Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy

被引：137

作者：

Ansumali, S.

Karlin, I. V. ^{[1
]}

Arcidiacono, S.

Abbas, A.

Prasianakis, N. I.

机构：

[1] Nanyang Technol Univ, Sch Chem & Biomed Engn, Singapore 639798, Singapore

[2] ETH, Aerothermochem & Combust Syst Lab, CH-8092 Zurich, Switzerland

[3] Paul Scherrer Inst, CH-5232 Villigen, Switzerland

[4] Nanyang Technol Univ, Sch Chem & Biomed Engn, Singapore 639798, Singapore

来源：

PHYSICAL REVIEW LETTERS | 2007年 / 98卷 / 12期

关键词：

D O I：

10.1103/PhysRevLett.98.124502

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The exact solution to the hierarchy of nonlinear lattice Boltzmann (LB) kinetic equations in the stationary planar Couette flow is found at nonvanishing Knudsen numbers. A new method of solving LB kinetic equations which combines the method of moments with boundary conditions for populations enables us to derive closed-form solutions for all higher-order moments. A convergence of results suggests that the LB hierarchy with larger velocity sets is the novel way to approximate kinetic theory.

引用

页数：4

共 12 条

[1]

[Anonymous], MICROFLOWS FUNDAMENT

[2]

[Anonymous], 2005, INVARIANT MANIFOLDS

[3] Kinetic boundary conditions in the lattice Boltzmann method [J].