SWASHES: Shallow Water Analytic Solutions for Hydraulic and Environmental Studies.
SWASHES es un código de soluciones analiticas para la hidrologia y los estudios ambientales. Un número importante de soluciones analiticas para las ecuaciones de Saint-Venant están descritas adoptando un formalismo común. Cubren una gran variedad de condiciones de flujo (supercrítico, subcrítico, choque…), en 1 o 2 dimensiones de espacio, con o sin lluvia y con o sin fricción a nivel del suelo, para flujos transitorios o estados de equilibrio. La meta de este programa es facilitar la validación de los métodos numéricos empleados en códigos basados en Saint-Venant, proporcionando a los usuarios de aquellos una librería de benchmarks adecuada.
El código SWASHES puede ser descargado en el sitio sourcesup. Está distribuido bajo la licencia librer CeCILL-V2 (compatible con la licencia GPL). Tiene entonces la posibilidad de usarlo sin restricciones respeto al campo de aplicación. Si tiene una pregunta, se puede escribir a: (F. Darboux, O. Delestre, C. Lucas, M. Mancini).
Si está utilizando el gestor de paquetes Conda, el paquete SWASHES está disponible en anaconda.org/lrntct/swashes. Se ejecuta en Linux de 64 bits, Windows de 32 bits y Windows de 64 bits. SWASHES también está disponible como un módulo de python, pyswashes. Este módulo permite obtener la solución analítica elegida en formato csv, dataframe Pandas, array Numpy o grilla ASCII. Consulte pyswashes.readthedocs.io/en/latest/ . El paquete Conda y el módulo python fueron desarrollados por L. Courty.
Citación :fichero bibtex 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
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}
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},
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series = {Springer Hydrogeology},
keywords = {},
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}
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school = {LAMFA},
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tppubtype = {techreport}
}
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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},
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date = {2012-11-01},
address = {Toulouse, France},
school = {Institut National Polytechnique de Toulouse},
keywords = {},
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}
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title = {DassFow-Shallow, variational data assimilation for shallow-water models: Numerical schemes, user and developer guides},
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year = {2013},
date = {2013-01-01},
school = {University of Toulouse, CNRS, IMT, INSA, ANR},
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tppubtype = {techreport}
}
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title = {A highly efficient shallow water model based on a selective lumping algorithm},
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booktitle = {Annual meeting of the Japanese Society of Irrigation, Drainage and Reclamation Engineering},
pages = {398--399},
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}
@phdthesis{Desveaux13,
title = {Contribution à l’approximation numérique des systèmes hyperboliques},
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year = {2013},
date = {2013-01-01},
school = {École doctorale Sciences et technologies de l’information et mathématiques, Université de Nantes},
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}
@article{Zhou13,
title = {An adaptive moving finite volume scheme for modeling flood inundation over dry and complex topography},
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}
@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},
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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},
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pages = {80--94},
publisher = {EDP Sciences},
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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.
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series = {Springer Proceedings in Mathematics and Statistics},
keywords = {},
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}
@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},
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date = {2014-01-01},
journal = {Theoretical and Applied Mechanics Japan},
volume = {62},
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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}
}
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title = {Upwind stabilized finite element modelling of non-hydrostatic wave breaking and run-up},
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school = {INRIA},
keywords = {},
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tppubtype = {techreport}
}
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title = {Efficient GPU-implementation of adaptive mesh refinement for the shallow-water equations},
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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}
}
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title = {An analysis of dam-break flow on slope},
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doi = {10.1016/s1001-6058(14)60099-8},
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}
@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},
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date = {2015-01-01},
journal = {ESAIM: Proceedings and Surveys},
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pages = {385--399},
keywords = {},
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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},
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pages = {8},
address = {The Hague, the Netherlands},
keywords = {},
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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}
}
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title = {A non-hydrostatic model for water waves in nearshore region},
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tppubtype = {article}
}
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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},
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date = {2015-01-01},
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tppubtype = {article}
}
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title = {ANUGA software: Open source hydrodynamic/hydraulic modelling project},
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date = {2015-01-01},
journal = {GitHub},
note = {Australian National University and Geoscience Australia},
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@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},
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title = {A faster numerical scheme for a coupled system modeling soil erosion and sediment transport},
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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.
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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},
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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},
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publisher = {International Center for Numerical Methods in Engineering},
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}
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.
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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},
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title = {Comparison and validation of two parallelization approaches of FullSWOF_2D software on a real case},
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title = {Numerical scheme for a viscous shallow water system including new friction laws of second order: validation and application},
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@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},
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}
@mastersthesis{Schaffroth15,
title = {Simulation of rain-induced floods on high performancecomputers},
author = {Nicolai Schaffroth},
url = {https://www5.in.tum.de/pub/Schaffroth2015_MasterThesis.pdf},
year = {2015},
date = {2015-09-01},
address = {Germany},
school = {Fakultät für InformatikTechnische, Universität München},
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}
@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},
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year = {2015},
date = {2015-10-01},
journal = {Journal of Hydrologic Engineering},
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@misc{Clain15,
title = {The Tagus 1969 tsunami simulation with a finite volume solver and the hydrostatic reconstruction technique},
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@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}
}
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@inproceedings{inproceedings,
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title = {A mass conservative well-balanced reconstruction at wet/dry interfaces for the Godunov-type shallow water model},
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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},
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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},
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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},
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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},
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pages = {1269--1285},
publisher = {Springer Science and Business Media LLC},
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@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}
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@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 = {},
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}
@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},
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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.
