On Godunov-type methods for gas dynamics
SIAM Journal on Numerical Analysis
Assessment of Riemann solvers for unsteady one-dimensional inviscid flows for perfect gases
Journal of Computational Physics
On Godunov-type methods near low densities
Journal of Computational Physics
SIAM Journal on Scientific and Statistical Computing
Exact and approximate Riemann solvers for real gases
Journal of Computational Physics
Capturing shock reflections: an improved flux formula
Journal of Computational Physics
Wave propagation algorithms for multidimensional hyperbolic systems
Journal of Computational Physics
A class of approximate Riemann solvers and their relation to relaxation schemes
Journal of Computational Physics
Roe linearization for the van der Waals gas
Journal of Computational Physics
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In this paper modern numerical methods for one-dimensional hyperbolic equations are reviewed. Several results of advanced numerical simulations for complex systems are presented. These results prove that the numerical codes, based on the Godunov-type methods cope very well with all numerically induced problems.