Quasiconservation laws for compressible three-dimensional Navier-Stokes flow

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Title: Quasiconservation laws for compressible three-dimensional Navier-Stokes flow
Authors: Gibbon, JD
Holm, DD
Item Type: Journal Article
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.
Issue Date: 18-Oct-2012
Date of Acceptance: 1-Oct-2012
URI: http://hdl.handle.net/10044/1/66543
DOI: https://dx.doi.org/10.1103/PhysRevE.86.047301
ISSN: 1539-3755
Publisher: American Physical Society
Journal / Book Title: Physical Review E
Volume: 86
Issue: 4
Copyright Statement: © 2012 American Physical Society.
Keywords: Science & Technology
Physical Sciences
Physics, Fluids & Plasmas
Physics, Mathematical
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Fluids & Plasmas
Publication Status: Published
Article Number: 047301
Online Publication Date: 2012-10-18
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics

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