The mathematical structure of the lattices of the lattice Boltzmann method

Shan, Xiaowen

2016-11

10.1016/j.jocs.2016.03.002

Journal of Computational Science   影响因子和分区

1877-7503

It was shown previously (Shan, 2010) that the lattice weights of the lattice Boltzmann method are the solutions to an optimization problem subjecting to a set of linear equality and inequality constraints. Here, a solution strategy is developed and complete solutions for such optimization problem are obtained in one-, two-, and three-dimensions up to 9th order. In addition to recovering the well-known lattices, a number of high-order lattices are also discovered for the first time. These lattices can be used to construct high-order lattice Boltzmann schemes for non-equilibrium flow simulation. (C) 2016 Elsevier B.V. All rights reserved.

Kinetic theory Lattice Boltzmann method Quadrature

SCI ; CPCI-S ; EI

英语

第一 ; 通讯

Computer Science

Computer Science, Interdisciplinary Applications ; Computer Science, Theory & Methods

WOS:000390625800019

ELSEVIER SCIENCE BV

20161202132313

Computational fluid dynamics ; Constraint theory ; Kinetic theory ; Optimization

Computer Applications:723.5 ; Optimization Techniques:921.5 ; Mathematical Statistics:922.2 ; Systems Science:961

Web of Science

South Univ Sci & Technol China, Dept Mech & Aerosp Engn, Shenzhen 518055, Guangdong, Peoples R China

Shan, Xiaowen. The mathematical structure of the lattices of the lattice Boltzmann method[J]. Journal of Computational Science,2016,17:475-481.

Shan, Xiaowen.(2016).The mathematical structure of the lattices of the lattice Boltzmann method.Journal of Computational Science,17,475-481.

Shan, Xiaowen."The mathematical structure of the lattices of the lattice Boltzmann method".Journal of Computational Science 17(2016):475-481.