| 波形松弛算法及其在计算流体力学中的应用 |
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| 引用本文： | 杨熙.波形松弛算法及其在计算流体力学中的应用[J].计算数学,2013,35(1):67-88. |
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| 作者姓名： | 杨熙 |
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| 作者单位： | 南京航空航天大学数学系, 南京 210016 |
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| 基金项目： | 国家自然科学基金(11101213)资助 |
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| 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.
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| 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 |
| 收稿时间： | 2012-09-04; |
ON WAVEFORM RELAXATION METHODS AND ITS APPLICATION IN CFD |
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| Yang Xi.ON WAVEFORM RELAXATION METHODS AND ITS APPLICATION IN CFD[J].Mathematica Numerica Sinica,2013,35(1):67-88. |
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| Authors: | Yang Xi |
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| Institution: | Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
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| Abstract: | 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. |
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| Keywords: | differential-algebraic equations saddle-structure time-dependent Stokes equation waveform relaxation method |
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