SWASHES: Shallow Water Analytic Solutions for Hydraulic and Environmental Studies.
SWASHES is a library of Shallow Water Analytic Solutions for Hydraulic and Environmental Studies. A significant number of analytic solutions to the Shallow Water equations is described in a unified formalism. They encompass a wide variety of flow conditions (supercritical, subcritical, shock, etc.), in 1 or 2 space dimensions, with or without rain and soil friction, for transitory flow or steady state. The goal of this code is to help users of Shallow Water based models to easily find an adaptable benchmark library to validate numerical methods.
The SWASHES software can be downloaded on the website sourcesup. This software is distributed under CeCILL-V2 (GPL compatible) free software license. So, you are authorized to use the Software, without any limitation as to its fields of application. For any question, contact us at: (F. Darboux, O. Delestre, C. Lucas).
If you are using the Conda package manager, the SWASHES package is available at anaconda.org/lrntct/swashes. It works for linux 64 bits, windows 32 bits and windows 64 bits. SWASHES is also available as a Python library named pyswashes. With it you can obtain the selected analytic solution in the form of a csv, Pandas dataframe, NumPy array or ASCII Grid format. See pyswashes.readthedocs.io/en/latest/. The Conda package and the Python library have been developed by L. Courty.
How to cite:bibtex file SWASHES: a compilation of Shallow Water Analytic Solutions for Hydraulic and Environmental Studies, O. Delestre, C. Lucas, P.-A. Ksinant, F. Darboux, C. Laguerre, T. N. T. Vo, F. James, S. Cordier, International Journal for Numerical Methods in Fluids, 72(3): 269-300, 2013, doi:10.1002/fld.3741
@article{Berthon12,
title = {An analytical solution of Shallow Water system coupled to Exner equation},
author = {Christophe Berthon and Stéphane Cordier and Minh H. Le and Olivier Delestre},
url = {https://hal.archives-ouvertes.fr/hal-00648343},
doi = {10.1016/j.crma.2012.01.007},
year = {2012},
date = {2012-02-01},
urldate = {2012-02-01},
journal = {Comptes Rendus Mathématique},
volume = {350},
number = {3--4},
pages = {183--186},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Dans: International Journal for Numerical Methods in Fluids, vol. 72, no. 3, p. 269–300, 2013, (There are some errors in the published version. This is a corrected version.
See also https://onlinelibrary.wiley.com/doi/10.1002/fld.5175).
@article{Delestre13,
title = {SWASHES: a compilation of Shallow Water Analytic Solutions for Hydraulic and Environmental Studies},
author = {Olivier Delestre and Carine Lucas and Pierre-Antoine Ksinant and Frédéric Darboux and Christian Laguerre and Thi Ngoc Tuoi Vo and François James and Stéphane Cordier},
url = {https://hal.archives-ouvertes.fr/hal-00628246},
doi = {10.1002/fld.3741},
year = {2013},
date = {2013-05-01},
urldate = {2013-05-01},
journal = {International Journal for Numerical Methods in Fluids},
volume = {72},
number = {3},
pages = {269--300},
note = {There are some errors in the published version. This is a corrected version.
See also https://onlinelibrary.wiley.com/doi/10.1002/fld.5175},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@incollection{Delestre14b,
title = {SWASHES: A library for benchmarking in hydraulics / SWASHES : une bibliothèque de bancs d'essai en hydraulique},
author = {Olivier Delestre and Carine Lucas and Pierre-Antoine Ksinant and Frédéric Darboux and Christian Laguerre and François James and Stéphane Cordier},
editor = {P. Gourbesville and J. Cunge and G. Caignaert},
url = {https://hal.archives-ouvertes.fr/hal-00694195},
doi = {10.1007/978-981-4451-42-0_20},
year = {2014},
date = {2014-01-01},
urldate = {2014-01-01},
booktitle = {Advances in Hydroinformatics - SIMHYDRO 2012 - New Frontiers of Simulation},
pages = {233--243},
series = {Springer Hydrogeology},
keywords = {},
pubstate = {published},
tppubtype = {incollection}
}
Olivier Delestre; Carine Lucas; Pierre-Antoine Ksinant Garcia; Frédéric Darboux; Christian Laguerre; Noémie Gaveau; Maxime Rougier; Anne-Céline Boulanger; Marco Mancini; Stéphane Cordier; François James
@online{delestre:hal-02804975v3,
title = {SWASHES: Shallow Water Analytic Solutions for Hydraulic and Environmental Studies},
author = {Olivier Delestre and Carine Lucas and Pierre-Antoine Ksinant Garcia and Frédéric Darboux and Christian Laguerre and Noémie Gaveau and Maxime Rougier and Anne-Céline Boulanger and Marco Mancini and Stéphane Cordier and François James},
url = {https://hal.inrae.fr/hal-02804975},
year = {2024},
date = {2024-02-01},
institution = {Université d'Orléans (UO), Orléans, FRA. ; INRA Institut National de la Recherche Agronomique ; CNRS - Centre National de la Recherche Scientifique},
note = {HAL page of SWASHES software},
keywords = {},
pubstate = {published},
tppubtype = {online}
}
@techreport{Sadaka12,
title = {Solving shallow water flows in 2D with FreeFem++ on structured mesh},
author = {Georges Sadaka},
url = {https://hal.archives-ouvertes.fr/hal-00715301},
year = {2012},
date = {2012-07-01},
school = {LAMFA},
keywords = {},
pubstate = {published},
tppubtype = {techreport}
}
@phdthesis{Nguyen12,
title = {Impact de la résolution et de la précision de la topographie sur la modélisation de la dynamique d’invasion d’une crue en plaine inondable},
author = {Thanh Don Nguyen},
url = {http://ethesis.inp-toulouse.fr/archive/00002210/},
year = {2012},
date = {2012-11-01},
address = {Toulouse, France},
school = {Institut National Polytechnique de Toulouse},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@techreport{Couderc13,
title = {DassFow-Shallow, variational data assimilation for shallow-water models: Numerical schemes, user and developer guides},
author = {Frédéric Couderc and Ronan Madec and Jerome Monnier and Jean-Paul Vila},
url = {https://hal.archives-ouvertes.fr/hal-01120285},
year = {2013},
date = {2013-01-01},
school = {University of Toulouse, CNRS, IMT, INSA, ANR},
keywords = {},
pubstate = {published},
tppubtype = {techreport}
}
@inproceedings{Yoshioka13,
title = {A highly efficient shallow water model based on a selective lumping algorithm},
author = {H. Yoshioka and K. Unami and M. Fujihara},
url = {https://soil.en.a.u-tokyo.ac.jp/jsidre/search/PDFs/13/13004-15.pdf},
year = {2013},
date = {2013-01-01},
booktitle = {Annual meeting of the Japanese Society of Irrigation, Drainage and Reclamation Engineering},
pages = {398--399},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
@phdthesis{Desveaux13,
title = {Contribution à l’approximation numérique des systèmes hyperboliques},
author = {Vivien Desveaux},
url = {https://www.math.sciences.univ-nantes.fr/~berthon/etudiants/these_desveaux.pdf},
year = {2013},
date = {2013-01-01},
school = {École doctorale Sciences et technologies de l’information et mathématiques, Université de Nantes},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@article{Zhou13,
title = {An adaptive moving finite volume scheme for modeling flood inundation over dry and complex topography},
author = {Feng Zhou and Guoxian Chen and Yuefei Huang and Jerry Zhijian Yang and Hui Feng},
doi = {10.1002/wrcr.20179},
year = {2013},
date = {2013-04-01},
journal = {Water Resources Research},
volume = {49},
number = {4},
pages = {1914--1928},
publisher = {American Geophysical Union (AGU)},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Cordier13,
title = {FullSWOF Paral: Comparison of two parallelization strategies (MPI and SKELGIS) on a software designed for hydrology applications},
author = {S. Cordier and H. Coullon and O. Delestre and C. Laguerre and M. H. Le and D. Pierre and G. Sadaka},
doi = {10.1051/proc/201343004},
year = {2013},
date = {2013-12-01},
journal = {ESAIM: Proceedings},
volume = {43},
pages = {59--79},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Audusse13,
title = {Parallelization of a relaxation scheme modelling the bedload transport of sediments in shallow water flow},
author = {E. Audusse and O. Delestre and M. H. Le and M. Masson-Fauchier and P. Navaro and R. Serra},
editor = {Stéphane Descombes and Bernard Dussoubs and Sylvain Faure and Loïc Gouarin and Violaine Louvet and Marc Massot and Vincent Miele},
doi = {10.1051/proc/201343005},
year = {2013},
date = {2013-12-01},
journal = {ESAIM: Proceedings},
volume = {43},
pages = {80--94},
publisher = {EDP Sciences},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Yoshioka14,
title = {Friction slope formulae for the two-dimensional shallow water model},
author = {Hidekazu Yoshioka and Koichi Unami and Masayuki Fujihara},
doi = {10.2208/jscejhe.70.i_55},
year = {2014},
date = {2014-01-01},
journal = {Journal of Japan Society of Civil Engineers, Ser. B1 (Hydraulic Engineering)},
volume = {70},
number = {4},
pages = {55--60},
publisher = {Japan Society of Civil Engineers},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Dans: Fuhrmann, J.; Ohlberger, M.; Rohde, C. (Ed.): Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, vol. 77, p. 227–235, Springer International Publishing, 2014.
