用对角形AF—TVD格式求解Euler方程组

AN IMPLICIT DIAGONAL FORM EULER SOLVER

用对角形ＡＦ—ＴＶＤ格式求解Ｅｕｌｅｒ方程组陈波，徐建中（中国科学院工程热物理研究所北京１０００８０）关键词Ｅｕｌｅｒ方程，对角化，ＴＶＤ格式１引言Ｂｅａｍ和Ｗａｒｍｉｎｇ发展的求解气动方程组隐式近因子法［１，２］不仅可以突破ＣＦＬ条件选取较大时间步...

In this paper, An implicit diagonal form Euler solver using Beam-Warming's AF technique is investigated. Yee-Harten's TVD type numerical dissipation is combined with this algorithm to suppress spurious oscillation. Numerical examples show that the diagonal form scheme is robust and accurate for steady problem and it's computation cost is reduced to 50%.