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.
|Digital Object Identifier (DOI):||doi:10.1103/PhysRevE.74.035702|
|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
|Accepted Date and Publication Date:||
|Date Deposited:||25 Oct 2007|
|Last Modified:||31 Mar 2016 12:26|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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