| 流体力学广义 GLS/PG 方法基本理论 |
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| 引用本文： | 王建军,陆明万,张雄,李其汉,朱梓根.流体力学广义 GLS/PG 方法基本理论[J].水动力学研究与进展(A辑),2002,17(3):294-303. |
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| 作者姓名： | 王建军 陆明万 张雄 李其汉 朱梓根 |
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| 作者单位： | 1. 北京航空航天大学动力系,北京,100083
2. 清华大学工程力学系,北京,100084 |
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| 摘 要： | 本文在分析总结国内外有关研究的基础上，讨论了以Petrov-Galerkin原理为基础求解Navier-Stokes方程的广义GLS／PG（Galerkin-Least-Square/Petrov-Galerkin)方法基本理论。文中首先以对流－扩散方程为例说明了Petrov-Galerkin方法的基本原理，然后给出了流体力学广义GLS／PG方法基本理论，而且说明了SUPG法和PSPG法等均是其中的一种方法，从而可以从更系统，广泛的角度来分析研究相应理论的基本性质和特点。
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| 关 键 词： | 流体力学 Petrov－Galerkin方法 最小二乘法 对流－扩散方程 中性不可压流体 |
| 文章编号： | 1000-4874(2002)03-0294-10 |
Theoretical framework for generalized Galerkin-least-square/Petrov-Galerkin method in fluid mechanics |
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| WANG Jian jun ,LU Ming wan ,ZHANG Xiong LI Qi han ,ZHU Zi gen.Theoretical framework for generalized Galerkin-least-square/Petrov-Galerkin method in fluid mechanics[J].Journal of Hydrodynamics,2002,17(3):294-303. |
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| Authors: | WANG Jian jun LU Ming wan ZHANG Xiong LI Qi han ZHU Zi gen |
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| Affiliation: | WANG Jian jun 1,LU Ming wan 2,ZHANG Xiong 2 LI Qi han 1,ZHU Zi gen 1 |
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| Abstract: | A theoretical framework of the generalized Galerkin least square/Petrov Galerkin method was established for solving Navier Stokes equations. Firstly the basic principle of Petrov Galerkin method was illucidated by an example of convection diffusion equation. Then the generalized GLS/PG methods in fluid mechanics was outlined and SUPG method and PSPG method were proved to be the special cases of this theoretical framework. Therefore with the generalized GLS/PG methods the basic characteristics of this type of numerical methods in fluid mechanics could be better understood. |
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| Keywords: | fluid mechanics Petrov Galerkin method Galerkin least square |
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