A Universal Variational Formulation for Two Dimensional Fluid Mechanics

HE Ji-huan

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(9): 891-897

HE Ji-huan. A Universal Variational Formulation for Two Dimensional Fluid Mechanics[J]. Applied Mathematics and Mechanics, 2001, 22(9): 891-897.

Citation:

HE Ji-huan. A Universal Variational Formulation for Two Dimensional Fluid Mechanics[J]. Applied Mathematics and Mechanics, 2001, 22(9): 891-897.

Citation:

HE Ji-huan. A Universal Variational Formulation for Two Dimensional Fluid Mechanics[J]. Applied Mathematics and Mechanics, 2001, 22(9): 891-897.

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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

Received Date: 2000-06-22
Rev Recd Date: 2001-04-08
Publish Date: 2001-09-15

Abstract

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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References(25)

References

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