The University of Southampton
University of Southampton Institutional Repository

A comparison of single-time relaxation lattice Boltzmann schemes with enhanced stability

A comparison of single-time relaxation lattice Boltzmann schemes with enhanced stability
A comparison of single-time relaxation lattice Boltzmann schemes with enhanced stability
In the recent years the entropic version of the lattice Boltzmann method (ELB) has made proof of significantly enhanced numerical stability as compared to the standard single-time relaxation form of the lattice Boltzmann equation. In this paper, we compare ELB with a more empirical procedure, based on the idea of modifying the value of the relaxation time in such a way as to enforce the positivity of the kinetic distribution function (fix-up method). The stability enhancement due to ELB and fix-up are compared for the case a two-dimensional lid-driven cavity flow. It is shown that ELBM offers higher stability at a moderate price in terms of computational overhead. On the other hand, even the simple fix-up procedure can provide significant savings over the standard single-time relaxation method, virtually cost-free in terms of computational requirements.
0129-1831
1375-1390
Tosi, F.
2d43db50-1f64-47ea-b410-d552b945d477
Ubertini, S.
71ab9088-06d4-4293-966d-942aa75b36e6
Succi, S.
159d4d9f-4607-4485-8fca-4d7ad11db6f4
Chen, H.
d30e2017-5be4-4a58-aacd-13fec55ae5f2
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Tosi, F.
2d43db50-1f64-47ea-b410-d552b945d477
Ubertini, S.
71ab9088-06d4-4293-966d-942aa75b36e6
Succi, S.
159d4d9f-4607-4485-8fca-4d7ad11db6f4
Chen, H.
d30e2017-5be4-4a58-aacd-13fec55ae5f2
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a

Tosi, F., Ubertini, S., Succi, S., Chen, H. and Karlin, I.V. (2006) A comparison of single-time relaxation lattice Boltzmann schemes with enhanced stability. International Journal of Modern Physics C, 17 (10), 1375-1390. (doi:10.1142/S0129183106009163).

Record type: Article

Abstract

In the recent years the entropic version of the lattice Boltzmann method (ELB) has made proof of significantly enhanced numerical stability as compared to the standard single-time relaxation form of the lattice Boltzmann equation. In this paper, we compare ELB with a more empirical procedure, based on the idea of modifying the value of the relaxation time in such a way as to enforce the positivity of the kinetic distribution function (fix-up method). The stability enhancement due to ELB and fix-up are compared for the case a two-dimensional lid-driven cavity flow. It is shown that ELBM offers higher stability at a moderate price in terms of computational overhead. On the other hand, even the simple fix-up procedure can provide significant savings over the standard single-time relaxation method, virtually cost-free in terms of computational requirements.

This record has no associated files available for download.

More information

Published date: October 2006

Identifiers

Local EPrints ID: 49253
URI: http://eprints.soton.ac.uk/id/eprint/49253
ISSN: 0129-1831
PURE UUID: 875706d5-40ec-4222-acd2-1bbc6e19ee6d

Catalogue record

Date deposited: 26 Oct 2007
Last modified: 15 Mar 2024 09:54

Export record

Altmetrics

Contributors

Author: F. Tosi
Author: S. Ubertini
Author: S. Succi
Author: H. Chen
Author: I.V. Karlin

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.

×