@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}

}

@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}

}

@article{Berthon12d,

title = {Efficient well-balanced hydrostatic upwind schemes for shallow-water equations},

author = {Christophe Berthon and Françoise Foucher},

doi = {10.1016/j.jcp.2012.02.031},

year  = {2012},

date = {2012-06-01},

journal = {Journal of Computational Physics},

volume = {231},

number = {15},

pages = {4993--5015},

publisher = {Elsevier BV},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@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}

}

@article{Yoshioka14b,

title = {A finite element/volume method model of the depth-averaged horizontally 2D shallow water equations},

author = {Hidekazu Yoshioka and Koichi Unami and Masayuki Fujihara},

doi = {10.1002/fld.3882},

year  = {2014},

date = {2014-01-01},

journal = {International Journal for Numerical Methods in Fluids},

volume = {75},

number = {1},

pages = {23--41},

publisher = {Wiley},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@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}

}

@article{Rosis14,

title = {A lattice Boltzmann-finite element model for two-dimensional fluid-structure interaction problems involving shallow waters},

author = {Alessandro De Rosis},

doi = {10.1016/j.advwatres.2014.01.003},

year  = {2014},

date = {2014-03-01},

journal = {Advances in Water Resources},

volume = {65},

pages = {18--24},

publisher = {Elsevier BV},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@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}

}

@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}

}

@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{Pongsanguansin15,

title = {Consistent weighted average flux of well-balanced TVD-RK discontinuous Galerkin method for shallow water flows},

author = {Thida Pongsanguansin and Montri Maleewong and Khamron Mekchay},

doi = {10.1155/2015/591282},

year  = {2015},

date = {2015-01-01},

journal = {Modelling and Simulation in Engineering},

volume = {2015},

pages = {1--11},

publisher = {Hindawi Limited},

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}

}

@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}

}

@article{Neupane15,

title = {A discontinuous Galerkin method for modeling flow in networks of channels},

author = {Prapti Neupane and Clint Dawson},

doi = {10.1016/j.advwatres.2015.02.012},

year  = {2015},

date = {2015-05-01},

journal = {Advances in Water Resources},

volume = {79},

pages = {61--79},

publisher = {Elsevier BV},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Minatti15,

title = {A well-balanced FV scheme for compound channels with complex geometry and movable bed},

author = {L. Minatti},

doi = {10.1002/2014wr016584},

year  = {2015},

date = {2015-08-01},

journal = {Water Resources Research},

volume = {51},

number = {8},

pages = {6564--6585},

publisher = {American Geophysical Union (AGU)},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{JafariNodoushan15,

title = {Meshless particle modelling of free surface flow over spillways},

author = {Ehsan Jafari-Nodoushan and Khosrow Hosseini and Ahmad Shakibaeinia and Seyed-Farhad Mousavi},

doi = {10.2166/hydro.2015.096},

year  = {2015},

date = {2015-09-01},

journal = {Journal of Hydroinformatics},

volume = {18},

number = {2},

pages = {354--370},

publisher = {IWA Publishing},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@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}

}

@article{Gunawan15,

title = {Hydrostatic relaxation scheme for the 1D shallow water - Exner equations in bedload transport},

author = {Putu Harry Gunawan and Xavier Lhébrard},

doi = {10.1016/j.compfluid.2015.08.001},

year  = {2015},

date = {2015-10-01},

journal = {Computers and Fluids},

volume = {121},

pages = {44--50},

publisher = {Elsevier BV},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@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}

}

@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{Valiani16,

title = {Free surface axially symmetric flows and radial hydraulic jumps},

author = {Alessandro Valiani and Valerio Caleffi},

doi = {10.1061/(asce)hy.1943-7900.0001104},

year  = {2016},

date = {2016-04-01},

journal = {Journal of Hydraulic Engineering},

volume = {142},

number = {4},

publisher = {American Society of Civil Engineers (ASCE)},

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}

}

@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}

}

@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}

}

@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}

}

@article{Ranocha16,

title = {Shallow water equations: split-form, entropy stable, well-balanced, and positivity preserving numerical methods},

author = {Hendrik Ranocha},

doi = {10.1007/s13137-016-0089-9},

year  = {2016},

date = {2016-12-01},

journal = {GEM - International Journal on Geomathematics},

volume = {8},

number = {1},

pages = {85--133},

publisher = {Springer Science and Business Media LLC},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@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{Clain17,

