A lattice Boltzmann model for Jeffreys viscoelastic fluid

被引:73
作者
Giraud, L
D'Humieres, D
Lallemand, P
机构
[1] CNRS, Lab ASCI, F-91405 Orsay, France
[2] Univ Paris 06, Ecole Normale Super, Phys Stat Lab, F-75321 Paris 05, France
[3] Univ Paris 07, F-75321 Paris 05, France
来源
EUROPHYSICS LETTERS | 1998年 / 42卷 / 06期
关键词
D O I
10.1209/epl/i1998-00296-0
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this letter, we show that an eleven-velocity two-dimensional lattice Boltzmann model using several relaxation times obeys a Jeffreys viscoelastic constitutive law with full isotropic behavior. The connection between the free parameters of the model and the Jeffreys transport coefficients is made with the help of a modified Chapman Enskog expansion taking into account large relaxation time effects. Numerical simulation of a pulsed Couette flow is performed leading to an excellent agreement with predictions.
引用
收藏
页码:625 / 630
页数:6
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