Lattice Boltzmann Model Using Two Relaxation Times for Shallow-Water Equations

被引：27

作者：

Peng, Y. ^{[1
]}

Zhang, J. M. ^{[1
]}

Zhou, J. G. ^{[1
,2
]}

机构：

[1] Sichuan Univ, State Key Lab Hydraul & Mt River Engn, Chengdu 610065, Peoples R China

[2] Univ Liverpool, Sch Engn, Liverpool L69 3GQ, Merseyside, England

来源：

JOURNAL OF HYDRAULIC ENGINEERING | 2016年 / 142卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Shallow-water flows; Lattice Boltzmann model; Two relaxation times; Numerical stability; LABSWE(TRT); FINITE-VOLUME MODEL; SOLUTE TRANSPORT; FLOW; DISPERSION; STABILITY; SIMULATIONS; ADVECTION; SCHEMES;

D O I：

10.1061/(ASCE)HY.1943-7900.0001065

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

A lattice Boltzmann method with two relaxation times for shallow-water equations (LABSWE(TRT)) without turbulence is proposed. The described model is validated through simulations of three typical cases with laminar flows: 1D steady flow over a bump, 2D unsteady dam-break flow, and flow around circular cylinder. Good agreement between prediction and analytical or experimental solutions are obtained. In addition, the performance of the LABSWETRT and the lattice Boltzmann method for shallow-water equations using a single relaxation time (LABSWE) is compared in detail. Studies have shown that the former is more stable than the latter for 2D cases. Different combinations of the two relaxation times are also studied and the optimized one is recommended for good numerical stability. This study demonstrates that the additional relaxation time in the LABSWETRT can improve the stability of simulations for laminar shallow flows using a procedure almost as simple as that in the LABSWE. (C) 2015 American Society of Civil Engineers.

引用

页数：6

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