Involving the Navier-Stokes equations in the derivation of boundary conditions for the lattice Boltzmann method

被引：2
作者：
Verschaeve, Joris C. G. [1 ]
机构：
[1] Norwegian Univ Sci & Technol, Dept Energy & Proc Engn, N-7491 Trondheim, Norway
来源：
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2011年 / 369卷 / 1944期
关键词：
lattice Boltzmann method; boundary condition; numerical accuracy; numerical stability; CLOSURE SCHEME; HYDRODYNAMICS;
D O I：
10.1098/rsta.2011.0045
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
By means of the continuity equation of the incompressible Navier-Stokes equations, additional physical arguments for the derivation of a formulation of the no-slip boundary condition for the lattice Boltzmann method for straight walls at rest are obtained. This leads to a boundary condition that is second-order accurate with respect to the grid spacing and conserves mass. In addition, the boundary condition is stable for relaxation frequencies close to two.
引用
收藏
页码：2184 / 2192
页数：9
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