高分辨KFVS有限体积方法及其CFD应用  

HIGH RESOLUTION KFVS FINITE VOLUME METHODS AND ITS APPLICATION IN CFD

作　　者：汤华中[1,2] 邬华谟[1,2] 

机构地区：[1]中国科学院计算数学与科学工程计算研究所 [2]中国科学院科学与工程计算国家重点实验室

出　　处：《计算数学》1999年第3期375-384,共10页Mathematica Numerica Sinica

基　　金：中国科学院教学特别支持费;国家攀登计划预选项目!"大规模科学与工程计算的方法和理论";计算物理国家实验室资助

摘　　要：This paper presents a class of high resolution KFVS (kinetic flux vector split-ting) finite volum methods for solving three-dimensional compressible Euler equa-tions with γ-gas law. The schemes are obtained based on the important connection between the Boltzmann equation and the Euler equations. According to the sign of the normal molecular velocity component at the surface of ally control volumes,one gives a splitting of the macroscopic flux vector, i.e. writes the macroscopic flux vector into the sum form of a positive flux and a negative flux. The initial reconstruction is applied to improve resolution of the schemes. Several numerical results are also presented to show the performance of our schemes.This paper presents a class of high resolution KFVS (kinetic flux vector split-ting) finite volum methods for solving three-dimensional compressible Euler equa-tions with γ-gas law. The schemes are obtained based on the important connection between the Boltzmann equation and the Euler equations. According to the sign of the normal molecular velocity component at the surface of ally control volumes,one gives a splitting of the macroscopic flux vector, i.e. writes the macroscopic flux vector into the sum form of a positive flux and a negative flux. The initial reconstruction is applied to improve resolution of the schemes. Several numerical results are also presented to show the performance of our schemes.

关 键 词：EULER方程 BOLTZMANN方程 KFVS有限体积法 

分 类 号：O241.82[理学—计算数学]