A high order staggered grid method for hyperbolic systems of conservation laws in one space dimension

DOI10.1016/0045-7825(89)90017-0zbMath0694.65042OpenAlexW1984732474MaRDI QIDQ909418

Richard Sanders, Alan Weiser

Publication date: 1989

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(89)90017-0

zbMATH Keywords

numerical resultssystem of conservation lawshigh order staggered grid finite difference scheme

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items

Physics-informed neural networks for high-speed flows, Central schemes and contact discontinuities, High resolution staggered mesh approach for nonlinear hyperbolic systems of conservation laws, Lattice-Boltzmann type relaxation systems and high order relaxation schemes for the incompressible Navier-Stokes equations, Piecewise parabolic method on a local stencil for magnetized supersonic turbulence simulation, A relaxation scheme for solving the Boltzmann equation based on the Chapman-Enskog expansion

Cites Work

• Unnamed Item
• Unnamed Item
• The piecewise parabolic method (PPM) for gas-dynamical simulations
• An analysis of the grid orientation effect in numerical simulation of miscible displacement
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Uniformly high order accurate essentially non-oscillatory schemes. III
• A Third-Order Accurate Variation Nonexpansive Difference Scheme for Single Nonlinear Conservation Laws
• A Direct Eulerian MUSCL Scheme for Gas Dynamics
• Riemann Solvers, the Entropy Condition, and Difference
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• Weak solutions of nonlinear hyperbolic equations and their numerical computation