Quasiconservation laws for compressible three-dimensional Navier-Stokes flow

被引：2

作者：

Gibbon, J. D. ^{[1
,2
]}

Holm, D. D. ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

[2] Isaac Newton Inst Math Sci, Cambridge CB3 0EW, England

来源：

PHYSICAL REVIEW E | 2012年 / 86卷 / 04期

基金：

欧洲研究理事会;

关键词：

D O I：

10.1103/PhysRevE.86.047301

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We formulate the quasi-Lagrangian fluid transport dynamics of mass density rho and the projection q = omega . del rho vorticity omega onto the density gradient, as determined by the three-dimensional compressible Navier-Stokes equations for an ideal gas, although the results apply for an arbitrary equation of state. It turns out that the quasi-Lagrangian transport of q cannot cross a level set of rho. That is, in this formulation, level sets of rho (isopycnals) are impermeable to the transport of the projection q.

引用

页数：2

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