| 一种解Dirichlet问题的虚拟区域法及其在广义Stokes问题中的应用(英文) |
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| 引用本文： | 周春华,唐海敏.一种解Dirichlet问题的虚拟区域法及其在广义Stokes问题中的应用(英文)[J].南京航空航天大学学报(英文版),2001,18(1). |
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| 作者姓名： | 周春华 唐海敏 |
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| 作者单位： | 南京航空航天大学航空宇航学院 |
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| 摘 要： | 讨论了求解线性 Dirichlet问题的虚拟区域法及其在广义 Stokes问题中的应用 .这种方法通过 Lagrange乘子技术来处理 Dirichlet边界条件 ,因而非常适用于粘性流动问题中的无滑移边界条件。为提高解的精度 ,我们根据事后误差估算对网格进行自适应加密。Mini-element离散被应用于广义 Stokes问题的求解。最后 ,我们给出一些数值结果以验证这种针对 Dirichlet边界条件的偏微分程解法。
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| 关 键 词： | 虚拟区域法 Dirichlet问题 有限元 广义Stokes问题 Lagrange乘子 |
A FICTITIOUS DOMAIN METHOD FOR DIRICHLET PROBLEM AND ITS APPLICATIONS TO GENER ALIZED STOKES PROBLEM |
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| Zhou Chunhua,Tang Haimin.A FICTITIOUS DOMAIN METHOD FOR DIRICHLET PROBLEM AND ITS APPLICATIONS TO GENER ALIZED STOKES PROBLEM[J].Transactions of Nanjing University of Aeronautics & Astronautics,2001,18(1). |
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| Authors: | Zhou Chunhua Tang Haimin |
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| Institution: | Zhou Chunhua Tang HaiminCollege of Aerospace Engineering,NUAA29 Yudao Street,Nanjing 210016,P.R.China |
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| Abstract: | This paper discusses a fictitious domain method for the linear Dirichlet problem and its applications to the generalized Stokes problem. This method treats Dirichlet boundary condit ion via a Lagrange multiplier technique and is well suited to the no-slip bound ary condition in viscous flow problems. In order to improve the accuracy of solu tions, meshes are refined according to the a posteriori error estimate. The mini -element discretization is applied to solve the generalized Stokes problem. Fin ally, some numerical results to validate this method are presented for partial d ifferential equations with Dirichlet boundary condition. |
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| Keywords: | fictitious domain Diri chlet problem finite element generalized Stokes problem Lagrange multiplier |
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