Monotone finite-difference scheme preserving high accuracy in regions of shock influence
type: Item
instance of: scholarly article
title: Monotone finite-difference scheme preserving high accuracy in regions of shock influence
zbMATH Open document ID: 1407.65137
DOI: 10.1134/S1064562418060315
author: N. A. Zyuzina
author: O. A. Kovyrkina
author: V. V. Ostapenko
published in: Doklady Mathematics
publication date: 2019-01-15T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 35L67
zbMATH DE Number: 7002205
zbMATH Keywords: shock-capturing finite difference scheme
zbMATH Keywords: WENO scheme
MaRDI profile type: Publication
cites work: Q5558541
cites work: Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
cites work: High resolution schemes for hyperbolic conservation laws
cites work: Non-oscillatory central differencing for hyperbolic conservation laws
cites work: Efficient implementation of weighted ENO schemes
cites work: Convergence of finite-difference schemes behind a shock front.
cites work: Computational Considerations for the Simulation of Shock-Induced Sound
cites work: Construction of high-order accurate shock-capturing finite difference schemes for unsteady shock waves
cites work: On the convergence of shock-capturing difference schemes
cites work: On the practical accuracy of shock-capturing schemes
cites work: Finite-difference approximation of the Hugoniot conditions on a shock front propagating with variable velocity
cites work: On the construction of combined finite-difference schemes of high accuracy
full work available at URL: s1064562418060315
OpenAlex ID: W2899683254
Recommended article: Combined monotone bicompact scheme of higher order accuracy in domains of influence of nonstationary shock waves
Recommended article: Numerical simulation of the viscous shock tube problem by using a high resolution monotonicity-preserving scheme
Recommended article: On Construction of Combined Shock-Capturing Finite-Difference Schemes of High Accuracy
Recommended article: Q4242420
Recommended article: On convergence of finite-difference shock-capturing schemes in regions of shock waves influence
Recommended article: On the Behaviour of High-Order One-Step Monotonicity-Preserving Scheme for Direct Numerical Simulation of Shocked Turbulent Flows
Recommended article: An improved accurate monotonicity-preserving scheme for the Euler equations
Recommended article: Techniques for improving monotonicity in a fourth-order finite-volume algorithm solving shocks and detonations
Recommended article: A numerical method for stationary shock problems with monotonic solutions
Recommended article: Monotone high-order accurate schemes for transport and parabolic equations
description: scientific article; zbMATH DE number 7002205