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:

Hyperbolicity of a semi-Lagrangian formulation of the hydrostatic free-surface Euler system

Bernard Di Martino, Chourouk El Hassanieh, Edwige Godlewski, Julien Guillod and Jacques Sainte-Marie
Nonlinearity 38 (1) 015018 (2025)
https://doi.org/10.1088/1361-6544/ad9b65

A scalable well-balanced Taylor-Galerkin scheme for a lava flow depth-integrated model with point source vents

Federico Gatti, Carlo de Falco, Marco Fois and Luca Formaggia
Computers & Mathematics with Applications 184 153 (2025)
https://doi.org/10.1016/j.camwa.2025.02.014

Численное моделирование извержения вулкана Этна с применением усредненной по глубине модели потока лавы

Александр Илларионович Короткий and Игорь Анатольевич Цепелев
Computational Continuum Mechanics 17 (3) 362 (2024)
https://doi.org/10.7242/1999-6691/2024.17.3.30

A Shallow-water Model Exploration of Atmospheric Circulation on Sub-Neptunes: Effects of Radiative Forcing and Rotation Period

Ekaterina Landgren, Alice Nadeau, Nikole Lewis, Tiffany Kataria and Peter Hitchcock
The Planetary Science Journal 4 (6) 106 (2023)
https://doi.org/10.3847/PSJ/acd551

POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations

Maria Strazzullo, Francesco Ballarin and Gianluigi Rozza
Journal of Numerical Mathematics 30 (1) 63 (2022)
https://doi.org/10.1515/jnma-2020-0098

Asymptotic analysis of a thin fluid layer flow between two moving surfaces

J.M. Rodríguez and R. Taboada-Vázquez
Journal of Mathematical Analysis and Applications 507 (1) 125735 (2022)
https://doi.org/10.1016/j.jmaa.2021.125735

Viscoelastic flows of Maxwell fluids with conservation laws

Sébastien Boyaval
ESAIM: Mathematical Modelling and Numerical Analysis 55 (3) 807 (2021)
https://doi.org/10.1051/m2an/2020076

Numerical Simulations of a Dispersive Model Approximating Free-Surface Euler Equations

Cipriano Escalante Sánchez, Enrique D. Fernández-Nieto, Tomás Morales de Luna, Yohan Penel and Jacques Sainte-Marie
Journal of Scientific Computing 89 (3) (2021)
https://doi.org/10.1007/s10915-021-01552-6

Extensibility and Composability of a Multi-Stencil Domain Specific Framework

Hélène Coullon, Julien Bigot and Christian Perez
International Journal of Parallel Programming 47 (5-6) 1046 (2019)
https://doi.org/10.1007/s10766-017-0539-5

The SIPSim implicit parallelism model and the SkelGIS library

Hélène Coullon and Sébastien Limet
Concurrency and Computation: Practice and Experience 28 (7) 2120 (2016)
https://doi.org/10.1002/cpe.3494

A new derivation of the shallow water equations in geographical coordinates and their application to the global barotropic ocean model (the DEBOT model)

David Einšpigel and Zdeněk Martinec
Ocean Modelling 92 85 (2015)
https://doi.org/10.1016/j.ocemod.2015.05.006

An energy-consistent depth-averaged Euler system: Derivation and properties

Nicolas Seguin, Jacques Sainte-Marie, Anne Mangeney and Marie-Odile Bristeau
Discrete and Continuous Dynamical Systems - Series B 20 (4) 961 (2015)
https://doi.org/10.3934/dcdsb.2015.20.961

Advances in Numerical Simulation in Physics and Engineering

Enrique D. Fernández-Nieto and Paul Vigneaux
SEMA SIMAI Springer Series, Advances in Numerical Simulation in Physics and Engineering 3 51 (2014)
https://doi.org/10.1007/978-3-319-02839-2_2

Formal derivation of a bilayer model coupling shallow water and Reynolds lubrication equations: evolution of a thin pollutant layer over water

E. D. FERNÁNDEZ-NIETO, G. NARBONA-REINA and J. D. ZABSONRÉ
European Journal of Applied Mathematics 24 (6) 803 (2013)
https://doi.org/10.1017/S095679251300020X

A coupled surface/subsurface flow model accounting for air entrapment and air pressure counterflow

