Fourth order accurate compact scheme with group velocity control (GVC)  

作　　者：马延文 傅德薰 

出　　处：《Science China Mathematics》2001年第9期1197-1204,共8页中国科学：数学（英文版）

基　　金：the computers of the State Kay Laboratory of Scientific and Engineering Computing, the Chinese Academy of Sciences; This work was supporded by the National Natural Science Foundation of China (Grant No. 19972070); "95" Project and 973 Project (Grant N

摘　　要：For solving complex flow field with multi-scale structure higher order accurate schemes are preferred. Among high order schemes the compact schemes have higher resolving efficiency. When the compact and upwind compact schemes are used to solve aerodynamic problems there are numerical oscillations near the shocks. The reason of oscillation production is because of non-uniform group velocity of wave packets in numerical solutions. For improvement of resolution of the shock a parameter function is introduced in compact scheme to control the group velocity. The newly developed method is simple. It has higher accuracy and less stencil of grid points.For solving complex flow field with multi-scale structure higher order accurate schemes are preferred. Among high order schemes the compact schemes have higher resolving efficiency. When the compact and upwind compact schemes are used to solve aerodynamic problems there are numerical oscillations near the shocks. The reason of oscillation production is because of non-uniform group velocity of wave packets in numerical solutions. For improvement of resolution of the shock a parameter function is introduced in compact scheme to control the group velocity. The newly developed method is simple. It has higher accuracy and less stencil of grid points

关 键 词：compact scheme high resolution of shock group velocity control 

分 类 号：O355[理学—流体力学]