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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}
}
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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},
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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}
}
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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 = {},
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@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},
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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},
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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},
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tppubtype = {article}
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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},
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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},
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pages = {1945--1974},
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title = {A new finite volume approach for transport models and related applications with balancing source terms},
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doi = {10.1016/j.matcom.2016.12.012},
year = {2017},
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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.},
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@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}
}
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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},
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publisher = {Wiley},
keywords = {},
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@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}
}
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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 = {},
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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 = {},
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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},
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volume = {161},
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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},
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publisher = {Society for Industrial and Applied Mathematics (SIAM)},
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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 = {},
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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}
}
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title = {A residual-based shock capturing scheme for the continuous/discontinuous spectral element solution of the 2D shallow water equations},
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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},
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@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}
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title = {Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction},
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doi = {10.1016/j.jcp.2018.02.008},
year = {2018},
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journal = {Journal of Computational Physics},
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title = {An efficient high order well-balanced finite difference WENO scheme for the blood flow model},
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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 = {},
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tppubtype = {article}
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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}
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title = {Discrete Boltzmann model of shallow water equations with polynomial equilibria},
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doi = {10.1142/s0129183118500808},
year = {2018},
date = {2018-09-01},
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title = {Comparison between MUSCL and MOOD techniques in a finite volume well-balanced code to solve SWE. The Tohoku-Oki, 2011 example},
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year = {2018},
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title = {Towards a new friction model for shallow water equations through an interactive viscous layer},
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year = {2019},
date = {2019-01-01},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
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title = {Assessment of time integration methods in the numerical solution of two-dimensional shallow water equations},
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doi = {10.22055/jise.2019.25785.1765},
year = {2019},
date = {2019-01-01},
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year = {2019},
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title = {Multi-Scale Approximation of Thin-Layer Flows on Curved Topographies},
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title = {Development of an analytical benchmark solution to assess various gradually varied flow computations},
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title = {An SPH wave-current flume using open boundary conditions},
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title = {A MacCormack method for complete shallow water equations with source terms},
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doi = {10.48550/arXiv.1903.11104},
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title = {A fast second-order shallow water scheme on two-dimensional structured grids over abrupt topography},
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Mario Morales Hernandez; Md Bulbul Sharif; Sudershan Gangrade; Tigstu T. Dullo; Shih-Chieh Kao; Alfred J. Kalyanapu; Sheikh Ghafoor; Katherine J. Evans
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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 = {},
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tppubtype = {inproceedings}
}
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tppubtype = {article}
}
@misc{Nordstroem19,
title = {A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions},
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doi = {10.48550/arXiv.1907.10713},
year = {2019},
date = {2019-07-01},
publisher = {arXiv},
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title = {Timescale interpolation and no-neighbour discretization for a 1D finite-volume Saint-Venant solver},
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doi = {10.1080/00221686.2019.1671510},
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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},
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title = {Modelling of depth-induced wave breaking in a fully nonlinear free-surface potential flow model},
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address = {Sweden},
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title = {A new collision operator for lattice Boltzmann shallow water model: a convergence and stability study},
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title = {Estudo De Um Método De Otimização Para O Posicionamento De Turbinas Hidráulicas Em Um Escoamento Gradualmente Variado},
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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},
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year = {2020},
date = {2020-01-01},
urldate = {2020-01-01},
booktitle = {2020 - TELEMAC-MASCARET Online User Conference},
keywords = {},
pubstate = {published},
tppubtype = {inproceedings}
}
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title = {Numerical approximation of blood flow in arteries using kinetic flux-vector splitting (KFVS) scheme},
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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}
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@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}
}
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title = {Short-term and long-term solutions of two-dimensional shallow water equations using the modified decomposition method},
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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},
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pages = {1929--1949},
publisher = {Springer Science and Business Media LLC},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
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title = {Prototyping a numerical model coupled with remote sensing for tracking harmful algal blooms in shallow lakes},
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year = {2020},
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tppubtype = {article}
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title = {Moving mesh version of wave propagation algorithm based on augmented Riemann solver},
