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 numer...

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Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 74; no. 3 Pt 2; p. 035702
Main Authors Karlin, Iliya V, Tomboulides, Ananias G, Frouzakis, Christos E, Ansumali, Santosh
Format Journal Article
LanguageEnglish
Published United States 01.09.2006
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Summary: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.
ISSN:1539-3755
DOI:10.1103/physreve.74.035702