@incollection{Doyen14,
title = {An explicit staggered finite volume scheme for the shallow water equations},
author = {D. Doyen and P. H. Gunawan},
editor = {J. Fuhrmann and M. Ohlberger and C. Rohde},
doi = {10.1007/978-3-319-05684-5_21},
year = {2014},
date = {2014-01-01},
booktitle = {Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects},
volume = {77},
pages = {227--235},
publisher = {Springer International Publishing},
series = {Springer Proceedings in Mathematics and Statistics},
keywords = {},
pubstate = {published},
tppubtype = {incollection}
}
@article{Yoshioka14a,
title = {A simple finite volume model for dam break problems in multiply connected open channel networks with general cross-sections},
author = {Hidekazu Yoshioka and Koichi Unami and Masayuki Fujihara},
doi = {10.11345/nctam.62.131},
year = {2014},
date = {2014-01-01},
journal = {Theoretical and Applied Mechanics Japan},
volume = {62},
pages = {131--140},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@phdthesis{Saetra14c,
title = {Shallow water simulations on graphics hardware},
author = {Martin Lilleeng Sætra},
url = {http://hdl.handle.net/10852/40283},
year = {2014},
date = {2014-01-01},
address = {Norway},
school = {Faculty of Mathematics and Natural Sciences. University of Oslo},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@techreport{Bacigaluppi14,
title = {Upwind stabilized finite element modelling of non-hydrostatic wave breaking and run-up},
author = {Paola Bacigaluppi and Mario Ricchiuto and Philippe Bonneton},
url = {https://hal.inria.fr/hal-00990002},
year = {2014},
date = {2014-05-01},
number = {RR-8536},
school = {INRIA},
keywords = {},
pubstate = {published},
tppubtype = {techreport}
}
@article{Saetra14,
title = {Efficient GPU-implementation of adaptive mesh refinement for the shallow-water equations},
author = {Martin L. Sætra and André R. Brodtkorb and Knut-Andreas Lie},
doi = {10.1007/s10915-014-9883-4},
year = {2014},
date = {2014-07-01},
journal = {Journal of Scientific Computing},
volume = {63},
number = {1},
pages = {23--48},
publisher = {Springer Science and Business Media LLC},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Dans: Bertrand, Olivier; Coulet, Christophe (Ed.): Proceedings of the 21st Telemac Mascaret user conference, p. 185–192, Artelia Grenoble, France, 2014, ISBN: 978-2-9548911-0-1.
@inproceedings{Stadler14,
title = {A study of the HLLC scheme of TELEMAC-2D},
author = {L. Stadler and T. Brudy-Zippelius},
editor = {Olivier Bertrand and Christophe Coulet},
url = {https://www.opentelemac.org/downloads/Papers and Proceedings/telemac-mascaret_user_conference_2014-proceedings.pdf},
isbn = {978-2-9548911-0-1},
year = {2014},
date = {2014-10-01},
booktitle = {Proceedings of the 21st Telemac Mascaret user conference},
pages = {185--192},
address = {Grenoble, France},
organization = {Artelia},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
@article{Wang14,
title = {An analysis of dam-break flow on slope},
author = {Li-hui Wang and Cun-hong Pan},
doi = {10.1016/s1001-6058(14)60099-8},
year = {2014},
date = {2014-12-01},
journal = {Journal of Hydrodynamics},
volume = {26},
number = {6},
pages = {902--911},
publisher = {Springer Science and Business Media LLC},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Abily15,
title = {Uncertainty related to high resolution topographic data use for flood event modeling over urban areas: toward a sensitivity analysis approach},
author = {Morgan Abily and Olivier Delestre and Laura Amossé and Nathalie Bertrand and Yann Richet and Claire-Marie Duluc and Philippe Gourbesville and Pierre Navaro},
doi = {10.1051/proc/201448018},
year = {2015},
date = {2015-01-01},
journal = {ESAIM: Proceedings and Surveys},
volume = {48},
pages = {385--399},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@inproceedings{Ma15,
title = {High resolution rainfall-runoff simulation in urban area: assessment of Telemac-2D and Fullswof-2D},
author = {Qiang Ma and Morgan Abily and Ngoc Duong Vo and Philippe Gourbesville},
url = {https://www.iahr.org/library/infor?pid=8175},
year = {2015},
date = {2015-01-01},
booktitle = {Proceedings of the 36th IAHR World Congress},
pages = {8},
address = {The Hague, the Netherlands},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
@incollection{Unterweger15,
title = {Integration of FULLSWOF_2D and PeanoClaw: adaptivity and local time-stepping for complex overland flows},
author = {K. Unterweger and R. Wittmann and P. Neumann and T. Weinzierl and H. -J. Bungartz},
doi = {10.1007/978-3-319-22997-3_11},
year = {2015},
date = {2015-01-01},
booktitle = {Recent Trends in Computational Engineering – CE2014},
volume = {105},
pages = {181--195},
publisher = {Springer International Publishing},
series = {Lecture Notes in Computational Science and Engineering},
keywords = {},
pubstate = {published},
tppubtype = {incollection}
}
@article{Fang15,
title = {A non-hydrostatic model for water waves in nearshore region},
author = {K. Fang and J. Sun and Z. Liu and J. Yin},
doi = {10.14042/j.cnki.32.1309.2015.01.015},
year = {2015},
date = {2015-01-01},
journal = {Advances in Water Science},
volume = {26},
number = {1},
pages = {114-122},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Yoshioka15,
title = {Numerical comparison of shallow water models in multiply connected open channel networks},
author = {Hidekazu Yoshioka and Koichi Unami and Masayuki Fujihara},
doi = {10.15748/jasse.2.271},
year = {2015},
date = {2015-01-01},
journal = {Journal of Advanced Simulation in Science and Engineering},
volume = {2},
number = {2},
pages = {271--291},
publisher = {Japan Society for Simulation Technology},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@misc{Roberts15,
title = {ANUGA software: Open source hydrodynamic/hydraulic modelling project},
author = {Stephen Roberts and Gareth Davies and Ole Nielsen},
url = {https://github.com/GeoscienceAustralia/anuga_corehttp://github.com/GeoscienceAustralia/anuga_core/tree/master/validation_tests/analytical_exact},
year = {2015},
date = {2015-01-01},
journal = {GitHub},
note = {Australian National University and Geoscience Australia},
keywords = {},
pubstate = {published},
tppubtype = {misc}
}
@phdthesis{gunawan:tel-01216642,
title = {Numerical simulation of shallow water equations and related models},
author = {Harry Putu Gunawan},
url = {https://theses.hal.science/tel-01216642},
year = {2015},
date = {2015-01-01},
number = {2015PEST1010},
school = {Université Paris-Est},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@article{Le15,
title = {A faster numerical scheme for a coupled system modeling soil erosion and sediment transport},
author = {M. -H. Le and S. Cordier and C. Lucas and O. Cerdan},
doi = {10.1002/2014wr015690},
year = {2015},
date = {2015-02-01},
journal = {Water Resources Research},
volume = {51},
number = {2},
pages = {987--1005},
publisher = {American Geophysical Union (AGU)},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Dans: Idelsohn, Sergio R.; Idelsohn, Sergio R.; Sonzogni, Victorio; Coutinho, Alvaro; Cruchaga, Marcela; Lew, Adrian; Cerrolaza, Miguel (Ed.): PANACM 2015 - 1st pan-American congress on computational mechanics, in conjunction with the 11th Argentine congress on computational mechanics, MECOM 2015, p. 775–786, International Center for Numerical Methods in Engineering, 2015, ISBN: 978-849439282-5.
@inproceedings{Bustamante15b,
title = {Solution of two-dimensional shallow water equations by a localized radial basis function collocation method},
author = {Carlos A. Bustamante and Henry Power and Cesar Nieto and Whady F. Florez},
editor = {Sergio R. Idelsohn and Sergio R. Idelsohn and Victorio Sonzogni and Alvaro Coutinho and Marcela Cruchaga and Adrian Lew and Miguel Cerrolaza},
url = {http://www.scopus.com/inward/record.url?scp=84938709349&partnerID=8YFLogxK},
isbn = {978-849439282-5},
year = {2015},
date = {2015-04-01},
booktitle = {PANACM 2015 - 1st pan-American congress on computational mechanics, in conjunction with the 11th Argentine congress on computational mechanics, MECOM 2015},
pages = {775--786},
publisher = {International Center for Numerical Methods in Engineering},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
Dans: Kirby, Robert M.; Berzins, Martin; Hesthaven, Jan S. (Ed.): International Conference on Spectral and High Order Method (ICOSAHOM 2014), p. 8, Springer International Publishing, Salt Lake City, USA, 2015, ISBN: 9783319198002.
