NUMERICAL DISSIPATION FOR THREE-POINT DIFFERENCE SCHEMES TO HYPERBOLIC EQUATIONS WITH UNEVEN MESHES  

作　　者：Zi-niu Wu(Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China) 

出　　处：《Journal of Computational Mathematics》2003年第4期519-534,共16页计算数学（英文）

基　　金：This work was supported by China NKBRSF Project(2001CB409600)and by China National Natural Science Foundations(10025210)

摘　　要：The widely used locally adaptive Cartesian grid methods involve a series of abruptly refined interfaces. The numerical dissipation due to these interfaces is studied here for three-point difference approximations of a hyperbolic equation. It will be shown that if the wave moves in the fine-to-coarse direction then the dissipation is positive (stabilizing), and if the wave moves in the coarse-to-fine direction then the dissipation is negative (destabilizing).The widely used locally adaptive Cartesian grid methods involve a series of abruptly refined interfaces. The numerical dissipation due to these interfaces is studied here for three-point difference approximations of a hyperbolic equation. It will be shown that if the wave moves in the fine-to-coarse direction then the dissipation is positive (stabilizing), and if the wave moves in the coarse-to-fine direction then the dissipation is negative (destabilizing).

关 键 词：Refined interfaces Numerical dissipation Three-point difference approxima-tion Hyperbolic equation. 

分 类 号：O241[理学—计算数学]