带外力项的iDdQ(q-1)多松弛格子Boltzmann模型

doi:10.19596/j.cnki.1001-246x.8138

计算物理 ›› 2020, Vol. 37 ›› Issue (5): 551-561.DOI: 10.19596/j.cnki.1001-246x.8138

带外力项的iDdQ(q-1)多松弛格子Boltzmann模型

朱俏俐, 张文欢

宁波大学数学与统计学院, 浙江宁波 315211

收稿日期:2019-09-16 修回日期:2019-12-12 出版日期:2020-09-25 发布日期:2020-09-25
通讯作者: 张文欢(1986-),男,汉,博士,讲师,硕士生导师,研究方向为复杂流动的格子Boltzmann建模及仿真,E-mail:zhangwenhuan@nbu.edu.cn
作者简介:朱俏俐(1995-),女,汉,硕士研究生,E-mail:782528513@qq.com
基金资助:
浙江省自然科学青年基金（Q16A020001）、浙江省教育厅科研基金（Y201533808）及宁波大学王宽城幸福基金资助项目

An iDdQ(q-1) Multiple-relaxation-time Lattice Boltzmann Model with External Force

ZHU Qiaoli, ZHANG Wenhuan

School of Mathematics and Statistics, Ningbo University, Ningbo, Zhejiang 315211, China

Received:2019-09-16 Revised:2019-12-12 Online:2020-09-25 Published:2020-09-25

摘要/Abstract

摘要： 以3维14速（iD3Q14）多松弛格子Boltzmann（MRT LB）模型为例，在iDdQ（q-1）MRT LB模型的基础上，采用多尺度展开和反向设计法构造出带外力项的iDdQ（q-1）MRT LB模型，该模型在低Mach数的假设下可恢复到带外力项的不可压Navier-Stokes方程.通过对三维方形管道内泊肃叶流、脉动流以及二维Taylor涡衰减流的模拟发现，数值结果与解析解吻合很好，并且空间精度达到二阶，从而验证了新模型模拟外力驱动的稳态和非稳态不可压流动的有效性.

关键词: 带外力项的3维14速模型, 反向设计法, 泊肃叶流, 方形管道内脉动流, 二维Taylor涡衰减流

Abstract: An iDdQ(q-1) MRT LB model with external force term is proposed with multi-scale expansion and inverse design method. It recovers to incompressible Navier-Stokes equation with external force term under low Mach number assumption. With simulations of Poiseuille flow, pulsatile flow in a three-dimensional square channel, and two-dimensional Taylor vortex flow in a square box, it is found that numerical results are in good agreement with analytical solutions. In addition, spatial accuracy of the model reaches second order, which verifies effectiveness of the model in simulating steady and unsteady incompressible flows driven by external forces.

Key words: 3-dimensional 14-velocity model with external force, inverse design, Poiseuille flow, pulsatile flow in a square channel, 2-dimensional Taylor vortex flow

中图分类号:

O357.1

朱俏俐, 张文欢. 带外力项的iDdQ(q-1)多松弛格子Boltzmann模型[J]. 计算物理, 2020, 37(5): 551-561.

ZHU Qiaoli, ZHANG Wenhuan. An iDdQ(q-1) Multiple-relaxation-time Lattice Boltzmann Model with External Force[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(5): 551-561.

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带外力项的iDdQ(q-1)多松弛格子Boltzmann模型

An iDdQ(q-1) Multiple-relaxation-time Lattice Boltzmann Model with External Force

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