A grey transport acceleration method for time-dependent radiative transfer pro lems
A grey transport acceleration method for time-dependent radiative transfer pro lems
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DOI：
10.1016/0021-9991(88)90060-5
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发表时间：
1988-10
影响因子：
4.1
通讯作者：
E. Larsen
中科院分区：
文献类型：
--
作者：
E. Larsen
本文提出了一种求解含时多频辐射传输方程的新的迭代方法。该方法是适用于半隐式时间离散，产生一个线性稳态多频传输问题的伪散射在每个时间步长。标准的“lambda”迭代法往往收敛缓慢，这样的问题，和新的灰色运输加速（GTA）方法，加速lambda方法的基础上，采用灰色，或频率无关的运输方程，开发。GTA方法示出，理论上通过迭代傅立叶分析，并通过数值计算实验，收敛速度显着比λ方法。此外，GTA方法是概念上简单的实现一般差分格式，无论是欧拉或拉格朗日网格。
A new iterative method for solving the time-dependent multifrequency radiative transfer equations is described. The method is applicable to semi-implicit time discretizations that generate a linear steady-state multifrequency transport problem with pseudo-scattering within each time step. The standard “lambda” iteration method is shown to often converge slowly for such problems, and the new grey transport acceleration (GTA) method; based on accelerating the lambda method by employing a grey, or frequency-independent transport equation, is developed. The GTA method is shown, theoretically by an iterative Fourier analysis, and experimentally by numerical calculations, to converge significantly faster than the lambda method. In addition, the GTA method is conceptually simple to implement for general differencing schemes, on either Eulerian or Lagrangian meshes.