title = {The MOOD method for the non-conservative shallow-water system},

author = {S. Clain and J. Figueiredo},

doi = {10.1016/j.compfluid.2016.11.013},

year  = {2017},

date = {2017-03-01},

journal = {Computers and Fluids},

volume = {145},

pages = {99--128},

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}

}

@article{MichelDansac17,

title = {A well-balanced scheme for the shallow-water equations with topography or Manning friction},

author = {Victor Michel-Dansac and Christophe Berthon and Stéphane Clain and Françoise Foucher},

doi = {10.1016/j.jcp.2017.01.009},

year  = {2017},

date = {2017-04-01},

journal = {Journal of Computational Physics},

volume = {335},

pages = {115--154},

publisher = {Elsevier BV},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@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{Rosis17,

title = {A central moments-based lattice Boltzmann scheme for shallow water equations},

author = {Alessandro De Rosis},

doi = {10.1016/j.cma.2017.03.001},

year  = {2017},

date = {2017-06-01},

journal = {Computer Methods in Applied Mechanics and Engineering},

volume = {319},

pages = {379--392},

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}

}

@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}

}

@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},

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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},

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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},

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journal = {Water},

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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},

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journal = {Advances in Water Resources},

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title = {A finite area scheme for shallow granular flows on three-dimensional surfaces},

author = {M. Rauter and Ž. Tuković},

doi = {10.1016/j.compfluid.2018.02.017},

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journal = {Computers and Fluids},

volume = {166},

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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},

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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},

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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},

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title = {Numerical simulations of hydraulic jumps with the shear shallow water model},

author = {Argiris I. Delis and Hervé Guillard and Yih-Chin Tai},

doi = {10.5802/smai-jcm.37},

year  = {2018},

date = {2018-10-01},

journal = {The SMAI journal of computational mathematics},

volume = {4},

pages = {319--344},

publisher = {Cellule MathDoc/CEDRAM},

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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},

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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},

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)},

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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},

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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},

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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},

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@article{Abdedou19,

title = {A non-intrusive B-splines Bézier elements-based method for uncertainty propagation},

author = {Azzedine Abdedou and Azzeddine Soulaïmani},

doi = {10.1016/j.cma.2018.10.047},

year  = {2019},

date = {2019-03-01},

journal = {Computer Methods in Applied Mechanics and Engineering},

volume = {345},

pages = {774--804},

publisher = {Elsevier BV},

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tppubtype = {article}

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@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}

}

@article{Hajduk19,

title = {New directional vector limiters for discontinuous Galerkin methods},

author = {Hennes Hajduk and Dmitri Kuzmin and Vadym Aizinger},

doi = {10.1016/j.jcp.2019.01.032},

year  = {2019},

date = {2019-05-01},

journal = {Journal of Computational Physics},

volume = {384},

pages = {308--325},

publisher = {Elsevier BV},

keywords = {},

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tppubtype = {article}

}

@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},

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tppubtype = {article}

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title = {A fast, robust, and simple Lagrangian-Eulerian solver for balance laws and applications},

author = {Eduardo Abreu and John Pérez},

doi = {10.1016/j.camwa.2018.12.019},

year  = {2019},

date = {2019-05-01},

journal = {Computers and Mathematics with Applications},

volume = {77},

number = {9},

pages = {2310--2336},

publisher = {Elsevier BV},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Moussa19,

title = {Evaluating lateral flow in an experimental channel using the diffusive wave inverse problem},

author = {Roger Moussa and Samer Majdalani},

doi = {10.1016/j.advwatres.2019.03.009},

year  = {2019},

date = {2019-05-01},

journal = {Advances in Water Resources},

volume = {127},

pages = {120--133},

publisher = {Elsevier BV},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@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}

}

@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}

}

@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}

}

@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}

}

@article{Maranzoni20,

title = {Galilean-invariant expression for Bernoulli's equation},

author = {Andrea Maranzoni},

doi = {10.1061/(asce)hy.1943-7900.0001680},

year  = {2020},

date = {2020-02-01},

journal = {Journal of Hydraulic Engineering},

volume = {146},

number = {2},

publisher = {American Society of Civil Engineers (ASCE)},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@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{Lavoie20,

title = {Manning's roughness coefficient determination in laboratory experiments using 2D modeling and automatic calibration},

