求解化学非平衡NS方程组的隐式R-K方法及其并行实现

摘要

In this paper, a spatial fully-implicit Runge-Kutta scheme is established to solve the unsteady chemical non-equilibrium NS equations, its parallel programme frame is also presented. The techniques of multi-physical-blocks pre-processing and communication optimisation are discussed. Numerical examples have been examined on the SUNWAY cluster, the calculation on feasibility, correctness and higher parallel efficiency of the scheme have been checked.%建立一种求解非定常化学非平衡NS(Navier-stokes)方程组的空间全隐式R-K(Runge-Kutta)方法,给出并行程序框架,讨论多块网格预处理技术和通信优化技术.在神威集群上进行算例考核,验算了算法的可行性、正确性和较高的并行效率.