A second-order unsplit Godunov scheme for two- and three-dimensional Euler equations

DOI10.1006/jcph.1997.5693zbMath0888.76050OpenAlexW2027379071MaRDI QIDQ1368639

Wenlong Dai, Paul R. Woodward

Publication date: 11 June 1998

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1997.5693

zbMATH Keywords

Riemann problemsstrong shocksnondirectionally split single-step Eulerian formulationsthin shock fronts

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items

An approximate two-dimensional Riemann solver for hyperbolic systems of conservation laws, A simple finite difference scheme for multidimensional magnetohydrodynamical equations, Unsplit algorithms for multidimensional systems of hyperbolic conservation laws with source terms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The piecewise parabolic method (PPM) for gas-dynamical simulations
• Multidimensional upwind methods for hyperbolic conservation laws
• High resolution schemes for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• An implicit-explicit hybrid method for Lagrangian hydrodynamics
• High resolution finite volume methods on arbitrary grids via wave propagation
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Front tracking for hyperbolic systems
• Approximate Riemann solvers, parameter vectors, and difference schemes
• An unsplit 3D upwind method for hyperbolic conservation laws
• Extension of the piecewise parabolic method to multidimensional ideal magnetohydrodynamics
• An implicit-explicit Eulerian Godunov scheme for compressible flow
• Two-dimensional front tracking based on high resolution wave propagation methods
• Iterative implementation of an implicit-explicit hybrid scheme for hydrodynamics
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• An evaluation of several differencing methods for inviscid fluid flow problems
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
• A Higher-Order Godunov Method for Multidimensional Ideal Magnetohydrodynamics
• On the Construction and Comparison of Difference Schemes