【摘要】 <正> 前言 MacCormack格式(以下简称为MC格式)近年来在国内外用得较多。在非线性气体力学问题的计算中,它与著名的L-W格式或L-W二步格式相比有许多不同。其主要差别是MC格式的数值解中激波后的过头(Overshoot)较小。对于多维问题,MC格式对时间变量分步(Time Splitting)是十分有效的。 为了更好地了解MC格式,本文讨论MC格式的一些性质,并计算了两个典型问题。更多还原

【Abstract】 A stability condition of MacCormack scheme with Lapidus’ artificial viscosity is given in this paper.The cause of the oscillation,which occurs in the vicinity of the initial discontinuous point in the computation of Riemann problem by use of MacCormack scheme,is analysed-and a restriction on Lapidus viscosity coefficient v≥1/2 is deduced.Finally,some satisfactory computed resultt for two typical shock wave propagation problems are given.更多还原