Premium
Dissipative mechanism in Godunov‐type schemes
Author(s) -
Xu Kun,
Li Zuowu
Publication year - 2001
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.160
Subject(s) - dissipative system , godunov's scheme , dissipation , shock (circulatory) , riemann problem , roe solver , mathematics , physics , mechanism (biology) , instability , scheme (mathematics) , classical mechanics , mechanics , mathematical analysis , riemann hypothesis , numerical analysis , thermodynamics , medicine , quantum mechanics
Abstract This paper concerns the dissipative mechanism in the shock capturing schemes, where exact or approximate Riemann solvers are used in the flux evaluation. More specifically, we are going to analyze the dissipation in the flux vector splitting (FVS) scheme and the Godunov method, from which some pathological phenomena from the FVS scheme and the Godunov method will be explained, such as the artificial dissipation and the shock instability. Copyright © 2001 John Wiley & Sons, Ltd.