Jens-Olaf Delfs, Wenqing Wang, Thomas Kalbacher, Ashok Kumar Singh and Olaf Kolditz
Environmental Earth Sciences 69 (2) 395 (2013)
https://doi.org/10.1007/s12665-013-2420-1

Parallelization of Shallow-water Equations with the Algorithmic Skeleton Library SkelGIS

Coullon Hélène, Le Minh-Hoang and Limet Sébastien
Procedia Computer Science 18 591 (2013)
https://doi.org/10.1016/j.procs.2013.05.223

Derivation of a new asymptotic viscous shallow water model with dependence on depth

J.M. Rodríguez and R. Taboada-Vázquez
Applied Mathematics and Computation 219 (7) 3292 (2012)
https://doi.org/10.1016/j.amc.2011.08.053

A Shallow Water model for the numerical simulation of overland flow on surfaces with ridges and furrows

Ulrich Razafison, Stéphane Cordier, Olivier Delestre, et al.
European Journal of Mechanics - B/Fluids 31 44 (2012)
https://doi.org/10.1016/j.euromechflu.2011.07.002

Coupling hydrogeological with surface runoff model in a Poltva case study in Western Ukraine

Jens-Olaf Delfs, Frank Blumensaat, Wenqing Wang, Peter Krebs and Olaf Kolditz
Environmental Earth Sciences 65 (5) 1439 (2012)
https://doi.org/10.1007/s12665-011-1285-4

Thermo-Hydro-Mechanical-Chemical Processes in Porous Media

Jens-Olaf Delfs, Martin Beinhorn and Yajie Wu
Lecture Notes in Computational Science and Engineering, Thermo-Hydro-Mechanical-Chemical Processes in Porous Media 86 143 (2012)
https://doi.org/10.1007/978-3-642-27177-9_7

Anisotropic mesh adaptation driven by a recovery‐based error estimator for shallow water flow modeling

G. M. Porta, S. Perotto and F. Ballio
International Journal for Numerical Methods in Fluids 70 (3) 269 (2012)
https://doi.org/10.1002/fld.2688

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)
https://doi.org/10.1002/fld.2401

VERTICALLY AVERAGED MODELS FOR THE FREE SURFACE NON-HYDROSTATIC EULER SYSTEM: DERIVATION AND KINETIC INTERPRETATION

JACQUES SAINTE-MARIE
Mathematical Models and Methods in Applied Sciences 21 (03) 459 (2011)
https://doi.org/10.1142/S0218202511005118

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)
https://doi.org/10.1051/m2an/2010036

Existence of a global weak solution for a 2D viscous bi-layer Shallow Water model

Jean De Dieu Zabsonré and Gladys Narbona-Reina
Nonlinear Analysis: Real World Applications 10 (5) 2971 (2009)
https://doi.org/10.1016/j.nonrwa.2008.09.004

ASYMPTOTIC DERIVATION OF THE SECTION-AVERAGED SHALLOW WATER EQUATIONS FOR NATURAL RIVER HYDRAULICS

ASTRID DECOENE, LUCA BONAVENTURA, EDIE MIGLIO and FAUSTO SALERI
Mathematical Models and Methods in Applied Sciences 19 (03) 387 (2009)
https://doi.org/10.1142/S0218202509003474

Numerical simulations of 3D free surface flows by a multilayer Saint‐Venant model

E. Audusse, M. O. Bristeau and A. Decoene
International Journal for Numerical Methods in Fluids 56 (3) 331 (2008)
https://doi.org/10.1002/fld.1534

Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects

Fabien Marche
European Journal of Mechanics - B/Fluids 26 (1) 49 (2007)
https://doi.org/10.1016/j.euromechflu.2006.04.007

Finite-Volume Solvers for a Multilayer Saint-Venant System

Emmanuel Audusse and Marie-Odile Bristeau
International Journal of Applied Mathematics and Computer Science 17 (3) 311 (2007)
https://doi.org/10.2478/v10006-007-0025-0

Numerical simulation of lava flows based on depth‐averaged equations

Antonio Costa and Giovanni Macedonio
Geophysical Research Letters 32 (5) (2005)
https://doi.org/10.1029/2004GL021817

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)
https://doi.org/10.1016/j.jcp.2004.12.016