二维流体力学变分通用公式

A Universal Variational Formulation for Two Dimensional Fluid Mechanics

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 。

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.