title: Kinetically reduced local Navier-Stokes equations: an alternative approach to hydrodynamics.
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.
authors.affiliation: Institute of Energy Technology, ETH, 8092 Zurich, Switzerland. karlin@lav.mavt.ethz.ch
authors.forename: Iliya V
authors.initials: IV
authors.lastname: Karlin
authors.forename: Ananias G
authors.initials: AG
authors.lastname: Tomboulides
authors.forename: Christos E
authors.initials: CE
authors.lastname: Frouzakis
authors.forename: Santosh
authors.initials: S
authors.lastname: Ansumali