Renormalization of the lattice Boltzmann hierarchy

Karlin, Iliya V. and Ansumali, Santosh (2007) Renormalization of the lattice Boltzmann hierarchy. Physical Review E, 76, (02), 025701(R)-[4pp]. (doi:10.1103/PhysRevE.76.025701).


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Is it possible to solve Boltzmann-type kinetic equations using only a small number of particle velocities ? We introduce a technique of solving kinetic equations with a (arbitrarily) large number of particle velocities using only a lattice Boltzmann method on standard, low-symmetry lattices. The renormalized kinetic equation is validated with an exact solution of the planar Couette flow at moderate Knudsen numbers.

Item Type: Article
ISSNs: 1539-3755 (print)
Related URLs:
Keywords: couette flow, flow simulation, knudsen flow, lattice Boltzmann methods, renormalisation
Subjects: T Technology > TJ Mechanical engineering and machinery
T Technology > TA Engineering (General). Civil engineering (General)
Divisions: University Structure - Pre August 2011 > School of Engineering Sciences > Thermofluids and Superconductivity
ePrint ID: 49268
Date Deposited: 26 Oct 2007
Last Modified: 06 Aug 2015 02:40

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