@inproceedings{Pasquetti15,
title = {Stabilized spectral element approximation of the Saint-Venant system using the entropy viscosity technique},
author = {R. Pasquetti and J. L. Guermond and B. Popov},
editor = {Robert M. Kirby and Martin Berzins and Jan S. Hesthaven},
url = {https://hal.archives-ouvertes.fr/hal-01107640},
doi = {10.1007/978-3-319-19800-2_36},
isbn = {9783319198002},
year = {2015},
date = {2015-06-01},
booktitle = {International Conference on Spectral and High Order Method (ICOSAHOM 2014)},
pages = {8},
publisher = {Springer International Publishing},
address = {Salt Lake City, USA},
series = {Lecture notes in computational science and engineering},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
@incollection{Delestre15,
title = {Comparison and validation of two parallelization approaches of FullSWOF_2D software on a real case},
author = {Olivier Delestre and Morgan Abily and Florian Cordier and Philippe Gourbesville and Hélène Coullon},
doi = {10.1007/978-981-287-615-7_27},
year = {2015},
date = {2015-08-01},
booktitle = {Advances in Hydroinformatics},
pages = {395--407},
publisher = {Springer Singapore},
keywords = {},
pubstate = {published},
tppubtype = {incollection}
}
@incollection{Delestre15a,
title = {Numerical scheme for a viscous shallow water system including new friction laws of second order: validation and application},
author = {Olivier Delestre and Ulrich Razafison},
doi = {10.1007/978-981-287-615-7_16},
year = {2015},
date = {2015-08-01},
booktitle = {Advances in Hydroinformatics},
pages = {227--239},
publisher = {Springer Singapore},
keywords = {},
pubstate = {published},
tppubtype = {incollection}
}
@inproceedings{Bustamante15,
title = {Hydrokinetic turbine location analysis by a local collocation method with radial basis functions for two-dimensional shallow water equations},
author = {C. A. Bustamante and W. F. Florez and H. Power and A. F. Hill},
doi = {10.2495/esus150011},
year = {2015},
date = {2015-09-01},
booktitle = {WIT Transactions on Ecology and the Environment},
publisher = {WIT Press},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
@article{Rousseau15,
title = {Overland flow modeling with the shallow water equations using a well-balanced numerical scheme: better predictions or just more complexity},
author = {M. Rousseau and O. Cerdan and O. Delestre and F. Dupros and F. James and S. Cordier},
doi = {10.1061/(asce)he.1943-5584.0001171},
year = {2015},
date = {2015-10-01},
journal = {Journal of Hydrologic Engineering},
volume = {20},
number = {10},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@misc{Clain15,
title = {The Tagus 1969 tsunami simulation with a finite volume solver and the hydrostatic reconstruction technique},
author = {Stéphane Clain and C. Reis and R. Costa and J. Figueiredo and M. A. Baptista and J. M. Miranda},
url = {https://hal.archives-ouvertes.fr/hal-01239498},
year = {2015},
date = {2015-12-01},
keywords = {},
pubstate = {published},
tppubtype = {misc}
}
@phdthesis{Abily15e,
title = {High-resolution modelling with bi-dimensional shallow water equations based codes: high-resolution topographic data use for flood hazard assessment over urban and industrial environments},
author = {Morgan Abily},
url = {https://tel.archives-ouvertes.fr/tel-01288217},
year = {2015},
date = {2015-12-01},
address = {Nice, France},
school = {École doctorale Sciences et technologies de l'information et de la communication. Université Nice Sophia Antipolis},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@article{Zakerzadeh16,
title = {On the convergence of a shock capturing discontinuous Galerkin method for nonlinear hyperbolic systems of conservation laws},
author = {Mohammad Zakerzadeh and Georg May},
doi = {10.1137/14096503x},
year = {2016},
date = {2016-01-01},
journal = {SIAM Journal on Numerical Analysis},
volume = {54},
number = {2},
pages = {874--898},
publisher = {Society for Industrial and Applied Mathematics (SIAM)},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Melo16,
title = {Método CE/SE com funções de base polinomial de segunda ordem para as equações de Saint-Venant unidimensionais},
author = {Adriano Rodrigues de Melo and Liliana Madalena Gramani and Eloy Kaviski},
doi = {10.26512/ripe.v2i12.21343},
year = {2016},
date = {2016-01-01},
journal = {Revista Interdisciplinar de Pesquisa em Engenharia},
volume = {2},
number = {12},
pages = {44--59},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@inproceedings{inproceedings,
title = {Finite Difference Numerical Scheme for Simulating Dam Break Flow},
author = {Mohammad Farid and Bagus Yakti and Akbar Rizaldi and Mohammad Adityawan},
url = {https://www.researchgate.net/publication/323836552_Finite_Difference_Numerical_Scheme_for_Simulating_Dam_Break_Flow},
year = {2016},
date = {2016-01-01},
urldate = {2016-01-01},
booktitle = {The 5th HATHI International Seminar on Water Resilience in a Changing World},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
@mastersthesis{Truong16,
title = {Numerical schemes for Shallow Water Equations},
author = {Dang Truong},
doi = {10.13140/RG.2.1.2147.6881},
year = {2016},
date = {2016-01-01},
address = {Orléans},
school = {Université d’Orléans. National University Ho Chi Minh City},
keywords = {},
pubstate = {published},
tppubtype = {mastersthesis}
}
@article{Wang16,
title = {Well-balanced finite difference weighted essentially non-oscillatory schemes for the blood flow model},
author = {Zhenzhen Wang and Gang Li and Olivier Delestre},
doi = {10.1002/fld.4232},
year = {2016},
date = {2016-03-01},
journal = {International Journal for Numerical Methods in Fluids},
volume = {82},
number = {9},
pages = {607--622},
publisher = {Wiley},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Fiser16,
title = {A mass conservative well-balanced reconstruction at wet/dry interfaces for the Godunov-type shallow water model},
author = {Martin Fišer and Ilhan Özgen and Reinhard Hinkelmann and Jan Vimmr},
doi = {10.1002/fld.4246},
year = {2016},
date = {2016-05-01},
journal = {International Journal for Numerical Methods in Fluids},
volume = {82},
number = {12},
pages = {893--908},
publisher = {Wiley},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Dans: 46th AIAA Fluid Dynamics Conference, p. 14, American Institute of Aeronautics and Astronautics American Institute of Aeronautics and Astronautics, Washington, D. C., USA, 2016.
@inproceedings{Zakerzadeh16b,
title = {High-order entropy stable discontinuous Galerkin schemes in a space-time computational framework},
author = {Mohammad Zakerzadeh and Georg May},
doi = {10.2514/6.2016-3496},
year = {2016},
date = {2016-06-01},
booktitle = {46th AIAA Fluid Dynamics Conference},
pages = {14},
publisher = {American Institute of Aeronautics and Astronautics},
address = {Washington, D. C., USA},
organization = {American Institute of Aeronautics and Astronautics},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
@article{Minatti16,
title = {Second order discontinuous Galerkin scheme for compound natural channels with movable bed. Applications for the computation of rating curves},
author = {Lorenzo Minatti and Pina Nicoletta De Cicco and Luca Solari},
doi = {10.1016/j.advwatres.2015.06.007},
year = {2016},
date = {2016-07-01},
journal = {Advances in Water Resources},
volume = {93},
pages = {89--104},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Pongsanguansin16,
title = {Shallow-water simulations by a well-balanced WAF finite volume method: a case study to the great flood in 2011, Thailand},
author = {Thida Pongsanguansin and Montri Maleewong and Khamron Mekchay},
doi = {10.1007/s10596-016-9589-9},
year = {2016},
date = {2016-09-01},
journal = {Computational Geosciences},
volume = {20},
number = {6},
pages = {1269--1285},
publisher = {Springer Science and Business Media LLC},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@phdthesis{MichelDansac16,
title = {Development of high-order well-balanced schemes for geophysical flows},
author = {Victor Michel-Dansac},
url = {https://tel.archives-ouvertes.fr/tel-01384958},
year = {2016},
date = {2016-09-01},
address = {Nantes, France},
school = {Faculté des sciences et des techniques. Université de Nantes},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@article{Clain16,
title = {Second-order finite volume with hydrostatic reconstruction for tsunami simulation},
author = {S. Clain and C. Reis and R. Costa and J. Figueiredo and M. A. Baptista and J. M. Miranda},
doi = {10.1002/2015ms000603},
year = {2016},
date = {2016-10-01},
journal = {Journal of Advances in Modeling Earth Systems},
volume = {8},
number = {4},
pages = {1691--1713},
publisher = {American Geophysical Union (AGU)},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Wu16,
title = {A Newton multigrid method for steady-state shallow water equations with topography and dry areas},
author = {Kailiang Wu and Huazhong Tang},
doi = {10.1007/s10483-016-2108-6},
year = {2016},
date = {2016-10-01},
journal = {Applied Mathematics and Mechanics},
volume = {37},
number = {11},
pages = {1441--1466},
publisher = {Springer Science and Business Media LLC},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Ni16,
title = {Simulation of free-surface flow using the smoothed particle hydrodynamics (SPH) method with radiation open boundary conditions},
author = {Xingye Ni and Jinyu Sheng and Weibing Feng},
doi = {10.1175/jtech-d-15-0179.1},
year = {2016},
date = {2016-11-01},
journal = {Journal of Atmospheric and Oceanic Technology},
volume = {33},
number = {11},
pages = {2435--2460},
publisher = {American Meteorological Society},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Dans: SC '16: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis, p. 621–632, Salt Lake City, UT, USA, 2016, ISSN: 2167-4337.
@inproceedings{Wahib16,
title = {Daino: a high-level framework for parallel and efficient AMR on GPUs},
author = {Mohamed Wahib and Naoya Maruyama and Takayuki Aoki},
doi = {10.1109/SC.2016.52},
issn = {2167-4337},
year = {2016},
date = {2016-11-01},
booktitle = {SC '16: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis},
pages = {621--632},
address = {Salt Lake City, UT, USA},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
@inproceedings{Cargnelutti16,
title = {Simulação de onda de maré por meio do método do reticulado de Boltzmann},
author = {Jocelaine Cargnelutti and Vanderlei Galina and Eloy Kaviski and Liliana Gramani and Adilandri Lobeiro},
url = {https://www.researchgate.net/publication/310607583_Simulacao_de_onda_de_mare_por_meio_do_Metodo_do_Reticulado_de_Boltzmann},
year = {2016},
date = {2016-11-01},
booktitle = {I Simpósio de Métodos Numéricos em Engenharia},
address = {Curitiba, Brazil},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
@article{Zhang16,
title = {An improved SWE model for simulation of dam-break flows},
author = {Yong Zhang and Pengzhi Lin},
doi = {10.1680/wama.15.00021},
year = {2016},
date = {2016-12-01},
journal = {Proceedings of the Institution of Civil Engineers - Water Management},
volume = {169},
number = {6},
pages = {260--274},
publisher = {Thomas Telford Ltd.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Dans: Cancès, C.; Omnes, P. (Ed.): Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems, vol. 200, p. 275–283, Springer International Publishing, 2017.
@incollection{Goutal17,
title = {A Godunov-type scheme for shallow water equations dedicated to simulations of overland flows on stepped slopes},
author = {Nicole Goutal and Minh-Hoang Le and Philippe Ung},
editor = {C. Cancès and P. Omnes},
doi = {10.1007/978-3-319-57394-6_30},
year = {2017},
date = {2017-01-01},
booktitle = {Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems},
volume = {200},
pages = {275--283},
publisher = {Springer International Publishing},
series = {Springer Proceedings in Mathematics & Statistics},
keywords = {},
pubstate = {published},
tppubtype = {incollection}
}
@article{Azerad17,
title = {Well-balanced second-order approximation of the shallow water equation with continuous finite elements},
author = {Pascal Azerad and Jean-Luc Guermond and Bojan Popov},
doi = {10.1137/17m1122463},
year = {2017},
date = {2017-01-01},
journal = {SIAM Journal on Numerical Analysis},
volume = {55},
number = {6},
pages = {3203--3224},
publisher = {Society for Industrial and Applied Mathematics (SIAM)},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Peng17,
title = {Multispeed lattice Boltzmann model with space-filling lattice for transcritical shallow water flows},
author = {Y. Peng and J. P. Meng and J. M. Zhang},
doi = {10.1155/2017/8917360},
year = {2017},
date = {2017-01-01},
journal = {Mathematical Problems in Engineering},
volume = {2017},
pages = {1--5},
publisher = {Hindawi Limited},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Ghigo17,
title = {Low-Shapiro hydrostatic reconstruction technique for blood flow simulation in large arteries with varying geometrical and mechanical properties},
author = {A. R. Ghigo and O. Delestre and J. -M. Fullana and P. -Y. Lagrée},
doi = {10.1016/j.jcp.2016.11.032},
year = {2017},
date = {2017-02-01},
journal = {Journal of Computational Physics},
volume = {331},
pages = {108--136},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Liu17,
title = {Three-dimensional shallow water system: A relaxation approach},
author = {Xin Liu and Abdolmajid Mohammadian and Julio Ángel Infante Sedano and Alexander Kurganov},
doi = {10.1016/j.jcp.2016.12.030},
year = {2017},
date = {2017-03-01},
journal = {Journal of Computational Physics},
volume = {333},
pages = {160--179},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Dans: 3rd International Conference on Numerical and Symbolic Computation: Developments and Applications, p. 189-204, Universidade do Minho, Guimarães, Portugal, 2017.
