Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

A faster numerical scheme for a coupled system modeling soil erosion and sediment transport

M.-H. Le, S. Cordier, C. Lucas and O. Cerdan
Water Resources Research 51 (2) 987 (2015)
DOI: 10.1002/2014WR015690
See this article

On a hybrid finite-volume-particle method

Alina Chertock and Alexander Kurganov
ESAIM: Mathematical Modelling and Numerical Analysis 38 (6) 1071 (2004)
DOI: 10.1051/m2an:2004051
See this article

A well-balanced weighted essentially non-oscillatory scheme for pollutant transport in shallow water

Gang Li, Jinmei Gao and Qiuhua Liang
International Journal for Numerical Methods in Fluids 71 (12) 1566 (2013)
DOI: 10.1002/fld.3726
See this article

A kinetic interpretation of the section-averaged Saint-Venant system for natural river hydraulics

N. Goutal and J. Sainte-Marie
International Journal for Numerical Methods in Fluids 67 (7) 914 (2011)
DOI: 10.1002/fld.2401
See this article

Numerical simulation of pollutant transport in a shallow-water system on the Cell heterogeneous processor

Carlos H. González, Basilio B. Fraguela, Diego Andrade, José A. García and Manuel J. Castro
The Journal of Supercomputing 65 (3) 1089 (2013)
DOI: 10.1007/s11227-012-0862-y
See this article

Handbook of Differential Equations - Evolutionary Equations

Didier Bresch
Handbook of Differential Equations: Evolutionary Equations, Handbook of Differential Equations - Evolutionary Equations 5 1 (2009)
DOI: 10.1016/S1874-5717(08)00208-9
See this article

Pointwise control and hybrid scheme for water quality equation

Mohammed Louaked and Abdelkader Saïdi
Nonlinear Analysis: Theory, Methods & Applications 71 (12) e2337 (2009)
DOI: 10.1016/
See this article

Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water

Alina Chertock, Alexander Kurganov and Guergana Petrova
Journal of Scientific Computing 27 (1-3) 189 (2006)
DOI: 10.1007/s10915-005-9060-x
See this article

Handbook of Differential Equations: Evolutionary Equations

Alexis F. Vasseur
Handbook of Differential Equations: Evolutionary Equations 4 323 (2008)
DOI: 10.1016/S1874-5717(08)00007-8
See this article

An application of optimal control theory to river pollution remediation

L.J. Alvarez-Vázquez, A. Martínez, M.E. Vázquez-Méndez and M.A. Vilar
Applied Numerical Mathematics 59 (5) 845 (2009)
DOI: 10.1016/j.apnum.2008.03.027
See this article

A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation

Emmanuel Audusse, Marie-Odile Bristeau, Benoît Perthame and Jacques Sainte-Marie
ESAIM: Mathematical Modelling and Numerical Analysis 45 (1) 169 (2011)
DOI: 10.1051/m2an/2010036
See this article

Approximation of the hydrostatic Navier–Stokes system for density stratified flows by a multilayer model: Kinetic interpretation and numerical solution

E. Audusse, M.-O. Bristeau, M. Pelanti and J. Sainte-Marie
Journal of Computational Physics 230 (9) 3453 (2011)
DOI: 10.1016/
See this article

Unstructured finite volume discretisation of bed friction and convective flux in solute transport models linked to the shallow water equations

L. Cea and M.E. Vázquez-Cendón
Journal of Computational Physics 231 (8) 3317 (2012)
DOI: 10.1016/
See this article

A multi-GPU shallow-water simulation with transport of contaminants

M. Viñas, J. Lobeiras, B.B. Fraguela, et al.
Concurrency and Computation: Practice and Experience 25 (8) 1153 (2013)
DOI: 10.1002/cpe.2917
See this article

On the well-balanced numerical discretization of shallow water equations on unstructured meshes

A. Duran, Q. Liang and F. Marche
Journal of Computational Physics 235 565 (2013)
DOI: 10.1016/
See this article

Regularization method for numerical modelling of a transport of pollutant in shallow water

Tatiana Gennadyevna Elizarova and Aleksandr Vladimirovich Ivanov
Keldysh Institute Preprints (27) 1 (2019)
DOI: 10.20948/prepr-2019-27
See this article

Finite volume schemes and residual distribution schemes for pollutant transport on unstructured grids

Sara Pavan, Riadh Ata and Jean-Michel Hervouet
Environmental Earth Sciences 74 (11) 7337 (2015)
DOI: 10.1007/s12665-015-4760-5
See this article

The Linearized 2D Inviscid Shallow Water Equations in a Rectangle: Boundary Conditions and Well-Posedness

Aimin Huang and Roger Temam
Archive for Rational Mechanics and Analysis 211 (3) 1027 (2014)
DOI: 10.1007/s00205-013-0702-0
See this article

SPH Simulations of Solute Transport in Flows with Steep Velocity and Concentration Gradients

Yu-Sheng Chang and Tsang-Jung Chang
Water 9 (2) 132 (2017)
DOI: 10.3390/w9020132
See this article

A well-balanced positivity preserving “second-order” scheme for shallow water flows on unstructured meshes

Emmanuel Audusse and Marie-Odile Bristeau
Journal of Computational Physics 206 (1) 311 (2005)
DOI: 10.1016/
See this article

Flooding and Drying in Discontinuous Galerkin Finite-Element Discretizations of Shallow-Water Equations. Part 1: One Dimension

Onno Bokhove
Journal of Scientific Computing 22-23 (1-3) 47 (2005)
DOI: 10.1007/s10915-004-4136-6
See this article

Transport of pollutant in shallow flows: A space–time CE/SE scheme

Omar Rabbani, Munshoor Ahmed and Saqib Zia
Computers & Mathematics with Applications 77 (12) 3195 (2019)
DOI: 10.1016/j.camwa.2019.02.010
See this article

Pollutant transport by shallow water equations on unstructured meshes: Hyperbolization of the model and numerical solution via a novel flux splitting scheme

Davide Vanzo, Annunziato Siviglia and Eleuterio F. Toro
Journal of Computational Physics 321 1 (2016)
DOI: 10.1016/
See this article

Hyperbolic Problems: Theory, Numerics, Applications

A. Chertock, E. Kashdan and A. Kurganov
Hyperbolic Problems: Theory, Numerics, Applications 371 (2008)
DOI: 10.1007/978-3-540-75712-2_33
See this article

A simple and efficient unstructured finite volume scheme for solving the shallow water equations in overland flow applications

L. Cea and E. Bladé
Water Resources Research 51 (7) 5464 (2015)
DOI: 10.1002/2014WR016547
See this article

IberWQ: new simulation tool for 2D water quality modelling in rivers and shallow estuaries

R. Ahmadian, B. Bockelmann-Evans, A. Conde, et al.
Journal of Hydroinformatics 18 (5) 816 (2016)
DOI: 10.2166/hydro.2016.235
See this article

Level-set methods applied to the kinematic wave equation governing surface water flows

Sovanna Mean, Koichi Unami and Masayuki Fujihara
Journal of Environmental Management 269 110784 (2020)
DOI: 10.1016/j.jenvman.2020.110784
See this article