Quasiequilibrium lattice Boltzmann models with tunable bulk viscosity for enhancing stability

Item Type: Article
MIUR type: Article > Journal article
Title: Quasiequilibrium lattice Boltzmann models with tunable bulk viscosity for enhancing stability
Authors string: P. Asinari, I.V. Karlin
University authors:
Journal or Publication Title: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
Referee type: Not specified type
Publisher: American Physical Society
Volume: 81
Number: (01670
Page Range: 016702-1-016702-15
Number of Pages: 15
ISSN: 1539-3755
Description/Info: Taking advantage of a closed-form generalized Maxwell distribution function [ P. Asinari and I. V. Karlin Phys. Rev. E 79 036703 (2009)] and splitting the relaxation to the equilibrium in two steps, an entropic quasiequilibrium (EQE) kinetic model is proposed for the simulation of low Mach number flows, which enjoys both the H theorem and a free-tunable parameter for controlling the bulk viscosity in such a way as to enhance numerical stability in the incompressible flow limit. Moreover, the proposed model admits a simplification based on a proper expansion in the low Mach number limit (LQE model). The lattice Boltzmann implementation of both the EQE and LQE is as simple as that of the standard lattice Bhatnagar-Gross-Krook (LBGK) method, and practical details are reported. Extensive numerical testing with the lid driven cavity flow in two dimensions is presented in order to verify the enhancement of the stability region. The proposed models achieve the same accuracy as the LBGK method with much rougher meshes, leading to an effective computational speed-up of almost three times for EQE and of more than four times for the LQE. Three-dimensional extension of EQE and LQE is also discussed
Date: 2010
Status: Published
Language of publication: English
Uncontrolled Keywords:
Departments (original): DENER - Energetics
Departments: DENERG - Department of Energy
Related URLs:
    Subjects: Area 09 - Ingegneria industriale e dell'informazione > FISICA TECNICA INDUSTRIALE
    Date Deposited: 12 Jan 2010 18:01
    Last Modified: 28 Nov 2012 03:24
    Id Number (DOI): 10.1103/PhysRevE.81.016702
    Permalink: http://porto.polito.it/id/eprint/2294914
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