@inproceedings{Reis17,
title = {MUSCL vs MOOD techniques to solve the SWE in the framework of tsunami events},
author = {Claudia Reis and Jorge Figueiredo and Stéphane Clain and Rachid Omira and M. Baptista and Jorge Miranda},
url = {https://www.researchgate.net/publication/318429066_MUSCL_vs_MOOD_Techniques_to_Solve_the_SWE_in_the_Framework_of_Tsunami_Events},
year = {2017},
date = {2017-04-01},
booktitle = {3rd International Conference on Numerical and Symbolic Computation: Developments and Applications},
volume = {1},
pages = {189-204},
address = {Universidade do Minho, Guimarães, Portugal},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
@article{Courty17,
title = {Itzï (version 17.1): an open-source, distributed GIS model for dynamic flood simulation},
author = {Laurent Guillaume Courty and Adrián Pedrozo-Acuña and Paul David Bates},
doi = {10.5194/gmd-10-1835-2017},
year = {2017},
date = {2017-05-01},
journal = {Geoscientific Model Development},
volume = {10},
number = {4},
pages = {1835--1847},
publisher = {Copernicus GmbH},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Kim17,
title = {High-order discontinuous Galerkin methods with Lagrange multiplier for hyperbolic systems of conservation laws},
author = {Mi-Young Kim and Eun-Jae Park and Jaemin Shin},
doi = {10.1016/j.camwa.2017.02.039},
year = {2017},
date = {2017-05-01},
journal = {Computers and Mathematics with Applications},
volume = {73},
number = {9},
pages = {1945--1974},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Abreu17,
title = {A new finite volume approach for transport models and related applications with balancing source terms},
author = {E. Abreu and W. Lambert and J. Perez and A. Santo},
doi = {10.1016/j.matcom.2016.12.012},
year = {2017},
date = {2017-07-01},
journal = {Mathematics and Computers in Simulation},
volume = {137},
pages = {2--28},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Rodrigues17,
title = {High-order CE/SE scheme for dam-break flow simulation},
author = {A. Rodrigues and L. M. Gramani and E. Kaviski},
doi = {10.23967/j.rimni.2017.7.007},
year = {2017},
date = {2017-07-01},
journal = {Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería},
volume = {34},
number = {1},
pages = {9},
publisher = {Scipedia, S.L.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@phdthesis{Francois17,
title = {A study of Lagrangian-Eulerian methods for hyperbolic problems and balance laws},
author = {J. François},
url = {https://www.semanticscholar.org/paper/A-study-of-Lagrangian-Eulerian-methods-for-problems-François/82278d63bf10d28741669ede912449c9116e9ca7},
year = {2017},
date = {2017-07-01},
address = {Brazil},
school = {Instituto de Matemática, Estatística e Computação Científica. Universidade Estadual de Campinas},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@article{Li17,
title = {Well-balanced discontinuous Galerkin method and finite volume WENO scheme based on hydrostatic reconstruction for blood flow model in arteries},
author = {Gang Li and Olivier Delestre and Li Yuan},
doi = {10.1002/fld.4463},
year = {2017},
date = {2017-09-01},
journal = {International Journal for Numerical Methods in Fluids},
volume = {86},
number = {7},
pages = {491--508},
publisher = {Wiley},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@phdthesis{Ghigo17b,
title = {Reduced-order models for blood flow in networks of large arteries},
author = {Arthur Ghigo},
url = {https://tel.archives-ouvertes.fr/tel-01666313},
year = {2017},
date = {2017-09-01},
address = {Paris, France},
school = {Université Pierre et Marie Curie - Paris VI},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@article{Yao17,
title = {A high order well-balanced finite volume WENO scheme for a blood flow model in arteries},
author = {Zhonghua Yao and Gang Li and Jinmei Gao},
doi = {10.4208/eajam.181016.300517f},
year = {2017},
date = {2017-11-01},
journal = {East Asian Journal on Applied Mathematics},
volume = {7},
number = {4},
pages = {852--866},
publisher = {Global Science Press},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Delestre17,
title = {FullSWOF: Full Shallow-Water equations for Overland Flow},
author = {Olivier Delestre and Frédéric Darboux and François James and Carine Lucas and Christian Laguerre and Stéphane Cordier},
doi = {10.21105/joss.00448},
year = {2017},
date = {2017-12-01},
urldate = {2017-12-01},
journal = {The Journal of Open Source Software},
volume = {2},
number = {20},
pages = {448},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Parna18,
title = {GPU driven finite difference WENO scheme for real time solution of the shallow water equations},
author = {P. Parna and K. Meyer and R. Falconer},
doi = {10.1016/j.compfluid.2017.11.012},
year = {2018},
date = {2018-01-01},
journal = {Computers & Fluids},
volume = {161},
pages = {107--120},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Guermond18,
title = {Well-balanced second-order finite element approximation of the shallow water equations with friction},
author = {Jean-Luc Guermond and Manuel Quezada Luna and Bojan Popov and Christopher E. Kees and Matthew W. Farthing},
doi = {10.1137/17m1156162},
year = {2018},
date = {2018-01-01},
journal = {SIAM Journal on Scientific Computing},
volume = {40},
number = {6},
pages = {A3873--A3901},
publisher = {Society for Industrial and Applied Mathematics (SIAM)},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@mastersthesis{masterthesisAktar,
title = {The Analytical Solution Of The Nonlinear Shallow Water Equations By Using Laplace Variational Iteration Method},
author = {Most Aktar},
url = {https://www.researchgate.net/publication/360618695_THE_ANALYTICAL_SOLUTION_OF_THE_NONLINEAR_SHALLOW_WATER_EQUATIONS_BY_USING_LAPLACE_VARIATIONAL_ITERATION_METHOD},
year = {2018},
date = {2018-01-01},
urldate = {2018-01-01},
school = {Department of Mathematics, BANGLADESH UNIVERSITY OF ENGINEERING AND TECHNOLOGY},
type = {Master Thesis},
note = {Master Thesis},
keywords = {},
pubstate = {published},
tppubtype = {mastersthesis}
}
@article{Li18b,
title = {Estimating time of concentration for overland flow on pervious surfaces by particle tracking method},
author = {Xiaoning Li and Xing Fang and Junqi Li and Manoj Kc and Yongwei Gong and Gang Chen},
doi = {10.3390/w10040379},
year = {2018},
date = {2018-03-01},
journal = {Water},
volume = {10},
number = {4},
pages = {379},
publisher = {MDPI AG},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@phdthesis{Zakerzadeh18,
title = {Stable and convergent discontinuous Galerkin methods for hyperbolic and viscous systems of conservation laws},
author = {Mohammad Zakerzadeh},
url = {https://www.researchgate.net/publication/325216968_Stable_and_convergent_discontinuous_galerkin_methods_for_hyperbolic_and_viscous_systems_of_conservation_laws},
year = {2018},
date = {2018-03-01},
address = {Germany},
school = {Fakultät für Mathematik, Informatik und Naturwissenschaften. Aachen University},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@article{Marras18,
title = {A residual-based shock capturing scheme for the continuous/discontinuous spectral element solution of the 2D shallow water equations},
author = {Simone Marras and Michal A. Kopera and Emil M. Constantinescu and Jenny Suckale and Francis X. Giraldo},
doi = {10.1016/j.advwatres.2018.02.003},
year = {2018},
date = {2018-04-01},
journal = {Advances in Water Resources},
volume = {114},
pages = {45--63},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@phdthesis{Courty18,
title = {Integrated modelling of overland flows and drainage networks in a urban environment},
author = {Laurent Guillaume Courty},
doi = {10.31237/osf.io/38w4t},
year = {2018},
date = {2018-04-01},
address = {Mexico},
school = {Universidad Nacional Autónoma De México},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@article{Bonev18,
title = {Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction},
author = {Boris Bonev and Jan S. Hesthaven and Francis X. Giraldo and Michal A. Kopera},
doi = {10.1016/j.jcp.2018.02.008},
year = {2018},
date = {2018-06-01},
journal = {Journal of Computational Physics},
volume = {362},
pages = {425--448},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Qian18,
title = {An efficient high order well-balanced finite difference WENO scheme for the blood flow model},
author = {Shouguo Qian and Gang Li and Xianqing Lv and Fengjing Shao},
doi = {10.4208/aamm.OA-2016-0151},
year = {2018},
date = {2018-06-01},
journal = {Advances in Applied Mathematics and Mechanics},
volume = {10},
number = {1},
pages = {22--40},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@mastersthesis{Lundgren18,
title = {Efficient numerical methods for the shallow water equations},
author = {Lukas Lundgren},
url = {http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-354689},
year = {2018},
date = {2018-06-01},
address = {Sweden},
school = {Department of Information Technology. Uppsala University},
keywords = {},
pubstate = {published},
tppubtype = {mastersthesis}
}
@article{Meng18,
title = {Discrete Boltzmann model of shallow water equations with polynomial equilibria},
author = {Jianping Meng and Xiao-Jun Gu and David R. Emerson and Yong Peng and Jianmin Zhang},
doi = {10.1142/s0129183118500808},
year = {2018},
date = {2018-09-01},
journal = {International Journal of Modern Physics C},
volume = {29},
number = {09},
pages = {1850080},
publisher = {World Scientific Pub Co Pte Lt},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{MartinezAranda18,
title = {Towards transient experimental water surfaces: A new benchmark dataset for 2D shallow water solvers},
author = {S. Martínez-Aranda and J. Fernández-Pato and D. Caviedes-Voullième and I. García-Palacín and P. García-Navarro},
doi = {10.1016/j.advwatres.2018.08.013},
year = {2018},
date = {2018-11-01},
journal = {Advances in Water Resources},
volume = {121},
pages = {130--149},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Reis18,
title = {Comparison between MUSCL and MOOD techniques in a finite volume well-balanced code to solve SWE. The Tohoku-Oki, 2011 example},
author = {C. Reis and J. Figueiredo and S. Clain and R. Omira and M. A. Baptista and J. M. Miranda},
doi = {10.1093/gji/ggy472},
year = {2018},
date = {2018-11-01},
journal = {Geophysical Journal International},
volume = {216},
number = {2},
pages = {958--983},