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doi = {10.1016/j.amc.2020.125087},
year = {2020},
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journal = {Applied Mathematics and Computation},
volume = {375},
pages = {125087},
publisher = {Elsevier BV},
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pubstate = {published},
tppubtype = {article}
}
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title = {Evaluation of selected finite-difference and finite-volume approaches to rotational shallow-water flow},
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doi = {10.4208/cicp.oa-2019-0033},
year = {2020},
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publisher = {Global Science Press},
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pubstate = {published},
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title = {Stable algorithm based on Lax-Friedrichs scheme for visual simulation of shallow water},
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doi = {10.24003/emitter.v8i1.479},
year = {2020},
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publisher = {EMITTER International Journal of Engineering Technology},
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}
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title = {Dam-break wave propagation in Alpine valley with HEC-RAS 2D: experimental Cancano test case},
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doi = {10.1061/(asce)hy.1943-7900.0001779},
year = {2020},
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journal = {Journal of Hydraulic Engineering},
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publisher = {American Society of Civil Engineers (ASCE)},
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tppubtype = {article}
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title = {Constructive approach of the solution of Riemann problem for shallow water equations with topography and vegetation},
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doi = {10.2478/auom-2020-0021},
year = {2020},
date = {2020-07-01},
journal = {Analele Universitatii "Ovidius" Constanta - Seria Matematica},
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publisher = {Walter de Gruyter GmbH},
keywords = {},
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tppubtype = {article}
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title = {1-D shallow water equation, with no viscosity and no rotation, for a topography represented by a quadratic function},
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doi = {10.1088/2399-6528/abaa8c},
year = {2020},
date = {2020-08-01},
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publisher = {IOP Publishing},
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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
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title = {What do models tell us about water and sediment connectivity?},
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doi = {10.1016/j.geomorph.2020.107300},
year = {2020},
date = {2020-10-01},
journal = {Geomorphology},
volume = {367},
pages = {107300},
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tppubtype = {article}
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title = {Implementation and assessment of a flux limiter based wetting and drying scheme in NEMO},
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title = {Uncertainty propagation of dam break flow using the stochastic non-intrusive B-splines Bézier elements-based method},
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date = {2020-11-01},
journal = {Journal of Hydrology},
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publisher = {Elsevier BV},
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tppubtype = {article}
}
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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},
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year = {2020},
date = {2020-12-01},
publisher = {arXiv},
keywords = {},
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tppubtype = {misc}
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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}
}
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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},
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year = {2021},
date = {2021-05-01},
journal = {Journal of Scientific Computing},
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publisher = {Springer Science and Business Media LLC},
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tppubtype = {article}
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title = {A very easy high-order well-balanced reconstruction for hyperbolic systems with source terms},
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url = {https://hal.archives-ouvertes.fr/hal-03271103},
year = {2021},
date = {2021-06-01},
keywords = {},
pubstate = {published},
tppubtype = {misc}
}
@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}
}
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title = {A lattice Boltzmann model for the viscous shallow water equations with source terms},
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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}
}
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year = {2021},
date = {2021-07-01},
journal = {European Journal of Mechanics - B/Fluids},
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publisher = {Elsevier BV},
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doi = {10.1016/j.envsoft.2021.105034},
year = {2021},
date = {2021-07-01},
journal = {Environmental Modelling and Software},
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tppubtype = {article}
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year = {2021},
date = {2021-08-01},
urldate = {2021-08-01},
journal = {Journal of Hydrology X},
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pages = {100082},
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pubstate = {published},
tppubtype = {article}
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title = {A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction},
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doi = {10.1016/j.compfluid.2021.105152},
year = {2021},
date = {2021-11-01},
journal = {Computers and Fluids},
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tppubtype = {article}
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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},
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publisher = {Copernicus GmbH},
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tppubtype = {article}
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@article{Karjoun22,
title = {A structure-preserving algorithm for surface water flows with transport processes},
author = {Hasan Karjoun and Abdelaziz Beljadid and Philippe G. LeFloch},
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year = {2022},
date = {2022-01-01},
journal = {Advances in Computational Mathematics},
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tppubtype = {article}
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title = {Digital twin for design and optimization of DC casting lines},
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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{Ciallella22,
title = {Arbitrary high order WENO finite volume scheme with flux globalization for moving equilibria preservation},
author = {Mirco Ciallella and Davide Torlo and Mario Ricchiuto},
doi = {10.48550/ARXIV.2205.13315},
year = {2022},
date = {2022-01-01},
publisher = {arXiv},
keywords = {},
pubstate = {published},
tppubtype = {misc}
}
@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}
}
@misc{Abdedou22,
title = {Reduced-order modeling for stochastic large-scale and time-dependent problems using deep spatial and temporal convolutional autoencoders},
author = {Azzedine Abdedou and Azzeddine Soulaïmani},
doi = {10.48550/ARXIV.2208.03190},
year = {2022},
date = {2022-01-01},
publisher = {arXiv},
keywords = {},
pubstate = {published},
tppubtype = {misc}
}
@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},
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tppubtype = {article}
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@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{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}
}
@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}
}
@misc{Liu23,
title = {Semi-analytical solutions of Shallow Water waves with idealised bottom topographies},
author = {Chang Liu and Antwan D. Clark},
doi = {10.48550/ARXIV.2301.02957},
year = {2023},
date = {2023-01-01},
publisher = {arXiv},
keywords = {},
pubstate = {published},
tppubtype = {misc}
}
@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{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},
doi = {10.48550/ARXIV.2302.06438},
year = {2023},
date = {2023-01-01},
publisher = {arXiv},
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}
}
@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}
}
