A flux globalization based well-balanced path-conservative central-upwind scheme for the shallow water flows in channels

Type: Article

Publication Date: 2023-01-28

Citations: 4

DOI: https://doi.org/10.1051/m2an/2023009

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Locations

  • ESAIM. Mathematical modelling and numerical analysis - View
  • Springer Link (Chiba Institute of Technology) - View - PDF

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+ Well‐balanced positivity preserving central‐upwind scheme for the shallow water system with friction terms 2015 Alina Chertock
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+ Path-Conservative Numerical Schemes for Nonconservative Hyperbolic Systems 2008 Carlos Parés
+ On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas 2007 José M. Gallardo
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+ High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws 1984 P. K. Sweby
+ PDF Chat A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime 2011 Philippe G. LeFloch
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+ PDF Chat A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows 2010 François Bouchut
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+ PDF Chat Non-oscillatory central differencing for hyperbolic conservation laws 1990 Haim Nessyahu
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+ Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations 2001 Alexander Kurganov
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+ PDF Chat A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System 2007 Alexander Kurganov
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+ GRAPH SOLUTIONS OF NONLINEAR HYPERBOLIC SYSTEMS 2004 Philippe G. LeFloch
+ Shallow Water Flows in Channels 2010 Gerardo Hernández-Dueñas
Smadar Karni
+ PDF Chat An explicit residual based approach for shallow water flows 2014 Mario Ricchiuto
+ A finite volume solver for 1D shallow‐water equations applied to an actual river 2001 N. Gouta
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+ A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows 2004 Emmanuel Audusse
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+ New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection–Diffusion Equations 2000 Alexander Kurganov
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+ Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws 2004 François Bouchut
+ Well-Balanced Schemes and Path-Conservative Numerical Methods 2016 Manuel J. Castro
T. Morales de Luna
Carlos Parés
+ PDF Chat Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes 2018 Alina Chertock
Shumo Cui
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+ PDF Chat Finite-volume schemes for shallow-water equations 2018 Alexander Kurganov
+ Well-Balanced Central-Upwind Schemes for $$2\,\times \,2$$ Systems of Balance Laws 2018 Alina Chertock
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