Balancing Source Terms and Flux Gradients in High-Resolution Godunov Methods: The Quasi-Steady Wave-Propagation Algorithm (1998)

by Randall J. Leveque
Venue:J. Comput. Phys
Citations:56 - 5 self

Documents Related by Co-Citation

66 A well balanced scheme for the numerical processing of source terms in hyperbolic equations – J M Greenberg, A Y Le Roux - 1996
77 Non Linear Stability of Finite Volume Methods for Hyperbolic Conservation – F Bouchut - 2004
21 Upwind differencing schemes for hyperbolic conservation laws with source terms, in ``Nonlinear hyperbolic problems – P L ROE - 1987
191 Numerical Approximation of Hyperbolic Systems of Conservation – E Godlewski, P Raviart - 1996
66 Wave Propagation Algorithms for Multidimensional Hyperbolic Systems – Randall J. LeVeque - 1997
29 A wave-propagation method for conservation laws and balance laws with spatially varying flux functions – Derek S. Bale, Randall J. Leveque, Sorin Mitran, James A. Rossmanith - 2002
330 Finite Volume Methods for Hyperbolic Problems – R J LeVeque - 2002
38 Upwind methods for hyperbolic conservation laws with source terms – A Bermudez, M E Vazquez - 1994
44 A kinetic scheme for the Saint-Venant system with a source term – B Perthame, C Simeoni - 2001
31 A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms – L GOSSE
38 Equilibrium schemes for scalar conservation laws with stiff sources – Ramaz Botchorishvili, Benoit Perthame, Alexis Vasseur - 2003
44 A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows – Emmanuel Audusse, François Bouchut, Marie-odile Bristeau, Rupert Klein, Benoît Perthame
23 A steady-state capturing method for hyperbolic system with geometrical source terms – S Jin - 2001
39 Some approximate Godunov schemes to compute shallow-water equatons with topography – Thierry Gallouet, Thierry Gallou€et A, Jean-Marc Herard, Nicolas Seguin - 2003
426 Numerical Methods for Conservation Laws – R J LeVeque - 1990
521 Approximate riemann solvers, parameter vectors and difference schemes – P L Roe - 1981
7 Rankine-Hugoniot-Riemann solver considering source terms and multidimensional effects – P Jenny, B Müller - 1998
23 A Class of Approximate Riemann Solvers and Their Relation to Relaxation Schemes – Randall J. Leveque, Marica Pelanti - 2001
59 Self-adjusting grid methods for one-dimensional hyperbolic conservation laws – A Harten, P Hyman - 1983