Single-node second-order boundary schemes for the lattice Boltzmann method

JOURNAL OF COMPUTATIONAL PHYSICS

卷:329

Article

Zhao, Weifeng¹  Yong, Wen-An^1,2 

[1] Beijing Computat Sci Res Ctr, Beijing 100094, Peoples R China

[2] Tsinghua Univ, Zhou Pei Yuan Ctr Appl Math, Beijing 100084, Peoples R China

关键词: Lattice Boltzmann equations;    Boundary schemes;    Dirichlet boundary conditions;    Maxwell iteration;   

DOI  :  10.1016/j.jcp.2016.10.049

来源: Elsevier

【 摘 要 】

Based on our recently developed Maxwell iteration for the lattice Boltzmann method, we propose a class of single-node boundary schemes for Dirichlet boundary conditions of the Navier-Stokes equations. The schemes all have second-order accuracy for both straight and curved boundaries. The accuracy and stability of two specific schemes are examined through several numerical experiments. The results validate the second-order accuracy and show that a boundary scheme with a convex combination of distribution functions has better stability. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free