一致高精度KFVS方法用于多分量流的计算  

UNIFORMLY ACCURATE KFVS METHODS FOR MULTI-COMPONENT FLOW CALCULATIONS

作　　者：汤华中 邬华谟[2] 

机构地区：[1]科学与工程计算国家重点实验室,北京100080 [2]中国科学院计算数学与科学工程计算研究所,北京100080

出　　处：《数值计算与计算机应用》2001年第1期43-52,共10页Journal on Numerical Methods and Computer Applications

基　　金：国家自然科学基金;中科院数学特别支持费和计算物理国家重点实验室基金的资助.

摘　　要：This paper is to study extension of high resolution kinetic flux-vector splitting (KFVS) methods. In this new method, two Maxwellians are first introduced to recover the Euler equations with an additional conservative equation. Next, based on the well-known connection between the Euler equations and Boltzmann equations, a class of high resolution KFVS methods are presented to solve numerically multicomponent flows. Our method does not solve any Riemann problems, and add any nonconservative corrections. The numerical results are also presented to show the accuracy and robustness of our methods. These include one-dimensional shock tube problem, and two-dimensional interface motion in compressible flows. The computed solutions are oscillation-free near material fronts, and produce correct shock speeds.This paper is to study extension of high resolution kinetic flux-vector splitting (KFVS) methods. In this new method, two Maxwellians are first introduced to recover the Euler equations with an additional conservative equation. Next, based on the well-known connection between the Euler equations and Boltzmann equations, a class of high resolution KFVS methods are presented to solve numerically multicomponent flows. Our method does not solve any Riemann problems, and add any nonconservative corrections. The numerical results are also presented to show the accuracy and robustness of our methods. These include one-dimensional shock tube problem, and two-dimensional interface motion in compressible flows. The computed solutions are oscillation-free near material fronts, and produce correct shock speeds.

关 键 词：气体分子动力学 多分量流 计算 KFVS方法 

分 类 号：O241[理学—计算数学]