Discrete lattice effects on the forcing term in the lattice Boltzmann method

被引：1860

作者：

Guo, Zhaoli ^{[1
]}

Zheng, Chuguang ^{[1
]}

Shi, Baochang ^{[2
]}

机构：

[1] Natl. Laboratory of Coal Combustion, Huazhong Univ. of Sci. and Technol., Wuhan 430074, China

[2] Department of Mathematics, Huazhong Univ. of Sci. and Technol., Wuhan 430074, China

来源：

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2002年 / 65卷 / 04期

关键词：

Algebra - Hydrodynamics - Mathematical models - Navier Stokes equations - Numerical methods - Viscosity;

D O I：

10.1103/PhysRevE.65.046308

中图分类号：

学科分类号：

摘要：

We show that discrete lattice effects must be considered in the introduction of a force into the lattice Boltzmann equation. A representation of the forcing term is then proposed. With the representation, the Navier-Stokes equation is derived from the lattice Boltzmann equation through the Chapman-Enskog expansion. Several other existing force treatments are also examined. © 2002 The American Physical Society.

引用

页码：1 / 046308