publisher = {Oxford University Press (OUP)},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{James19,
title = {Towards a new friction model for shallow water equations through an interactive viscous layer},
author = {François James and Pierre-Yves Lagrée and Minh H. Le and Mathilde Legrand},
doi = {10.1051/m2an/2018076},
year = {2019},
date = {2019-01-01},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
volume = {53},
number = {1},
pages = {269--299},
publisher = {EDP Sciences},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Asadi19,
title = {Assessment of time integration methods in the numerical solution of two-dimensional shallow water equations},
author = {M. Asadi and M. Mazaheri and J. Mohamad Vali Samani},
doi = {10.22055/jise.2019.25785.1765},
year = {2019},
date = {2019-01-01},
journal = {Journal of Irrigation Sciences and Engineering},
publisher = {دانشگاه شهید چمران اهواز},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@unpublished{https://doi.org/10.48550/arxiv.1907.10713,
title = {Energy versus entropy estimates for nonlinear hyperbolic systems of equations},
author = {Jan Nordström and Andrew R. Winters},
url = {http://liu.diva-portal.org/smash/get/diva2:1339295/FULLTEXT01.pdf},
year = {2019},
date = {2019-01-01},
urldate = {2019-01-01},
keywords = {},
pubstate = {published},
tppubtype = {unpublished}
}
@unpublished{tai:hal-02305269,
title = {Multi-Scale Approximation of Thin-Layer Flows on Curved Topographies},
author = {Yih-Chin Tai and Jeaniffer Vides and Boniface Nkonga and Chih-Yu Kuo},
url = {https://hal.inria.fr/hal-02305269},
year = {2019},
date = {2019-01-01},
keywords = {},
pubstate = {published},
tppubtype = {unpublished}
}
@article{Homayoon19,
title = {Development of an analytical benchmark solution to assess various gradually varied flow computations},
author = {L. Homayoon and M. J. Abedini},
doi = {10.1080/09715010.2018.1563872},
year = {2019},
date = {2019-02-01},
journal = {ISH Journal of Hydraulic Engineering},
volume = {27},
number = {4},
pages = {418--426},
publisher = {Informa UK Limited},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Ni19,
title = {An SPH wave-current flume using open boundary conditions},
author = {Xing-ye Ni and Wei-bing Feng and Shi-chang Huang and Zi-jun Hu and Yong Liu},
doi = {10.1007/s42241-019-0030-4},
year = {2019},
date = {2019-03-01},
journal = {Journal of Hydrodynamics},
volume = {32},
number = {3},
pages = {536--547},
publisher = {Springer Science and Business Media LLC},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@misc{Ngondiep19,
title = {A MacCormack method for complete shallow water equations with source terms},
author = {Eric Ngondiep and Alqahtani T. Rubayyi and Jean C. Ntonga},
doi = {10.48550/arXiv.1903.11104},
year = {2019},
date = {2019-03-01},
publisher = {arXiv},
keywords = {},
pubstate = {published},
tppubtype = {misc}
}
@article{ButtingerKreuzhuber19,
title = {A fast second-order shallow water scheme on two-dimensional structured grids over abrupt topography},
author = {Andreas Buttinger-Kreuzhuber and Zsolt Horváth and Sebastian Noelle and Günter Blöschl and Jürgen Waser},
doi = {10.1016/j.advwatres.2019.03.010},
year = {2019},
date = {2019-05-01},
journal = {Advances in Water Resources},
volume = {127},
pages = {89--108},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Mario Morales Hernandez; Md Bulbul Sharif; Sudershan Gangrade; Tigstu T. Dullo; Shih-Chieh Kao; Alfred J. Kalyanapu; Sheikh Ghafoor; Katherine J. Evans
@inproceedings{osti_1559648,
title = {High Performance Computing in hydraulics: the new era of flood forecasting},
author = {Mario Morales Hernandez and Md Bulbul Sharif and Sudershan Gangrade and Tigstu T. Dullo and Shih-Chieh Kao and Alfred J. Kalyanapu and Sheikh Ghafoor and Katherine J. Evans},
url = {https://www.osti.gov/biblio/1559648},
year = {2019},
date = {2019-06-17},
urldate = {2019-06-17},
booktitle = {Modeling Hydrodynamics for Water Resources (MODWATER 2019)},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
@article{Kesserwani19,
title = {(Multi)wavelets increase both accuracy and efficiency of standard Godunov-type hydrodynamic models},
author = {Georges Kesserwani and James Shaw and Mohammad K. Sharifian and Domenico Bau and Christopher J. Keylock and Paul D. Bates and Jennifer K. Ryan},
doi = {10.1016/j.advwatres.2019.04.019},
year = {2019},
date = {2019-07-01},
journal = {Advances in Water Resources},
volume = {129},
pages = {31--55},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@misc{Nordstroem19,
title = {A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions},
author = {Jan Nordström and Andrew R. Winters},
doi = {10.48550/arXiv.1907.10713},
year = {2019},
date = {2019-07-01},
publisher = {arXiv},
keywords = {},
pubstate = {published},
tppubtype = {misc}
}
@article{Hodges19,
title = {Timescale interpolation and no-neighbour discretization for a 1D finite-volume Saint-Venant solver},
author = {Ben R. Hodges and Frank Liu},
doi = {10.1080/00221686.2019.1671510},
year = {2019},
date = {2019-11-01},
journal = {Journal of Hydraulic Research},
volume = {58},
number = {5},
pages = {738--754},
publisher = {Informa UK Limited},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@inproceedings{Santos19,
title = {A comparative study on the use of stabilized and flux-corrected transport finite element methods to solve the shallow water equations},
author = {Túlio Santos and Alvaro Coutinho},
url = {https://www.researchgate.net/publication/337334414_A_comparative_study_on_the_use_of_stabilized_and_flux-corrected_transport_finite_element_methods_to_solve_the_shallow_water_equations},
year = {2019},
date = {2019-11-01},
booktitle = {CILAMCE 2019 --- XL Ibero-Latin American Congress on Computational Methods in Engineering},
address = {Natal, Rio Grande do Norte, Brazil},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
@article{Papoutsellis19,
title = {Modelling of depth-induced wave breaking in a fully nonlinear free-surface potential flow model},
author = {Christos E. Papoutsellis and Marissa L. Yates and Bruno Simon and Michel Benoit},
doi = {10.1016/j.coastaleng.2019.103579},
year = {2019},
date = {2019-12-01},
journal = {Coastal Engineering},
volume = {154},
pages = {103579},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@techreport{Waade20,
title = {Predicting the steady state solutions of the 1D shallow water equations},
author = {Eystein Waade and Simon Huss and William Sjosten},
url = {http://www.it.uu.se/edu/course/homepage/projektTDB/ht19/project10a/Project10a_report.pdf},
year = {2020},
date = {2020-01-01},
address = {Sweden},
institution = {Institutionen för informationsteknologi, Uppsala University},
keywords = {},
pubstate = {published},
tppubtype = {techreport}
}
@article{Leakey20,
title = {Modelling the impact of leaky barriers with a 1D Godunov-type scheme for the shallow water equations},
author = {Shannon Leakey and Caspar J. M. Hewett and Vassilis Glenis and Paul F. Quinn},
doi = {10.3390/w12020371},
year = {2020},
date = {2020-01-01},
journal = {Water},
volume = {12},
number = {2},
pages = {371},
publisher = {MDPI AG},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Venturi20,
title = {A new collision operator for lattice Boltzmann shallow water model: a convergence and stability study},
author = {Sara Venturi and Silvia Di Francesco and Martin Geier and Piergiorgio Manciola},
doi = {10.1016/j.advwatres.2019.103474},
year = {2020},
date = {2020-01-01},
journal = {Advances in Water Resources},
volume = {135},
pages = {103474},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@mastersthesis{masterthesisLoureiro,
title = {Estudo De Um Método De Otimização Para O Posicionamento De Turbinas Hidráulicas Em Um Escoamento Gradualmente Variado},
author = {Hugo Fonseca Jebe Loureiro},
url = {http://www.repositorio.poli.ufrj.br/monografias/monopoli10030356.pdf},
year = {2020},
date = {2020-01-01},
urldate = {2020-01-01},
school = {Universidad Federal do Rio de Janeiro / Escola Politécnica},
type = {master thesis},
note = {Master Thesis},
keywords = {},
pubstate = {published},
tppubtype = {mastersthesis}
}
@inproceedings{inproceedingsb,
title = {A newly implemented upwind scheme and numerical benchmark for the resolution of the Exner equation in GAIA},
author = {Sacha Revillon and Florent Taccone and Fabien Souillé},
url = {https://hdl.handle.net/20.500.11970/107444},
year = {2020},
date = {2020-01-01},
urldate = {2020-01-01},
booktitle = {2020 - TELEMAC-MASCARET Online User Conference},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
@article{Zia20,
title = {Numerical approximation of blood flow in arteries using kinetic flux-vector splitting (KFVS) scheme},
author = {Saqib Zia and Omar Rabbani and Sidrah Ahmed and Asad Rehman},
doi = {10.1140/epjp/s13360-020-00281-3},
year = {2020},
date = {2020-02-01},
journal = {The European Physical Journal Plus},
volume = {135},
number = {3},
publisher = {Springer Science and Business Media LLC},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Santos20,
title = {A shallow water event-driven approach to simulate turbidity currents at stratigraphic scale},
author = {Túlio L. Santos and Alexandre A. O. Lopes and Alvaro L. G. A. Coutinho},
doi = {10.1002/fld.4828},
year = {2020},
date = {2020-03-01},
journal = {International Journal for Numerical Methods in Fluids},
volume = {92},
number = {10},
pages = {1290--1321},
publisher = {Wiley},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Saboorkazeran20,
title = {Short-term and long-term solutions of two-dimensional shallow water equations using the modified decomposition method},
author = {Hossein Saboorkazeran and Mehdi Raoofian Naeeni and Mohammad Ali Banihashemi},
doi = {10.1007/s40996-020-00423-8},
year = {2020},
date = {2020-05-01},
journal = {Iranian Journal of Science and Technology, Transactions of Civil Engineering},
volume = {45},
number = {3},
pages = {1929--1949},
publisher = {Springer Science and Business Media LLC},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Li20a,
title = {Prototyping a numerical model coupled with remote sensing for tracking harmful algal blooms in shallow lakes},
author = {Hu Li and Chengxin Qin and Weiqi He and Fu Sun and Pengfei Du},
doi = {10.1016/j.gecco.2020.e00938},
year = {2020},
date = {2020-06-01},
journal = {Global Ecology and Conservation},
volume = {22},
