SOME WEIGHT-TYPE HIGH-RESOLUTION DIFFERENCE SCHEMES AND THEIR APPLICATIONS

作     者：王汝权 申义庆 

作者机构：Institute of Computational Mathematics and Scientific/Engineering Computing Chinese Academy of Sciences Beijing China 100080 LHD Institute of Mechanics Chinese Academy of Sciences Beijing China 100080 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：1999年第15卷第4期

页      面：313-324页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The project supported by the National Natural Science Foundation of China (19582007) Partly by State Key Laboratory of Scientific/Engineering Computing 

主　　题：TVD schemes ENO schemes WENO schemes Euler equations Navier-Stokes equations 

摘      要：By the aid of an idea of the weighted ENO schemes, some weight-type high-resolution difference schemes with different orders of accuracy are presented in this paper by using suitable weights instead of the minmod functions appearing in various TVD schemes. Numerical comparisons between the weighted schemes and the non-weighted schemes have been done for scalar equation, one-dimensional Euler equations, two-dimensional Navier-Stokes equations and parabolized Navier-Stokes equations.