Quasiequilibrium lattice Boltzmann models with tunable bulk viscosity for enhancing stability
Quasiequilibrium lattice Boltzmann models with tunable bulk viscosity for enhancing stability
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.
016702-[15p]
Asinari, Pietro
87c3a42e-9d31-4bdd-baf4-23abc8bae90a
Karlin, Ilya V.
807bea87-3f45-44a7-9051-fe8452d9c10a
January 2010
Asinari, Pietro
87c3a42e-9d31-4bdd-baf4-23abc8bae90a
Karlin, Ilya V.
807bea87-3f45-44a7-9051-fe8452d9c10a
Asinari, Pietro and Karlin, Ilya V.
(2010)
Quasiequilibrium lattice Boltzmann models with tunable bulk viscosity for enhancing stability.
Physical Review E, 81 (1), .
(doi:10.1103/PhysRevE.81.016702).
Abstract
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.
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Published date: January 2010
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Local EPrints ID: 155893
URI: http://eprints.soton.ac.uk/id/eprint/155893
ISSN: 1539-3755
PURE UUID: 813bb615-3526-4d0d-9c68-c136e17b83fa
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Date deposited: 01 Jun 2010 15:57
Last modified: 14 Mar 2024 01:41
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Author:
Pietro Asinari
Author:
Ilya V. Karlin
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