pages = {e00938},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Bagherpoorfard20,
title = {Moving mesh version of wave propagation algorithm based on augmented Riemann solver},
author = {Mina Bagherpoorfard and Ali R. Soheili},
doi = {10.1016/j.amc.2020.125087},
year = {2020},
date = {2020-06-01},
journal = {Applied Mathematics and Computation},
volume = {375},
pages = {125087},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Holm20,
title = {Evaluation of selected finite-difference and finite-volume approaches to rotational shallow-water flow},
author = {Håvard H. Holm and André R. Brodtkorb and Göran Broström and Kai H. Christensen and Martin L. Sætra},
doi = {10.4208/cicp.oa-2019-0033},
year = {2020},
date = {2020-06-01},
journal = {Communications in Computational Physics},
volume = {27},
number = {4},
pages = {1234--1274},
publisher = {Global Science Press},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Sanjoyo20,
title = {Stable algorithm based on Lax-Friedrichs scheme for visual simulation of shallow water},
author = {Bandung Arry Sanjoyo and Mochamad Hariadi and Mauridhi Hery Purnomo},
doi = {10.24003/emitter.v8i1.479},
year = {2020},
date = {2020-06-01},
journal = {EMITTER International Journal of Engineering Technology},
volume = {8},
number = {1},
pages = {19--34},
publisher = {EMITTER International Journal of Engineering Technology},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Pilotti20,
title = {Dam-break wave propagation in Alpine valley with HEC-RAS 2D: experimental Cancano test case},
author = {Marco Pilotti and Luca Milanesi and Vito Bacchi and Massimo Tomirotti and Andrea Maranzoni},
doi = {10.1061/(asce)hy.1943-7900.0001779},
year = {2020},
date = {2020-06-01},
journal = {Journal of Hydraulic Engineering},
volume = {146},
number = {6},
publisher = {American Society of Civil Engineers (ASCE)},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Ion20,
title = {Constructive approach of the solution of Riemann problem for shallow water equations with topography and vegetation},
author = {Stelian Ion and Stefan-Gicu Cruceanu and Dorin Marinescu},
doi = {10.2478/auom-2020-0021},
year = {2020},
date = {2020-07-01},
journal = {Analele Universitatii "Ovidius" Constanta - Seria Matematica},
volume = {28},
number = {2},
pages = {93--114},
publisher = {Walter de Gruyter GmbH},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{CortesVelez20,
title = {1-D shallow water equation, with no viscosity and no rotation, for a topography represented by a quadratic function},
author = {Catalina Cortés-Vélez and Beatriz Martín-Atienza and Rafael Hernandez-Walls},
doi = {10.1088/2399-6528/abaa8c},
year = {2020},
date = {2020-08-01},
journal = {Journal of Physics Communications},
volume = {4},
number = {8},
pages = {085005},
publisher = {IOP Publishing},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Jantiene E. M. Baartman; João Pedro Nunes; Rens Masselink; Frédéric Darboux; Charles Bielders; Aurore Degré; Vincent Cantreul; Olivier Cerdan; Thomas Grangeon; Peter Fiener; Florian Wilken; Marcus Schindewolf; John Wainwright
@article{Baartman20,
title = {What do models tell us about water and sediment connectivity?},
author = {Jantiene E. M. Baartman and João Pedro Nunes and Rens Masselink and Frédéric Darboux and Charles Bielders and Aurore Degré and Vincent Cantreul and Olivier Cerdan and Thomas Grangeon and Peter Fiener and Florian Wilken and Marcus Schindewolf and John Wainwright},
doi = {10.1016/j.geomorph.2020.107300},
year = {2020},
date = {2020-10-01},
journal = {Geomorphology},
volume = {367},
pages = {107300},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{ODea20,
title = {Implementation and assessment of a flux limiter based wetting and drying scheme in NEMO},
author = {Enda O'Dea and Michael J. Bell and Andrew Coward and Jason Holt},
doi = {10.1016/j.ocemod.2020.101708},
year = {2020},
date = {2020-11-01},
journal = {Ocean Modelling},
volume = {155},
pages = {101708},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Abdedou20,
title = {Uncertainty propagation of dam break flow using the stochastic non-intrusive B-splines Bézier elements-based method},
author = {Azzedine Abdedou and Azzeddine Soulaïmani and Georges Williams Tchamen},
doi = {10.1016/j.jhydrol.2020.125342},
year = {2020},
date = {2020-11-01},
journal = {Journal of Hydrology},
volume = {590},
pages = {125342},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@misc{Karjoun20,
title = {A well-balanced positivity preserving cell-vertex finite volume method satisfying the discrete maximum-minimum principle for coupled models of surface water flow and scalar transport},
author = {Hasan Karjoun and Abdelaziz Beljadid and Philippe G. LeFloch},
doi = {10.48550/arXiv.2012.13702},
year = {2020},
date = {2020-12-01},
publisher = {arXiv},
keywords = {},
pubstate = {published},
tppubtype = {misc}
}
@phdthesis{ButtingerKreuzhuber21,
title = {Accurate and fast hydrodynamic modeling of fluvial and pluvial floods at large scales},
author = {Andreas Buttinger-Kreuzhuber},
doi = {10.34726/HSS.2021.94420},
year = {2021},
date = {2021-01-01},
publisher = {TU Wien},
address = {Universität Wien, Austria},
school = {Institut für Wasserbau und Ingenieurhydrologie},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@phdthesis{phdthesisAbdedou,
title = {Méthodes stochastiques non-intrusives pour l’analyse de la propagation d’incertitudes: Application aux écoulements des ruptures de barrages},
author = {Azzedine Abdedou},
url = {https://espace.etsmtl.ca/id/eprint/2746/1/ABDEDOU%20Azzedine.pdf},
year = {2021},
date = {2021-01-01},
school = {École de technologie supérieure, Université du Quebec},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@article{Ketcheson21,
title = {Numerical simulation and entropy dissipative cure of the carbuncle instability for the shallow water circular hydraulic jump},
author = {David I. Ketcheson and Manuel Quezada Luna},
url = {http://arxiv.org/abs/2103.09664},
doi = {10.1002/fld.5070},
year = {2021},
date = {2021-03-01},
journal = {International Journal for Numerical Methods in Fluids},
volume = {94},
number = {6},
pages = {655--677},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Figueiredo21,
title = {A MOOD-MUSCL hybrid formulation for the non-conservative shallow-water system},
author = {J. Figueiredo and S. Clain},
doi = {10.1007/s10915-021-01513-z},
year = {2021},
date = {2021-05-01},
journal = {Journal of Scientific Computing},
volume = {88},
pages = {2},
publisher = {Springer Science and Business Media LLC},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@misc{Skevington21,
title = {A well balanced reconstruction with bounded velocities and low-oscillation slow shocks for the shallow water equations},
author = {Edward W. G. Skevington},
doi = {10.48550/arXiv.2106.11256},
year = {2021},
date = {2021-06-01},
publisher = {arXiv},
keywords = {},
pubstate = {published},
tppubtype = {misc}
}
@article{Liu21,
title = {A lattice Boltzmann model for the viscous shallow water equations with source terms},
author = {Yu Liu and Zhenhua Chai and Xiuya Guo and Baochang Shi},
doi = {10.1016/j.jhydrol.2021.126428},
year = {2021},
date = {2021-07-01},
journal = {Journal of Hydrology},
volume = {598},
pages = {126428},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Heinrich21,
title = {Taitoko, an advanced code for tsunami propagation, developed at the French tsunami warning centers},
author = {P. Heinrich and A. Jamelot and A. Cauquis and A. Gailler},
doi = {10.1016/j.euromechflu.2021.03.001},
year = {2021},
date = {2021-07-01},
journal = {European Journal of Mechanics - B/Fluids},
volume = {88},
pages = {72--88},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{MoralesHernandez21,
title = {TRITON: A multi-GPU open source 2D hydrodynamic flood model},
author = {M. Morales-Hernández and Md B. Sharif and A. Kalyanapu and S. K. Ghafoor and T. T. Dullo and S. Gangrade and S. -C. Kao and M. R. Norman and K. J. Evans},
doi = {10.1016/j.envsoft.2021.105034},
year = {2021},
date = {2021-07-01},
journal = {Environmental Modelling and Software},
volume = {141},
pages = {105034},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{NouhouBako21,
title = {A unifying model framework for soil erosion, river bedload and chemical transport},
author = {Amina Nouhou-Bako and Carine Lucas and Frédéric Darboux and François James and Noémie Gaveau},
url = {https://hal.archives-ouvertes.fr/hal-02968521},
doi = {10.1016/j.hydroa.2021.100082},
year = {2021},
date = {2021-08-01},
urldate = {2021-08-01},
journal = {Journal of Hydrology X},
volume = {12},
pages = {100082},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{MichelDansac21,
title = {A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction},
author = {Victor Michel-Dansac and Christophe Berthon and Stéphane Clain and Françoise Foucher},
doi = {10.1016/j.compfluid.2021.105152},
year = {2021},
date = {2021-11-01},
journal = {Computers and Fluids},
volume = {230},
pages = {105152},
publisher = {Elsevier BV},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Kirstetter21,
title = {B-flood 1.0: an open-source Saint-Venant model for flash flood simulation using adaptive refinement},
author = {Geoffroy Kirstetter and Olivier Delestre and Pierre-Yves Lagrée and Stéphane Popinet and Christophe Josserand},
doi = {10.5194/gmd-14-7117-2021},
year = {2021},
date = {2021-11-01},
journal = {Geoscientific Model Development},
volume = {14},
number = {11},
pages = {7117--7132},
publisher = {Copernicus GmbH},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Karjoun22,
title = {A structure-preserving algorithm for surface water flows with transport processes},
author = {Hasan Karjoun and Abdelaziz Beljadid and Philippe G. LeFloch},
doi = {10.1007/s10444-021-09918-y},
year = {2022},
date = {2022-01-01},
journal = {Advances in Computational Mathematics},
volume = {48},
number = {1},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@incollection{Tveito22,
title = {Digital twin for design and optimization of DC casting lines},
author = {Knut Omdal Tveito and Arild Håkonsen},
doi = {10.1007/978-3-030-92529-1_88},
year = {2022},
date = {2022-01-01},
pages = {674–680},
publisher = {Springer International Publishing},
keywords = {},
pubstate = {published},
tppubtype = {incollection}
}
@mastersthesis{LiVolsi22,
