Affordable shock-stable item for Godunov-type schemes against carbuncle phenomenon

作者：Chen, Shu-sheng; Yan, Chao^*; Lin, Bo-xi; Liu, Li-yuan; Yu, Jian

来源：Journal of Computational Physics, 2018, 373: 662-672.

DOI：10.1016/j.jcp.2018.07.022

• Carbuncle phenomenon
• Shock-stable
• Roe
• HLL
• Robustness
• Hypersonic

The work proposes a simple, efficient and unified approach to combat carbuncle phenomenon. The basic idea of this approach is to construct an affordable shock-stable item into numerical flux. This item is acquired by comparing three-wave Roe solver and two-wave HLL solver based on Roe linearization and the projection of difference term. It is consistent with shear viscosity and meantime restrained by the pressure-based sensing function for shear layer. The proposed enhancement is easy to implement and apply within Roe, HLLEM, HLLC, AUSM+, etc. Several well-known cases illuminate its shock robustness and potential application to hypersonic flows.

• 出版日期2018-11-15
• 单位北京航空航天大学; 中国航天空气动力技术研究院