Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations

Authors:
Richard Liska;Burton Wendroff
Affiliations:
-;-
Venue:
SIAM Journal on Scientific Computing
Year:
2003

Citing 0
Cited 18

Stable and accurate hybrid finite volume methods based on pure convexity arguments for hyperbolic systems of conservation law

Journal of Computational Physics
A quantitative comparison of numerical methods for the compressible Euler equations: fifth-order WENO and piecewise-linear Godunov

Journal of Computational Physics
An unsplit Godunov method for ideal MHD via constrained transport

Journal of Computational Physics
Explicit solutions to a convection-reaction equation and defects of numerical schemes

Journal of Computational Physics
A relaxation-projection method for compressible flows. Part I: The numerical equation of state for the Euler equations

Journal of Computational Physics
A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics

Journal of Computational Physics
An improved reconstruction method for compressible flows with low Mach number features

Journal of Computational Physics
New non-oscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws

Journal of Computational Physics
Finite Difference Method for Two-Dimensional Equations of Gas Dynamics Using Artificial Viscosity

Numerical Analysis and Its Applications
Compact third-order limiter functions for finite volume methods

Journal of Computational Physics
Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves

Journal of Computational Physics
A high-order finite volume method for systems of conservation laws-Multi-dimensional Optimal Order Detection (MOOD)

Journal of Computational Physics
From Suitable Weak Solutions to Entropy Viscosity

Journal of Scientific Computing
McrEngine: a scalable checkpointing system using data-aware aggregation and compression

SC '12 Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis
A space-time smooth artificial viscosity method for nonlinear conservation laws

Journal of Computational Physics
A low Mach number solver: Enhancing applicability

Journal of Computational Physics
A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics

Journal of Computational Physics
McrEngine: A scalable checkpointing system using data-aware aggregation and compression

Scientific Programming - Selected Papers from Super Computing 2012

Quantified Score

Hi-index	0.07

Visualization

Abstract

The results of computations with eight explicit finite difference schemes on a suite of one-dimensional and two-dimensional test problems for the Euler equations are presented in various formats. Both dimensionally split and two-dimensional schemes are represented, as are central and upwind-biased methods, and all are at least second-order accurate.