A 3D Lattice Boltzmann method for light simulation in participating media

被引：32

作者：

Mink, Albert ^{[1
]}

Thaeter, Gudrun ^{[2
]}

Nirschl, Hermann ^{[1
]}

Krause, Mathias J. ^{[1
,2
]}

机构：

[1] Karlsruhe Inst Technol, Inst Mech Proc Engn & Mech, Karlsruhe, Germany

[2] Karlsruhe Inst Technol, Inst Appl & Numer Math, Karlsruhe, Germany

来源：

JOURNAL OF COMPUTATIONAL SCIENCE | 2016年 / 17卷

关键词：

Radiation; Chapman-Enskog; Lattice Boltzmann; OpenLB; Grid convergence; HEAT-TRANSFER; TRANSPORT; EQUATION; RADIATION; ENCLOSURES; DIFFUSION; FLOWS;

D O I：

10.1016/j.jocs.2016.03.014

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In recent years, Lattice Boltzmann methods (LBM) have been extended to solve the radiative transport equation (RTE), which describes radiative transport through absorbing and scattering media. With the present work, a new approach for solving RTE by LBM, referred to as RTLBM, is proposed for D3 Q7 grids. Its derivation is strongly linked to the P1-method, which approximates the RTE by a macroscopic diffusion equation with an additional sink term. For the fist time, a comprehensive evaluation of an RTLBM is shown. First of all, it is shown by a Chapman-Enskog expansion, that the proposed RTLB equation solves the corresponding macroscopic target diffusion equation with additional sink term. Based on corresponding analytical solutions, a stringent and extensive numerical error analysis, with focus on grid convergence and grid independence, is presented. An experimental order of convergence of two is observed solving the steady-state diffusion equation with additional sink term. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：431 / 437

页数：7

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