title = {A multilayer shallow water like method applied to thin film},
author = {Jacopo Li Volsi},
url = {http://hdl.handle.net/10589/187293},
year = {2022},
date = {2022-01-01},
school = {ING - Scuola di Ingegneria Industriale e dell'Informazione},
keywords = {},
pubstate = {published},
tppubtype = {mastersthesis}
}
@misc{Hajduk22,
title = {Bound-preserving and entropy-stable algebraic flux correction schemes for the shallow water equations with topography},
author = {Hennes Hajduk and Dmitri Kuzmin},
doi = {10.48550/ARXIV.2207.07261},
year = {2022},
date = {2022-01-01},
publisher = {arXiv},
keywords = {},
pubstate = {published},
tppubtype = {misc}
}
@phdthesis{Hajduk22a,
title = {Algebraically constrained finite element methods for hyperbolic problems with applications in geophysics and gas dynamics},
author = {Hennes Hajduk},
doi = {10.17877/DE290R-22850},
year = {2022},
date = {2022-01-01},
publisher = {TU Dortmund},
school = {Fakultät für Mathematik, Technische Universität Dortmund},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@phdthesis{MasoSotomayor22,
title = {Coupling shallow water models with three-dimensional models for the study of fluid-structure interaction problems using the particle finite element method},
author = {Miguel Maso Sotomayor},
url = {http://hdl.handle.net/2117/379459},
year = {2022},
date = {2022-01-01},
school = {UPC, Departament d'Enginyeria Civil i Ambiental},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@mastersthesis{Anelli22,
title = {Physics-informed neural networks for Shallow Water equations},
author = {Riccardo Anelli},
url = {http://hdl.handle.net/10589/195179},
year = {2022},
date = {2022-01-01},
school = {ING - Scuola di Ingegneria Industriale e dell'Informazione},
keywords = {},
pubstate = {published},
tppubtype = {mastersthesis}
}
@phdthesis{Sialounas22,
title = {Reconstruction based error detection for robust approximation of partial differential equations},
author = {Georgios Sialounas},
doi = {10.48683/1926.00110385},
year = {2022},
date = {2022-01-01},
publisher = {University of Reading},
school = {School of Mathematical, Physical & Computational Sciences, University of Reading},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@article{Ion22,
title = {Numerical scheme for solving a porous Saint-Venant type model for water flow on vegetated hillslopes},
author = {Stelian Ion and Dorin Marinescu and Stefan-Gicu Cruceanu},
doi = {10.1016/j.apnum.2021.09.019},
year = {2022},
date = {2022-02-01},
journal = {Applied Numerical Mathematics},
volume = {172},
pages = {67--98},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Maso22,
title = {A FIC-FEM procedure for the shallow water equations over partially wet domains},
author = {Miguel Masó and Ignasi de-Pouplana and Eugenio Oñate},
doi = {10.1016/j.cma.2021.114362},
year = {2022},
date = {2022-02-01},
journal = {Computer Methods in Applied Mechanics and Engineering},
volume = {389},
pages = {114362},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Sarkhosh22,
title = {MPS modeling of cross-sectional averaged shallow water flows with open boundaries using TVD-MacCormack predictor-corrector},
author = {Payam Sarkhosh and Yee-Chung Jin},
doi = {10.1016/j.jhydrol.2022.127566},
year = {2022},
date = {2022-05-01},
journal = {Journal of Hydrology},
volume = {608},
pages = {127566},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Zhao22,
title = {Novel variable reconstruction and friction term discretisation schemes for hydrodynamic modelling of overland flow and surface water flooding},
author = {Jiaheng Zhao and Qiuhua Liang},
doi = {10.1016/j.advwatres.2022.104187},
year = {2022},
date = {2022-05-01},
journal = {Advances in Water Resources},
volume = {163},
pages = {104187},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Dullo22,
title = {Reliability assessment of computational river models},
author = {Tigstu Tsige Dullo and Kaveh Zamani and Alfred J. Kalyanapu},
doi = {10.1061/(asce)ir.1943-4774.0001681},
year = {2022},
date = {2022-06-01},
journal = {Journal of Irrigation and Drainage Engineering},
volume = {148},
number = {6},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Magdalena22,
title = {Numerical treatment of finite difference method for solving dam break model on a wet-dry bed with an obstacle},
author = {I. Magdalena and Muhamad Fikri Eka Pebriansyah},
doi = {10.1016/j.rineng.2022.100382},
year = {2022},
date = {2022-06-01},
journal = {Results in Engineering},
volume = {14},
pages = {100382},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Kuzmin22,
title = {Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems},
author = {Dmitri Kuzmin and Hennes Hajduk and Andreas Rupp},
url = {http://arxiv.org/abs/2107.11283},
doi = {10.1016/j.cma.2021.114428},
year = {2022},
date = {2022-07-01},
journal = {Computer Methods in Applied Mechanics and Engineering},
volume = {389},
pages = {114428},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Berthon21,
title = {A very easy high-order well-balanced reconstruction for hyperbolic systems with source terms},
author = {Christophe Berthon and Solène Bulteau and Françoise Foucher and Meissa M'Baye and Victor Michel-Dansac},
url = {https://hal.science/hal-03271103},
doi = {10.1137/21m1429230},
year = {2022},
date = {2022-08-18},
urldate = {2021-06-01},
journal = {SIAM Journal on Scientific Computing},
volume = {44},
number = {4},
pages = {A2506--A2535},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Brutto22,
title = {A semi-implicit finite volume scheme for a simplified hydrostatic model for fluid-structure interaction},
author = {Cristian Brutto and Michael Dumbser},
doi = {10.1002/fld.5143},
year = {2022},
date = {2022-09-01},
journal = {International Journal for Numerical Methods in Fluids},
volume = {95},
number = {1},
pages = {107–142},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@phdthesis{Ciallella22b,
title = {High order methods for hyperbolic balance laws: from embedded fronts to structure-preserving schemes},
author = {Mirco Ciallella},
url = {https://theses.hal.science/tel-03875864},
year = {2022},
date = {2022-09-01},
number = {2022BORD0255},
school = {Université de Bordeaux},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@article{Abreu22,
title = {Convergence, bounded variation properties and Kruzhkov solution of a fully discrete Lagrangian–Eulerian scheme via weak asymptotic analysis for 1D hyperbolic problems},
author = {Eduardo Abreu and Arthur Espı́rito Santo and Wanderson Lambert and John Pérez},
doi = {10.1002/num.22972},
year = {2022},
date = {2022-12-01},
journal = {Numerical Methods for Partial Differential Equations},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@phdthesis{BoulosAlMakary22,
title = {Stationary solutions and well-balanced schemes for the Shallow Water model with two velocities and topography},
author = {Nelly Boulos Al Makary},
url = {https://hal.science/tel-03990996},
year = {2022},
date = {2022-12-01},
school = {Sorbonne Paris Nord},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@phdthesis{Masset22,
title = {Équations de Saint-Venant avec effets rotatifs et thermiques : aspects théoriques et schémas numériques},
author = {Alice Masset},
url = {https://theses.hal.science/tel-04095032},
year = {2022},
date = {2022-12-01},
number = {2022AMIE0068},
school = {Université de Picardie Jules Verne},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@article{Alqahtani23,
title = {Stability analysis and convergence rate of a two-step predictor-corrector approach for shallow water equations with source terms},
author = {Rubayyi T. Alqahtani and Jean C. Ntonga and Eric Ngondiep},
doi = {10.3934/math.2023465},
year = {2023},
date = {2023-01-01},
journal = {AIMS Mathematics},
volume = {8},
number = {4},
pages = {9265–9289},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@misc{Cozzolino23,
title = {Mathematical and numerical modelling of rapid transients at partially lifted sluice gates},
author = {Luca Cozzolino and Giada Varra and Luigi Cimorelli and Renata Della Morte},
doi = {10.48550/ARXIV.2303.07396},
year = {2023},
date = {2023-01-01},
publisher = {arXiv},
keywords = {},
pubstate = {published},
tppubtype = {misc}
}
@article{Asfandiyarov23,
title = {A high–resolution numerical method for solving the shallow water equations based on the modified Cabaret scheme},
author = {D. G. Asfandiyarov and O. S. Sorokovikova},
doi = {10.25587/SVFU.2023.33.65.009},
year = {2023},
date = {2023-01-01},
journal = {Mathematical Notes of Nefu},
volume = {30},
number = {3},
pages = {91–112},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Chowdhury23,
title = {GPU-parallelisation of Haar wavelet-based grid resolution adaptation for fast finite volume modelling: application to shallow water flows},
author = {A. A. Chowdhury and G. Kesserwani and C. Rougé and P. Richmond},
doi = {10.2166/hydro.2023.154},
year = {2023},
date = {2023-01-01},
journal = {Journal of Hydroinformatics},
volume = {25},
number = {4},
pages = {1210–1234},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@inproceedings{Farina23,
title = {Modeling a historical lowland irrigation channel network in northern Italy},
author = {G. Farina and M. Pilotti and L. Milanesi},
doi = {10.3850/978-90-833476-1-5_iahr40wc-p0437-cd},
year = {2023},
date = {2023-01-01},
booktitle = {Proceedings of the 40th IAHR World Congress (Vienna, 2023)},
pages = {1635–1640},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
@book{Higuera23,
title = {Advances In coastal and ocean engineering: Numerical modeling of water waves in coastal and ocean engineering},
author = {P. Higuera and J. Wang and J. Hu and Z. Yang},
doi = {10.1142/13118},
year = {2023},
date = {2023-01-01},
volume = {13},
pages = {1–189},
publisher = {World Scientific},
keywords = {},
pubstate = {published},
tppubtype = {book}
}
@article{Abedian23,
title = {A fifth-order finite difference well-balanced WENO scheme for a blood flow model in arteries},
author = {Rooholah Abedian and Khaksar-e Oshagh and others},
doi = {10.22055/jamm.2023.44863.2205},
year = {2023},
date = {2023-01-01},
journal = {Journal of Advanced Mathematical Modeling},
volume = {13},
number = {3},
pages = {435–447},
publisher = {Shahid Chamran University of Ahvaz},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@misc{Hew23,
