论文标题
非线性迭代投影方法，具有光子频率的多族速度用于热辐射转移
Nonlinear Iterative Projection Methods with Multigrid in Photon Frequency for Thermal Radiative Transfer
论文作者
论文摘要
本文介绍了基本热辐射转移（TRT）模型的非线性迭代方法，这些模型由时间依赖性的多频辐射传递（RT）方程和材料能量平衡（MEB）方程定义。迭代方法基于非线性投影方法，并在光子频率中使用多个网格。它们是由高阶RT方程在给定网格上的光子频率和低阶矩方程在频率网格层次结构上配制的。从MEB方程的最低维度的子空间中评估了材料温度，该材料温度耦合到有效的灰色低阶方程。该算法应用各种多族循环访问频率网格。给出了数值结果，以证明在大量光子频率组的TRT问题中多族迭代算法的收敛性。
This paper presents nonlinear iterative methods for the fundamental thermal radiative transfer (TRT) model defined by the time-dependent multifrequency radiative transfer (RT) equation and the material energy balance (MEB) equation. The iterative methods are based on the nonlinear projection approach and use multiple grids in photon frequency. They are formulated by the high-order RT equation on a given grid in photon frequency and low-order moment equations on a hierarchy of frequency grids. The material temperature is evaluated in the subspace of the lowest dimensionality from the MEB equation coupled to the effective grey low-order equations. The algorithms apply various multigrid cycles to visit frequency grids. Numerical results are presented to demonstrate convergence of the multigrid iterative algorithms in TRT problems with large number of photon frequency groups.
