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).
Modeling Phase Separation in Grain‐Fluid Mixture Flows by a Depth‐Averaged Approach With Dilatancy Effects
Weihang Sun and Yongqi Wang Journal of Geophysical Research: Earth Surface 129(12) (2024) https://doi.org/10.1029/2023JF007416
Andrea Gilberto Filippini, Luca Arpaia, Vincent Perrier, Rodrigo Pedreros, Philippe Bonneton, David Lannes, Fabien Marche, Sebastien De Brye, Simon Delmas, Sophie Lecacheux, Faiza Boulahya and Mario Ricchiuto (2024) https://doi.org/10.2139/ssrn.4808242
An operational discontinuous Galerkin shallow water model for coastal flood assessment
A.G. Filippini, L. Arpaia, V. Perrier, R. Pedreros, P. Bonneton, D. Lannes, F. Marche, S. De Brye, S. Delmas, S. Lecacheux, F. Boulahya and M. Ricchiuto Ocean Modelling 192 102447 (2024) https://doi.org/10.1016/j.ocemod.2024.102447
Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws
A well‐balanced positivity‐preserving central‐upwind scheme for one‐dimensional blood flow models
Gerardo Hernandez‐Duenas and Guillermo Ramirez‐Santiago International Journal for Numerical Methods in Fluids 93(2) 369 (2021) https://doi.org/10.1002/fld.4887
High-Order Accurate Flux-Splitting Scheme for Conservation Laws with Discontinuous Flux Function in Space
Numerical Approximation of Hyperbolic Systems of Conservation Laws
Edwige Godlewski and Pierre-Arnaud Raviart Applied Mathematical Sciences, Numerical Approximation of Hyperbolic Systems of Conservation Laws 118 627 (2021) https://doi.org/10.1007/978-1-0716-1344-3_7
Moving-Water Equilibria Preserving Partial Relaxation Scheme for the Saint-Venant System
Xin Liu, Xi Chen, Shi Jin, Alexander Kurganov, Tong Wu and Hui Yu SIAM Journal on Scientific Computing 42(4) A2206 (2020) https://doi.org/10.1137/19M1258098
An effect non-staggered central scheme based on new hydrostatic reconstruction
Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes
Alina Chertock, Shumo Cui, Alexander Kurganov, Şeyma Nur Özcan and Eitan Tadmor Journal of Computational Physics 358 36 (2018) https://doi.org/10.1016/j.jcp.2017.12.026
High order well-balanced discontinuous Galerkin methods based on hydrostatic reconstruction for shallow water equations
The space–time CESE scheme for shallow water equations incorporating variable bottom topography and horizontal temperature gradients
M. Rehan Saleem, Saqib Zia, Waqas Ashraf, Ishtiaq Ali and Shamsul Qamar Computers & Mathematics with Applications 75(3) 933 (2018) https://doi.org/10.1016/j.camwa.2017.10.021
Well-balanced schemes for the shallow water equations with Coriolis forces
Alina Chertock, Michael Dudzinski, Alexander Kurganov and Mária Lukáčová-Medvid’ová Numerische Mathematik 138(4) 939 (2018) https://doi.org/10.1007/s00211-017-0928-0
A high‐order PIC method for advection‐dominated flow with application to shallow water waves
Theory, Numerics and Applications of Hyperbolic Problems I
Alina Chertock, Michael Herty and Şeyma Nur Özcan Springer Proceedings in Mathematics & Statistics, Theory, Numerics and Applications of Hyperbolic Problems I 236 345 (2018) https://doi.org/10.1007/978-3-319-91545-6_28
A well-balanced scheme for the shallow-water equations with topography or Manning friction
Handbook of Numerical Methods for Hyperbolic Problems - Applied and Modern Issues
Y. Xing Handbook of Numerical Analysis, Handbook of Numerical Methods for Hyperbolic Problems - Applied and Modern Issues 18 361 (2017) https://doi.org/10.1016/bs.hna.2016.09.003
A Hybrid Method to Solve Shallow Water Flows with Horizontal Density Gradients
A shallow water with variable pressure model for blood flow simulation
Pierre-Yves Lagrée, José-Maria Fullana, Arthur R. Ghigo and Olivier Delestre Networks and Heterogeneous Media 11(1) 69 (2016) https://doi.org/10.3934/nhm.2016.11.69
Time asymptotic high order schemes for dissipative BGK hyperbolic systems
Fully well-balanced, positive and simple approximate Riemann solver for shallow water equations
C. Berthon, C. Chalons, S. Cornet and G. Sperone Bulletin of the Brazilian Mathematical Society, New Series 47(1) 117 (2016) https://doi.org/10.1007/s00574-016-0126-1
Entropy stability and well-balancedness of space-time DG for the shallow water equations with bottom topography
Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws
Yunlong Chen, Alexander Kurganov, Minlan Lei and Yu Liu Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws 120 125 (2013) https://doi.org/10.1007/978-3-642-33221-0_8
Computing Qualitatively Correct Approximations of Balance Laws
A Well-Balanced Reconstruction of Wet/Dry Fronts for the Shallow Water Equations
Andreas Bollermann, Guoxian Chen, Alexander Kurganov and Sebastian Noelle Journal of Scientific Computing 56(2) 267 (2013) https://doi.org/10.1007/s10915-012-9677-5
A ‘well‐balanced’ finite volume scheme for blood flow simulation
O. Delestre and P.‐Y. Lagrée International Journal for Numerical Methods in Fluids 72(2) 177 (2013) https://doi.org/10.1002/fld.3736
A well‐balanced stable generalized Riemann problem scheme for shallow water equations using adaptive moving unstructured triangular meshes
Feng Zhou, Guoxian Chen, Sebastian Noelle and Huaicheng Guo International Journal for Numerical Methods in Fluids 73(3) 266 (2013) https://doi.org/10.1002/fld.3800
The generalized Riemann problems for compressible fluid flows: Towards high order
Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system
Steve Bryson, Yekaterina Epshteyn, Alexander Kurganov and Guergana Petrova ESAIM: Mathematical Modelling and Numerical Analysis 45(3) 423 (2011) https://doi.org/10.1051/m2an/2010060
Asymptotic preserving HLL schemes
Christophe Berthon and Rodolphe Turpault Numerical Methods for Partial Differential Equations 27(6) 1396 (2011) https://doi.org/10.1002/num.20586
Finite Volumes for Complex Applications VI Problems & Perspectives
Christophe Berthon and Françoise Foucher Springer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 97 (2011) https://doi.org/10.1007/978-3-642-20671-9_11
A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows
Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances
François Bouchut Edited Series on Advances in Nonlinear Science and Complexity, Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances 2 189 (2007) https://doi.org/10.1016/S1574-6909(06)02004-1
Well-balanced finite volume evolution Galerkin methods for the shallow water equations
Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
Sebastian Noelle, Normann Pankratz, Gabriella Puppo and Jostein R. Natvig Journal of Computational Physics 213(2) 474 (2006) https://doi.org/10.1016/j.jcp.2005.08.019
A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations