Non-oscillatory central differencing for hyperbolic conservation laws
type: Item
instance of: scholarly article
title: Non-oscillatory central differencing for hyperbolic conservation laws
zbMATH Open document ID: 0697.65068
DOI: 10.1016/0021-9991(90)90260-8
author: Haim Nessyahu
author: Eitan Tadmor
published in: Journal of Computational Physics
publication date: 1990-01-01T00:00:00Z
review text: The building block of many high-resolution schemes for hyperbolic conservation laws is the averaging of an approximate Godunov solver. Instead, here is proposed to use as a building block the most robust Lax- Friedrichs solver. The main advantage is the simplicity: no Riemann problems are solved and here field-by-field decompositions are avoided. Total-variation entropy estimates are provided in the scalar case and numerical experiments are discussed.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 4143379
zbMATH Keywords: non-oscillatory central differencing
zbMATH Keywords: hyperbolic conservation laws
zbMATH Keywords: Godunov solver
zbMATH Keywords: Lax-Friedrichs solver
zbMATH Keywords: Total-variation entropy estimates
zbMATH Keywords: numerical experiments
reviewed by: Violeta A. Kostova
MaRDI profile type: Publication
full work available at URL: 0021-9991(90)90260-8
OpenAlex ID: W2008076987
cites work: Convergence of approximate solutions to conservation laws
cites work: The Artificial Compression Method for Computation of Shocks and Contact Discontinuities: III. Self-Adjusting Hybrid Schemes
cites work: High resolution schemes for hyperbolic conservation laws
cites work: ENO schemes with subcell resolution
cites work: Uniformly high order accurate essentially non-oscillatory schemes. III
cites work: On finite-difference approximations and entropy conditions for shocks
cites work: A Random Choice Finite Difference Scheme for Hyperbolic Conservation Laws
cites work: Uniformly High-Order Accurate Nonoscillatory Schemes. I
cites work: Weak solutions of nonlinear hyperbolic equations and their numerical computation
cites work: Q3844581
cites work: Riemann Solvers, the Entropy Condition, and Difference
cites work: On the Convergence of Difference Approximations to Scalar Conservation Laws
cites work: Approximate Riemann solvers, parameter vectors, and difference schemes
cites work: Q4746129
cites work: A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
cites work: The Large-Time Behavior of the Scalar, Genuinely Nonlinear Lax-Friedrichs Scheme
cites work: Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes
cites work: Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
cites work: The numerical simulation of two-dimensional fluid flow with strong shocks
description: scientific article; zbMATH DE number 4143379