波形松弛算法及其在计算流体力学中的应用

ON WAVEFORM RELAXATION METHODS AND ITS APPLICATION IN CFD

本文介绍求解线性常系数微分代数方程组的波形松弛算法,基于Laplace积分变换得到该算法新的收敛理论.进一步将波形松弛算法应用于求解非定常Stokes方程,介绍并讨论了连续时间波形松弛算法CABSOR算法和离散时间波形松弛算法DABSOR算法.

This paper provides introduction to the waveform relaxation methods for solving linear constant coefficient differential-algebraic equations （DAEs）. Based on the Laplace transform, a new convergence theory for these methods is presented. Furthermore, the application of the waveform relaxation methods to the solution of time-dependent Stokes equations is studied. Specifically, continuous-time waveform relaxation methods - CABSOR and discrete-time waveform relaxation methods - DABSOR are introduced and studied,