Initial and boundary conditions for the lattice Boltzmann method.
Initial and boundary conditions for the lattice Boltzmann method.
复制标题
DOI：
10.1103/physreve.48.4823
复制
发表时间：
1993-06
期刊：
影响因子：
--
通讯作者：
P. Skordos
中科院分区：
文献类型：
--
作者：
P. Skordos
提出了一种实现格子Boltzmann方法的初始和边界条件的替代方法。其基本思想是利用流体速度的梯度，从在边界节点处指定的流体变量计算在该节点处的晶格玻尔兹曼布居。格子玻尔兹曼方法的数值性能进行了测试的几个问题的精确解，并进行了比较，一个明确的有限差分投影方法。格子Boltzmann方法的离散误差随着空间和时间分辨率的提高而呈二次方下降。格子玻尔兹曼方法的圆度误差会产生问题，除非使用双精度算法。
An alternative approach of implementing initial and boundary conditions for the lattice Boltzmann method is presented. The basic idea is to calculate the lattice Boltzmann populations at a boundary node from the fluid variables that are specified at this node using the gradients of the fluid velocity. The numerical performance of the lattice Boltzmann method is tested on several problems with exact solutions and is also compared to an explicit finite-difference projection method. The discretization error of the lattice Boltzmann method decreases quadratically with finer resolution both in space and in time. The roundoff error of the lattice Boltzmann method creates problems unless double-precision arithmetic is used.