Kinetically reduced local Navier-Stokes equations: an alternative approach to hydrodynamics
Kinetically reduced local Navier-Stokes equations: an alternative approach to hydrodynamics
An alternative approach, the kinetically reduced local Navier-Stokes (KRLNS) equations for the grand potential and the momentum, is proposed for the simulation of low Mach number flows. The Taylor-Green vortex flow is considered in the KRLNS framework, and compared to the results of the direct numerical simulation of the incompressible Navier-Stokes equations. The excellent agreement between the KRLNS equations and the incompressible nonlocal Navier-Stokes equations for this nontrivial time-dependent flow indicates that the former is a viable alternative for computational fluid dynamics at low Mach numbers.
Navier-Stokes equations, Mach number, vortices
035702(R)-[12pp]
Karlin, Iliya V.
3331716f-692a-4b81-87a4-9aad489d025d
Tomboulides, Ananias G.
c4eb69a2-fbe5-4a2a-95d6-15639082fd77
Frouzakis, Christos E.
5619bc31-3ee6-4b7f-8da6-a69cb5d205bf
Ansumali, Santosh
009529b1-cdd7-43d5-878c-8bdcb126a363
September 2006
Karlin, Iliya V.
3331716f-692a-4b81-87a4-9aad489d025d
Tomboulides, Ananias G.
c4eb69a2-fbe5-4a2a-95d6-15639082fd77
Frouzakis, Christos E.
5619bc31-3ee6-4b7f-8da6-a69cb5d205bf
Ansumali, Santosh
009529b1-cdd7-43d5-878c-8bdcb126a363
Karlin, Iliya V., Tomboulides, Ananias G., Frouzakis, Christos E. and Ansumali, Santosh
(2006)
Kinetically reduced local Navier-Stokes equations: an alternative approach to hydrodynamics.
Physical Review E, 74 (3), .
(doi:10.1103/PhysRevE.74.035702).
Abstract
An alternative approach, the kinetically reduced local Navier-Stokes (KRLNS) equations for the grand potential and the momentum, is proposed for the simulation of low Mach number flows. The Taylor-Green vortex flow is considered in the KRLNS framework, and compared to the results of the direct numerical simulation of the incompressible Navier-Stokes equations. The excellent agreement between the KRLNS equations and the incompressible nonlocal Navier-Stokes equations for this nontrivial time-dependent flow indicates that the former is a viable alternative for computational fluid dynamics at low Mach numbers.
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Submitted date: 12 May 2006
Published date: September 2006
Keywords:
Navier-Stokes equations, Mach number, vortices
Identifiers
Local EPrints ID: 49250
URI: http://eprints.soton.ac.uk/id/eprint/49250
ISSN: 1539-3755
PURE UUID: 316c6f44-cbe3-4b62-998a-401334715cd4
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Date deposited: 25 Oct 2007
Last modified: 15 Mar 2024 09:54
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Contributors
Author:
Iliya V. Karlin
Author:
Ananias G. Tomboulides
Author:
Christos E. Frouzakis
Author:
Santosh Ansumali
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