A comparison of single-time relaxation lattice Boltzmann schemes with enhanced stability
METADATA ONLY
Loading...
Author / Creator
Date
2006-10
Publication Type
Review Article
ETH Bibliography
yes
Citations
Altmetric
METADATA ONLY
Data
Rights / License
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.
Permanent link
Publication status
published
External links
Editor
Book title
Journal / series
Volume
17 (10)
Pages / Article No.
1375 - 1390
Publisher
World Scientific
Event
Edition / version
Methods
Geographic location
Date collected
Date created
Subject
Lattice Boltzmann method; Stability; Entropic; Fix-up
Organisational unit
03611 - Boulouchos, Konstantinos (emeritus) / Boulouchos, Konstantinos (emeritus)
Notes
Received 29 November 2005, Revised 15 December 2005.