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Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Oct;86(4 Pt 2):047301. Epub 2012 Oct 18.

Quasiconservation laws for compressible three-dimensional Navier-Stokes flow.

Author information

1
Department of Mathematics, Imperial College, London SW7 2AZ, United Kingdom. j.d.gibbon@ic.ac.uk

Abstract

We formulate the quasi-Lagrangian fluid transport dynamics of mass density ρ and the projection q=ω·∇ρ of the vorticity ω 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 ρ. That is, in this formulation, level sets of ρ (isopycnals) are impermeable to the transport of the projection q.

PMID:
23214709
DOI:
10.1103/PhysRevE.86.047301

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