An approximate two-dimensional Riemann solver for hyperbolic systems of conservation laws-Reference-Cited by-同舟云学术

An approximate two-dimensional Riemann solver for hyperbolic systems of conservation laws

Published:2005-05 Issue:1 Volume:205 Page:292-314
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Guinot Vincent

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference27 articles.

1. An unsplit, higher order Godunov method for scalar conservation laws in multiple dimensions;Bell;J. Comput. Phys.,1988

2. Upwind methods for hyperbolic conservation laws with source terms;Bermudez;Comp. Fluid,1994

3. Two-dimensional Riemann solver for Euler equations of gas dynamics;Brio;J. Comput. Phys.,2001

4. Multidimensional upwind methods for hyperbolic conservation laws;Colella;J. Comput. Phys.,1990

5. The method of fractional steps for conservation laws;Crandall;Numer. Math.,1980

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Hydraulic jump and Bernoulli equation in nonlinear shallow water model;Dynamics of Atmospheres and Oceans;2018-06

2. A robust and contact resolving Riemann solver on unstructured mesh, Part I, Euler method;Journal of Computational Physics;2014-07

3. Quasi-two-layer finite-volume scheme for modelling shallow water flows over an arbitrary bed in the presence of external force. II. Algorithm applications and numerical results;Russian Journal of Numerical Analysis and Mathematical Modelling;2014-01-01

4. A Two-Dimensional Version of the Godunov Scheme for Scalar Balance Laws;SIAM Journal on Numerical Analysis;2014-01

5. Quasi-two-layer finite-volume scheme for modelling shallow water flows over an arbitrary bed in the presence of external force. I. Algorithm development and validation;Russian Journal of Numerical Analysis and Mathematical Modelling;2014-01