二维Euler方程组的高分辨率隐式差分格式的并行计算  

Parallel Implementation of TVD Schemes for the System of 2-D Euler Equations

作　　者：田海燕[1] 戴嘉尊[1] 赵宁[1] 

机构地区：[1]南京航空航天大学

出　　处：《空气动力学学报》1996年第2期193-199,共7页Acta Aerodynamica Sinica

基　　金：国家航空基金

摘　　要：本文首先对标量双曲型守恒律构造了一类新的二阶隐式ＴＶＤ差分格式，再利用Ｒｏｅ方法和隐式近似因子分解法推广格式到一维、二维守恒率方程组。为减少计算工作量，推导了二维Ｅｕｌｅｒ方程组隐格式的对角形式。最后，针对江南－Ⅱ并行机设计了适合于多处理机结构特征的并行计算程序，计算翼型的跨声速流场，结果令人满意。In this paper, we construct a class of implicit two-order TVD scheme and make it linearized. We apply this scheme in the numerical calculation of two-dimensional Euler equations on the basis of AF method. In order to accelerate the conyergence rate, diagonalization has been used, and, for Jiangnan-Ⅱ parallel computer, a parallel scheme is worked out to make full use of the structural characteristic of JiangnanⅡ multi-processor and bring it into full play. The numerical results show that the new method has the advantage of good convergence rate and high resolution.

关 键 词：TVD格式 并行算法 欧拉方程 空气动力学 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]