Nonlinear entropy stable Riemann solver with heuristic logarithmic pressure augmentation for supersonic and hypersonic flows

The work devises heuristic logarithmic pressure augmentation to overcome shock instability encountered by the nonlinear entropy stable Riemann solver under supersonic and hypersonic flows. The entropy stable Riemann solver involves three key ingredients: entropy variable, entropy conservative flux a...

Full description

Saved in:
Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2023-07, Vol.141, p.33-41
Main Authors: Chen, Shu-sheng, Li, Jin-ping, Yuan, Wu, Gao, Zheng-hong
Format: Article
Language:English
Subjects:
Entropy stable
Hypersonic
Pressure augmentation
Riemann solver
Shock robustness
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The work devises heuristic logarithmic pressure augmentation to overcome shock instability encountered by the nonlinear entropy stable Riemann solver under supersonic and hypersonic flows. The entropy stable Riemann solver involves three key ingredients: entropy variable, entropy conservative flux and entropy dissipation. Based on the derivation of wave strengths within entropy dissipation, the reasonable domination of the logarithmic pressure diffusion jump on entropy wave is conducive to shock stability. Thus, the basic idea of this approach is to introduce the additional logarithmic pressure diffusion term. The heuristic logarithmic pressure sensor with tanh function is constructed to detect shock discontinuities and activate this logarithmic diffusion term. In addition, the nonlinear eigenvalues are slightly modified by the neighboring cell values. Then, numerical test cases demonstrate its high shock robustness and shear layer resolution with attractive application to supersonic and hypersonic flows.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2023.03.024