二维流体力学变分通用公式

何吉欢

二维流体力学变分通用公式

何吉欢

上海大学上海市应用数学和力学研究所, 上海200072

基金项目: 国家重点基础研究发展规划项目(973项目)资助项目(1998020318)

详细信息

作者简介:
何吉欢(1965- ),男,浙江诸暨人,上海大学博士,乌克兰科学院名誉教授,已发表论文100多篇,1998年获得英国Literati奖,现在担任International Journal of Nonlinear Scienceand Numerical Simulation杂志主编,同时担任International Journal of Turbo&Jet-Engines等5种国际杂志的编委.

中图分类号: O351
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出版历程
- 收稿日期: 2000-06-22
- 修回日期: 2001-04-08
- 刊出日期: 2001-09-15

A Universal Variational Formulation for Two Dimensional Fluid Mechanics

HE Ji-huan

Shanghai Insititute of Mathematics and Mechanics, Shanghai University, Shanghai 200072, P R China

摘要

摘要: 推导得到了二维流体力学变分通用公式,该公式适用于任何二维守恒型流体力学方程,得到的泛函受约于所谓的参数约束方程(控制方程中各参数间的相互关系式)。消除参数约束,我们可以十分方便地从通用公式导得广义变分原理。几个实例证明这种方法是有效的、简单的,并具有普遍的意义。
- 流体力学 /
- 变分原理
Abstract: A universal variational formulation for two dimensional fluid mechanics is obtained,which is subject to the so-called parameter-constrained equations(the relationship between paramters in two governing equations).By eliminating the constraints,the generalied variational principle(GVPs)can be readily derived from the formulation.The formulation can be applied to any conditions in case the governing equations can be converted into conservative forms.Some illustrative examples are given to testify the effectiveness and simplicity of the method.
- fluid mechanics /
- variational theory

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参考文献(25)

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