正压流体动力学的简化变分原理
Simplified Variational Principles for Barotropic Fluid Dynamics
摘要:
本文介绍了定常和非定常正压气流的三个独立函数变分形式。这比出现在流体动力学的标准方程中的四个变量少,这四个变量是速度场$\vec v$和密度$ρ$。它将显示如何在我们的新变量的欧拉方程和连续性方程可以集成在静止的情况下。
英文摘要:
We introduce a three independent functions variational formalism for stationary and non-stationary barotropic flows. This is less than the four variables which appear in the standard equations of fluid dynamics which are the velocity field $\vec v$ and the density $ρ$. It will be shown how in terms of our new variable the Euler and continuity equations can be integrated in the stationary case.
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