The University of Southampton
University of Southampton Institutional Repository

Quasiequilibrium lattice Boltzmann models with tunable bulk viscosity for enhancing stability

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.
1539-3755
016702-[15p]
Asinari, Pietro
87c3a42e-9d31-4bdd-baf4-23abc8bae90a
Karlin, Ilya V.
807bea87-3f45-44a7-9051-fe8452d9c10a
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), 016702-[15p]. (doi:10.1103/PhysRevE.81.016702).

Record type: Article

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.

Full text not available from this repository.

More information

Published date: January 2010

Identifiers

Local EPrints ID: 155893
URI: http://eprints.soton.ac.uk/id/eprint/155893
ISSN: 1539-3755
PURE UUID: 813bb615-3526-4d0d-9c68-c136e17b83fa

Catalogue record

Date deposited: 01 Jun 2010 15:57
Last modified: 16 Jul 2019 23:57

Export record

Altmetrics

Contributors

Author: Pietro Asinari
Author: Ilya V. Karlin

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×