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

作　　者：杨熙[1] 

机构地区：[1]南京航空航天大学数学系,南京210016

出　　处：《计算数学》2013年第1期67-88,共22页Mathematica Numerica Sinica

基　　金：国家自然科学基金(11101213)资助

摘　　要：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,

关 键 词：微分代数方程组 鞍点结构 非定常STOKES方程 波形松弛算法 

分 类 号：O241.6[理学—计算数学] O35[理学—数学]