摘要
The free-gradient is proposed for cellcentered total variation diminishing finite difference schemes of inviscid aerodynamic equations with high order of accuracy to eradicate the negative effects of the mesh skewness on the flux limiter. This paper demonstrates that it can satisfies the free-stream and free-gradient simultaneously and keeps the accuracy order of the schemes by assigning the Jacobe of transformation on the cell surfce as 1 for Harten and osher-Chakravarthy schemes. It also shows that Yee-Harten schemes do not satisfy the free-gradient, thus a modification is conducted to make them work better on skewed meshes.
The free-gradient is proposed for cellcentered total variation diminishing finite difference schemes of inviscid aerodynamic equations with high order of accuracy to eradicate the negative effects of the mesh skewness on the flux limiter. This paper demonstrates that it can satisfies the free-stream and free-gradient simultaneously and keeps the accuracy order of the schemes by assigning the Jacobe of transformation on the cell surfce as 1 for Harten and osher-Chakravarthy schemes. It also shows that Yee-Harten schemes do not satisfy the free-gradient, thus a modification is conducted to make them work better on skewed meshes.
出处
《工程热物理学报》
EI
CAS
CSCD
北大核心
1997年第5期566-569,共4页
Journal of Engineering Thermophysics
基金
国家自然科学基金
