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...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.展开更多
文摘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.
基金Supported bythe Major State Basic Research of China(Grant No.G1999032803),the National Natural Science Foundation of China (Grant No.10372052,10271066)and the Doctorate Foundation of the Ministry of Education of China(Grant No.20030422047).
