Stabilization of the lattice Boltzmann method using the Ehrenfests' coarse-graining idea.
Phys Rev E Stat Nonlin Soft Matter Phys
; 74(3 Pt 2): 037703, 2006 Sep.
Article
de En
| MEDLINE
| ID: mdl-17025791
ABSTRACT
The lattice Boltzmann method (LBM) and its variants have emerged as promising, computationally efficient and increasingly popular numerical methods for modeling complex fluid flow. However, it is acknowledged that the method can demonstrate numerical instabilities, e.g., in the vicinity of shocks. We propose a simple technique to stabilize the LBM by monitoring the difference between microscopic and macroscopic entropy. Populations are returned to their equilibrium states if a threshold value is exceeded. We coin the name Ehrenfests' steps for this procedure in homage to the vehicle that we use to introduce the procedure, namely, the Ehrenfests' coarse-graining idea.
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Collection:
01-internacional
Base de données:
MEDLINE
Langue:
En
Journal:
Phys Rev E Stat Nonlin Soft Matter Phys
Sujet du journal:
BIOFISICA
/
FISIOLOGIA
Année:
2006
Type de document:
Article
Pays d'affiliation:
Royaume-Uni