论文标题

一般和精确的压力演化方程

General and exact pressure evolution equation

论文作者

Toutant, Adrien

论文摘要

流体动力学中的关键问题与流体压力的知识有关。新的常规压力方程是从可压缩的Navier-Stokes方程得出的。有人认为,这种新的压力方程允许统一可压缩,低操作和不可压缩的方法。此外,该方程式应该能够替换等温流体中的泊松方程。对于计算流体动力学,可以将其视为晶格玻尔兹曼方法的替代方法,也可以视为人工compressible的物理理由。

A crucial issue in fluid dynamics is related to the knowledge of the fluid pressure. A new general pressure equation is derived from compressible Navier-Stokes equation. It is argued that this new pressure equation allows unifying compressible, low-Mach and incompressible approaches. Moreover, this equation should be able to replace the Poisson equation in isothermal incompressible fluids. For computational fluid dynamics, it can be seen as an alternative to Lattice Boltzmann methods and as the physical justification of artificial com-pressibility.

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