Peng Y, Shu C, Chew Y T, Inamuro T
Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore.
Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Jan;69(1 Pt 2):016703. doi: 10.1103/PhysRevE.69.016703. Epub 2004 Jan 30.
A lattice kinetic scheme was developed for the incompressible viscous thermal flows on arbitrary meshes. The work was based on the lattice kinetic scheme proposed by Inamuro and the technique of Taylor series expansion- and least-square-based lattice Boltzmann method (TLLBM). Compared with the lattice Boltzmann method, the lattice kinetic scheme can save the computer memory since there is no need to store the density distributions. The implementation of the boundary condition is direct and just the same as the convectional Navier-Stokes solvers. By using the idea of TLLBM, the lattice kinetic scheme can be applied on arbitrary meshes, which makes this scheme suitable for practical applications. In order to validate this lattice kinetic scheme used on arbitrary meshes, numerical simulations of the natural convection in a square cavity and the natural convection in a concentric annulus between an outer square cylinder and an inner circular cylinder are carried out, and the results are compared very well with available data in the literature.
针对任意网格上的不可压缩粘性热流，开发了一种格子动力学格式。这项工作基于稻室提出的格子动力学格式以及基于泰勒级数展开和最小二乘法的格子玻尔兹曼方法（TLLBM）。与格子玻尔兹曼方法相比，格子动力学格式可以节省计算机内存，因为无需存储密度分布。边界条件的实现直接，与传统的纳维-斯托克斯求解器相同。通过采用TLLBM的思想，格子动力学格式可以应用于任意网格，这使得该格式适用于实际应用。为了验证这种用于任意网格的格子动力学格式，对方腔内的自然对流以及外方柱与内圆柱之间同心环空内的自然对流进行了数值模拟，结果与文献中的现有数据进行了很好的比较。
