Parallel sweep-based preconditioner for the solution of the linear Boltzmann transport equation
Parallel sweep-based preconditioner for the solution of the linear Boltzmann transport equation
复制标题
用于求解线性玻尔兹曼输运方程的并行扫描预处理器
DOI：
10.1016/j.compfluid.2013.09.027
复制
发表时间：
2013
影响因子：
2.8
通讯作者：
A. Oliva
中科院分区：
文献类型：
--
作者：
R. Borrell;G. Colomer;O. Lehmkuhl;I. Rodríguez;A. Oliva
在辐射传热学的背景下，求解了具有反射边界的各向同性散射介质的玻耳兹曼输运方程。在这种情况下，角通量的不同坐标是相互耦合的。在这里，我们探索使用基于并行扫描的块对角预处理器作为GMRES求解器在离散化矩阵(包括所有坐标间耦合)的求解上的补充。与标准源迭代格式相比，该方法的有效性在很大的耦合参数范围内得到了成功的评估。
The Boltzmann transport equation is solved in the context of radiative heat transfer, for an isotropically scattering medium with reflecting boundaries. Under these circumstances, the different ordinates of the angular flux are mutually coupled. We explore here the use of a parallel sweep-based block diagonal preconditioner as a complement of the GMRES solver on the solution of the discretization matrix (which includes all the inter-ordinate couplings). The validity of this approach, when compared to the standard source iteration scheme, is successfully assessed for a significant range of the coupling parameters.