广西师范大学学报（自然科学版） ›› 2020, Vol. 38 ›› Issue (1): 70-78.doi: 10.16088/j.issn.1001-6600.2020.01.009

• • 上一篇    下一篇

LBM中基于半程反弹的统一边界条件研究

凌风如, 张超英, 陈燕雁, 覃章荣*   

  1. 广西师范大学广西多源信息挖掘与安全重点实验室,广西桂林541004
  • 收稿日期:2018-12-06 出版日期:2020-01-25 发布日期:2020-01-15
  • 通讯作者: 覃章荣(1979—),男,广西桂林人,广西师范大学副教授。E-mail: qinzhangrong@gxnu.edu.cn
  • 基金资助:
    国家自然科学基金(11462003, 11862003);广西自然科学基金(2017GXNSFDA198038);广西自然科学基金(2018JJA110023);广西师范大学研究生创新项目(JXYJSKT-2019-007)

A Unified Boundary Condition Based on the Halfway Bounce-back Scheme in Lattice Boltzmann Method

LING Fengru, ZHANG Chaoying, CHEN Yanyan, QIN Zhangrong*   

  1. Guangxi Key Lab of Multi-Source Information Mining and Security, Guangxi Normal University,Guilin Guangxi 541004, China
  • Received:2018-12-06 Online:2020-01-25 Published:2020-01-15

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摘要： 格子Boltzmann方法能够有效地模拟复杂流场的流体流动,边界处理方法的选择对于模拟结果的可靠与否起着至关重要的作用。本文基于半程反弹原理对插值格式的曲线边界条件进行改进,提出一种统一的曲线边界处理新方法,并与格子Boltzmann模拟中常用的几种曲线边界条件做了对比研究。模拟结果显示该方法的计算结果与理论解精确吻合。该方法提高了复杂边界的计算精度和数值稳定性,同时满足质量守恒约束,解决了曲线边界条件中常见的质量流失问题。

关键词: 格子Boltzmann方法, 数值模拟, 曲线边界条件, 统一边界条件, 半程反弹

Abstract: The lattice Boltzmann method can effectively simulate the fluid flow in complex flow fields. However, the reliability of the simulation results strongly depends on the selected boundary treatment methods. Based on the halfway bounce-back scheme, a unified treatment for the curved wall is proposed by improving the curved boundary condition scheme of interpolation. Results from tests are in good agreement with the exact solutions. Compared with several curved boundary condition schemes commonly used in lattice Boltzmann simulation, this method exhibits high accuracy and numerical stability of the complex boundary. The novel method provides a reliable way to solve the common problem of mass leakage in the curved boundary condition, satisfying the mass conservation constraint.

Key words: lattice Boltzmann method, numerical simulation, curved boundary condition, unified boundary condition, halfway bounce-back scheme

中图分类号: 

  • O35
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