扩散方程的守恒型并行计算格式

Conservative Parallel Schemes for Diffusion Equations

辐射流体力学实际问题计算中扩散方程的计算量极大,必须采用并行计算.研究易于在并行机上实施的高效的并行计算方法,通过采用预估修正等多种方式,构造和发展既保持隐式格式的守恒性、同时能保持所需精度与无条件稳定性的并行计算格式,以满足大规模数值求解辐射流体力学问题的需求.

In numerical simulation of radiation hydrodynamics problems, diffusion computation costs most part of simulation time. It is urgent to construct parallel schemes which are conservative, of high precision and unconditionally stable. The aim of the paper is to devise conservative parallel schemes based on methods of ＂prediction and/or correction＂ for nonlinear diffusion equations. Numerical results are presented to examine performance of conservative parallel schemes, such as accuracy, stability and parallel speedup.