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:39 - 5 self

Active Bibliography

5 Nonlinear Conservation Laws and Finite Volume Methods for Astrophysical Fluid Flow – Randall J. Leveque - 1998
2 Front tracking for scalar balance equations – K. H. Karlsen, N. H. Risebro, J. D. Towers
Numerical Methods for Singular Differential Equations Arising from Steady Flows in Channels and Ducts – A. C. Lemos
22 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
16 A Class of Approximate Riemann Solvers and Their Relation to Relaxation Schemes – Randall J. Leveque, Marica Pelanti - 2001
7 Finite Volume Methods and Adaptive Refinement for Tsunami Propagation and Inundation – David L. George - 2006
17 A Wave Propagation Method for Three Dimensional Hyperbolic Problems – J. O. Langseth, R. J. LeVeque - 1996
1 FLUX-GRADIENT AND SOURCE TERM BALANCING FOR CERTAIN HIGH RESOLUTION SHOCK-CAPTURING SCHEMES By – Rosa Donat, Gloria Haro, Rosa Donat, Gloria Haro - 2006
Flux-gradient and source term balancing for certain high resolution shock-capturing schemes – Vicent Caselles, Rosa Donat, Gloria Haro - 2006
Explicit Finite Volume Schemes of Arbitrary High Order of Accuracy for Hyperbolic Systems with Stiff Source Terms – Michael Dumbser , et al. - 2007
5 High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems – Manuel Castro, José M. Gallardo, Carlos Parés
unknown title – V. Dolejˇsí A, T. Gallouët B
4 On the Computation of Roll Waves – Shi Jin, Yong Jung Kim - 2000
27 Approximate Solutions of Nonlinear Conservation Laws and Related Equations – Eitan Tadmor - 1997
arbitrary bed in the presence – K. V. Karelsky, A. S. Petrosyan, A. G. Slavin
35 Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems – Marsha J. Berger, Randall, J. Leveque - 1998
2 Augmented Riemann solvers for the shallow water equations over variable topography with steady states and inundation – David L. George - 2008
1 Unconditionally Stable Explicit Schemes for the Approximation of Conservation Laws – Christiane Helzel, Gerald Warnecke
Asymptotic based preconditioning technique for low Mach number flows – A. Meister - 2001