Kinetically reduced local Navier-Stokes equations: an alternative approach to hydrodynamics

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, (03), 035702(R)-[12pp]. (doi:10.1103/PhysRevE.74.035702).


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1103/PhysRevE.74.035702
ISSNs: 1539-3755 (print)
Related URLs:
Keywords: Navier-Stokes equations, Mach number, vortices
Subjects: T Technology > TJ Mechanical engineering and machinery
T Technology > TA Engineering (General). Civil engineering (General)
H Social Sciences > HA Statistics
Divisions : University Structure - Pre August 2011 > School of Engineering Sciences > Thermofluids and Superconductivity
ePrint ID: 49250
Accepted Date and Publication Date:
September 2006Published
12 May 2006Submitted
Date Deposited: 25 Oct 2007
Last Modified: 31 Mar 2016 12:26

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