四维变系数对流扩散方程的通用并行数值计算

Universal Parallel Numerical Computing for 4D Convection- Diffusion Equation with Variable Coefficients

将 Crank- Nicolson隐差分法与分带交替并行方法结合 ,提出一种绝对稳定的变系数四维(空间三维加时间一维 )对流扩散方程的通用并行数值计算模型—— Codie4D,可用于模拟一般性的不可压缩流体中的对流扩散过程 ,利用普遍的 MPI库在工作站网络上可并行化实现 Codie4D.实验结果表明 ,Codie4D具有通用性强、无条件稳定。

A universal parallelized approach for solving coefficient varied C D equation with four dimensions (three dimensions for space plus one for time), named as Codie4D, was proposed by combining the implicit difference method of Crank Nicolson with alternating strip parallelization. This approach can be used to simulate the convection diffusion process in non condensable liquid under any application contexts. This paper also presented one parallel implementation of Codie4D on network of workstations through the universal MPI library. The experimental results show that Codie4D is characterized as general, absolutely stable, of high accuracy and good runtime performance.