Karlin, Iliya V., Tomboulides, Ananias G., Frouzakis, Christos E. and Ansumali, Santosh
Kinetically reduced local Navier-Stokes equations: an alternative approach to hydrodynamics
Physical Review E, 74, (3), . (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.
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