一致高精度KFVS方法用于多分量流的计算

５１．引言 很多传统的守恒型差分格式用于多组分流体的数值计算时，如果比热比１在不同流体间的界面附近不为常数，则数值解容易产生数值误差，并可能导致非物理解．文［１，４，７］就一些具体的格式提出了相应的减少物质界面附近数值误差的处理方法．它们的主要思想是对原来的算法作相应的非守恒校正， Ｋａｒｎｉ在文［５］中使用了原始变量算法求解多组分流，在文［６１又进一步研究了原始变量方法和 Ｌｅｖｅｌ Ｓｅｔ（位标）方法混合的算法．董素琴等［’］研究了多组分流体的二维非守恒型差分格式，结果表明，计算解在界面附近的误…

UNIFORMLY ACCURATE KFVS METHODS FOR MULTI-COMPONENT FLOW CALCULATIONS

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.