author = {Basile Lavoie and Tew-Fik Mahdi},

doi = {10.1051/lhb/2020001},

year  = {2020},

date = {2020-02-01},

journal = {La Houille Blanche},

volume = {106},

number = {1},

pages = {22--33},

publisher = {Informa UK Limited},

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{Gunawan20,

title = {OpenMP performance in numerical simulation of dambreak problem using shallow water equations},

author = {Putu Harry Gunawan},

doi = {10.24843/lkjiti.2020.v11.i01.p01},

year  = {2020},

date = {2020-04-01},

urldate = {2020-04-01},

journal = {Lontar Komputer: Jurnal Ilmiah Teknologi Informasi},

volume = {11},

number = {1},

pages = {1},

publisher = {Universitas Udayana},

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}

}

@article{Giles20,

title = {Performance analysis of Volna-OP2 - massively parallel code for tsunami modelling},

author = {Daniel Giles and Eugene Kashdan and Dimitra M. Salmanidou and Serge Guillas and Frédéric Dias},

doi = {10.1016/j.compfluid.2020.104649},

year  = {2020},

date = {2020-09-01},

journal = {Computers and Fluids},

volume = {209},

pages = {104649},

publisher = {Elsevier BV},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@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 = {},

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tppubtype = {article}

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@article{Bachini20,

title = {Geometrically intrinsic modeling of shallow water flows},

author = {Elena Bachini and Mario Putti},

doi = {10.1051/m2an/2020031},

year  = {2020},

date = {2020-10-01},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

volume = {54},

number = {6},

pages = {2125--2157},

publisher = {EDP Sciences},

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},

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keywords = {},

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tppubtype = {article}

}

@article{Lundgren20,

title = {An efficient finite difference method for the shallow water equations},

author = {Lukas Lundgren and Ken Mattsson},

doi = {10.1016/j.jcp.2020.109784},

year  = {2020},

date = {2020-12-01},

journal = {Journal of Computational Physics},

volume = {422},

pages = {109784},

publisher = {Elsevier BV},

keywords = {},

pubstate = {published},

tppubtype = {article}

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@article{Ferrolino20,

title = {Application of particle swarm optimization in optimal placement of tsunami sensors},

author = {Angelie Ferrolino and Renier Mendoza and Ikha Magdalena and Jose Ernie Lope},

doi = {10.7717/peerj-cs.333},

year  = {2020},

date = {2020-12-01},

journal = {PeerJ Computer Science},

volume = {6},

pages = {e333},

publisher = {PeerJ},

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tppubtype = {article}

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@article{Sanjoyo,

title = {Shallow Water Models for Efficiently Visualizing Fluid Flow in Complex Topography Areas},

author = {Bandung Arry Sanjoyo and Diana Purwitasari and Mochammad Hariadi and Kikuchi Tsukasa and Mauridhi Hery Purnomo},

url = {https://www.iaeng.org/IJAM/issues_v51/issue_1/IJAM_51_1_04.pdf},

year  = {2021},

date = {2021-01-01},

journal = {IAENG International Journal of Applied Mathematics},

volume = {51},

issue = {1},

pages = {31--40},

keywords = {},

pubstate = {published},

tppubtype = {article}

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@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}

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@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}

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@article{Tai21,

title = {Multi-mesh-scale approximation of thin geophysical mass flows on complex topographies},

author = {Yih-Chin Tai},

doi = {10.4208/cicp.oa-2019-0184},

year  = {2021},

date = {2021-06-01},

journal = {Communications in Computational Physics},

volume = {29},

number = {1},

pages = {148--185},

publisher = {Global Science Press},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Shin21,

title = {P0 time/space subcell limiting DG-DGLM method for hyperbolic systems of conservation laws},

author = {Jaemin Shin and Mi-Young Kim},

doi = {10.1016/j.camwa.2021.04.024},

year  = {2021},

date = {2021-07-01},

journal = {Computers and Mathematics with Applications},

volume = {94},

pages = {114--135},

publisher = {Elsevier BV},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@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{Umbara21,

title = {Simulasi numerik persamaan gelombang air dangkal untuk kasus bendungan Bobol},

author = {Raditya Panji Umbara},

doi = {10.29122/alami.v5i1.4725},

year  = {2021},

date = {2021-07-01},

journal = {Jurnal ALAMI : Jurnal Teknologi Reduksi Risiko Bencana},

volume = {5},

number = {1},

pages = {31--38},

publisher = {Badan Pengkajian dan Penerapan Teknologi (BPPT)},

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}

}