title = {Strongly stable dual-pairing summation by parts finite difference schemes for the vector invariant nonlinear shallow water equations – I: Numerical scheme and validation on the plane},
author = {Justin Kin Jun Hew and Kenneth Duru and Stephen Roberts and Christopher Zoppou and Kieran Ricardo},
doi = {10.48550/ARXIV.2310.12739},
year = {2023},
date = {2023-01-01},
keywords = {},
pubstate = {published},
tppubtype = {misc}
}
@article{Cengizci23,
title = {SUPG formulation augmented with YZ-beta shock-capturing for computing shallow-water equations},
author = {Süleyman Cengizci and Ömür Uğur},
doi = {10.1002/zamm.202200232},
year = {2023},
date = {2023-02-01},
journal = {ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{CaviedesVoullieme23,
title = {SERGHEI (SERGHEI-SWE) v1.0: a performance-portable high-performance parallel-computing shallow-water solver for hydrology and environmental hydraulics},
author = {Daniel Caviedes-Voullième and Mario Morales-Hernández and Matthew R. Norman and Ilhan Özgen-Xian},
doi = {10.5194/gmd-16-977-2023},
year = {2023},
date = {2023-02-01},
journal = {Geoscientific Model Development},
volume = {16},
number = {3},
pages = {977–1008},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@phdthesis{Mihami23,
title = {Development of a phase-resolving computer model for operational nearshore wave assessment},
author = {Fatima-Zahra Mihami},
url = {https://theses.hal.science/tel-04347906},
year = {2023},
date = {2023-02-01},
school = {Université de Pau et des Pays de l'Adour},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@unpublished{ElHassanieh23,
title = {Implicit kinetic schemes for the Saint-Venant system},
author = {Chourouk El Hassanieh and Mathieu Rigal and Jacques Sainte-Marie},
url = {https://hal.science/hal-04048832},
year = {2023},
date = {2023-03-01},
keywords = {},
pubstate = {published},
tppubtype = {unpublished}
}
@inproceedings{Ion23,
title = {Analysis of the effects of curvature on the solutions of Shallow Water equations},
author = {Stelian Ion and Dorin Marinescu and Stefan Gicu Cruceanu},
url = {https://arxiv.org/pdf/2302.06438.pdf},
doi = {10.1109/atee58038.2023.10108117},
year = {2023},
date = {2023-04-28},
urldate = {2023-01-01},
booktitle = {13th International Symposium on Advanced Topics in Electrical Engineering (ATEE)},
pages = {1-6},
publisher = {IEEE},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
@article{Hadiarti23,
title = {The momentum-conserving simulation for shallow water flows in channels with arbitrary cross-sections},
author = {Revi Nurfathhiyah Hadiarti and Sri Redjeki Pudjaprasetya and Putu Veri Swastika},
doi = {10.1016/j.euromechflu.2023.01.001},
year = {2023},
date = {2023-05-01},
journal = {European Journal of Mechanics - B/fluids},
volume = {99},
pages = {74–83},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{MichieliVitturi23,
title = {IMEX_SfloW2D v2: a depth-averaged numerical flow model for volcanic gas-particle flows over complex topographies and water},
author = {Mattia de' Michieli Vitturi and Tomaso Esposti Ongaro and Samantha Engwell},
doi = {10.5194/gmd-2023-80},
year = {2023},
date = {2023-05-01},
urldate = {2023-05-01},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Crompton23,
title = {Hydrologic connectivity and patch-to-hillslope scale relations in dryland ecosystems},
author = {O. Crompton and G. Katul and D. Lapides and S. Thompson},
doi = {10.1029/2022gl101801},
year = {2023},
date = {2023-05-01},
urldate = {2023-05-01},
journal = {Geophysical Research Letters},
volume = {50},
number = {10},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Madden23,
title = {Leveraging Google's tensor processing units for tsunami-risk mitigation planning in the Pacific Northwest and beyond},
author = {Ian Madden and Simone Marras and Jenny Suckale},
doi = {10.5194/gmd-16-3479-2023},
year = {2023},
date = {2023-06-01},
journal = {Geoscientific Model Development},
volume = {16},
number = {12},
pages = {3479–3500},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Dans: Free boundary problems: theory, experiment and applications: book of abstracts VIII All–Russian Conference with foreignparticipant, p. 224, Tomsk State University, Tomsk, Russia, 2023.
@article{Rahou23,
title = {Comparative analysis of numerical solutions of 2D unsteady dambreak waves using FVM and SPH method},
author = {Ibrahim Rahou and Khaled Korichi},
doi = {10.2478/johh-2023-0005},
year = {2023},
date = {2023-09-01},
journal = {Journal of Hydrology and Hydromechanics},
volume = {71},
number = {3},
pages = {305–315},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@phdthesis{Martaud23,
title = {Schémas aux volumes finis avec inégalités d'entropie discrètes pour des systèmes hyperboliques non linéaires},
author = {Ludovic Martaud},
url = {https://hal.science/tel-04278166},
year = {2023},
date = {2023-09-01},
school = {Nantes Université},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@article{Chang23b,
title = {Well-balanced energy-stable residual distribution methods for the shallow water equations with varying bottom topography},
author = {Wei Shyang Chang and Muna Mohammed Bazuhair and Farzad Ismail and Hossain Chizari and Mohammad Hafifi Hafiz Ishak},
doi = {10.1016/j.camwa.2023.08.006},
year = {2023},
date = {2023-10-01},
journal = {Computers & Mathematics with Applications},
volume = {148},
pages = {188–199},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Kumar23,
title = {Effect of polymer additives on dynamics of water level in an open channel},
author = {Manish Kumar and Michael D. Graham},
doi = {10.1016/j.jnnfm.2023.105129},
year = {2023},
date = {2023-11-01},
urldate = {2023-01-01},
journal = {Journal of Non-Newtonian Fluid Mechanics},
volume = {321},
publisher = {arXiv},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Angel24,
title = {Bathymetry reconstruction from experimental data using PDE-constrained optimisation},
author = {J. Angel and J. Behrens and S. Götschel and M. Hollm and D. Ruprecht and R. Seifried},
doi = {10.1016/j.compfluid.2024.106321},
year = {2024},
date = {2024-01-01},
journal = {Computers and Fluids},
volume = {278},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Crompton24,
title = {Resolving the hydrologic signature of water spreader berms in the US Southwest},
author = {O. Crompton and M. Nichols and D. Lapides and H. Xu},
doi = {10.2489/jswc.2024.00086},
year = {2024},
date = {2024-01-01},
journal = {Journal of Soil and Water Conservation},
volume = {79},
number = {3},
pages = {155–165},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Qi24,
title = {Physics-informed neural networks for solving flow problems modeled by the 2D Shallow Water Equations without labeled data},
author = {X. Qi and G. A. M. Almeida and S. Maldonado},
doi = {10.1016/j.jhydrol.2024.131263},
year = {2024},
date = {2024-01-01},
journal = {Journal of Hydrology},
volume = {636},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Rak24,
title = {Accelerating flash flood simulations: An efficient GPU implementation for a slim shallow water solver},
author = {A. Rak and P. Mewis and S. Guthe},
doi = {10.1016/j.envsoft.2024.106030},
year = {2024},
date = {2024-01-01},
journal = {Environmental Modelling and Software},
volume = {177},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@misc{Guermond24,
title = {A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations},
author = {Jean-Luc Guermond and Matthias Maier and Eric Tovar},
doi = {10.48550/ARXIV.2403.17123},
year = {2024},
date = {2024-01-01},
keywords = {},
pubstate = {published},
tppubtype = {misc}
}
@incollection{Cheviakov24,
title = {Shallow water models and their analytical properties},
author = {Alexei Cheviakov and Peng Zhao},
doi = {10.1007/978-3-031-53074-6_3},
year = {2024},
date = {2024-01-01},
booktitle = {Analytical Properties of Nonlinear Partial Differential Equations: with Applications to Shallow Water Models},
pages = {79–267},
publisher = {Springer},
keywords = {},
pubstate = {published},
tppubtype = {incollection}
}
@phdthesis{Micalizzi24a,
title = {Efficient Iterative Arbitrary High Order Methods: Adaptivity and Structure Preservation},
author = {Lorenzo Micalizzi},
doi = {10.5167/uzh-258683},
year = {2024},
date = {2024-01-01},
school = {University of Zurich},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@misc{Ciallella24,
title = {A high-order, fully well-balanced, unconditionally positivity-preserving finite volume framework for flood simulations},
author = {Mirco Ciallella and Lorenzo Micalizzi and Victor Michel-Dansac and Philipp Öffner and Davide Torlo},
doi = {10.48550/ARXIV.2402.12248},
year = {2024},
date = {2024-01-01},
keywords = {},
pubstate = {published},
tppubtype = {misc}
}
@phdthesis{Prescott24,
title = {Novel Numerical Methods and Future Projections in Debris-Flow Hazard Assessments, Overland Flow Routing, and Global Suspended Sediment Fluxes},
author = {Alexander B. Prescott},
url = {https://repository.arizona.edu/handle/10150/672678},
year = {2024},
date = {2024-01-01},
publisher = {The University of Arizona.},
address = {The University of Arizona},
school = {Department of Geosciences},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
@article{Bhat24,
title = {Layered shallow water equations: Spatiotemporally varying layer ratios with specific adaptation to wet/dry interfaces},
author = {Naveed Ul Hassan Bhat and Gourabananda Pahar},
doi = {10.1002/fld.5249},
year = {2024},
date = {2024-04-01},
journal = {International Journal for Numerical Methods in Fluids},
volume = {96},
number = {4},
pages = {397–434},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@article{Varra24,
title = {A novel efficient and robust treatment of the friction source term in 2D shallow water inundation models},
author = {Giada Varra and Veronica Pepe and Renata Della Morte and Luca Cozzolino},
doi = {10.1016/j.jhydrol.2024.131045},
year = {2024},
date = {2024-05-01},
journal = {Journal of Hydrology},
volume = {634},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
@misc{Dawson24,
title = {SWEMniCS - a software toolbox for modeling coastal ocean circulation, storm surges, inland, and compound flooding},
author = {Clint Dawson and Mark Loveland and Benjamin Pachev and Eirik Valseth and Jennifer Proft},
doi = {10.21203/rs.3.rs-4432763/v1},
year = {2024},
date = {2024-05-01},
keywords = {},
pubstate = {published},
tppubtype = {misc}
}
