Two-dimensional time dependent Riemann solvers for neutron transport
Two-dimensional time dependent Riemann solvers for neutron transport
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DOI：
10.1016/j.jcp.2005.04.011
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发表时间：
2005-11-20
影响因子：
4.1
通讯作者：
Holloway, JP
中科院分区：
文献类型：
--
作者：
Brunner, TA;Holloway, JP
建立了含时中子输运方程的球谐近似的二维Riemann求解器。研究了所得方程的本征结构，给出了球谐近似和黎曼解算器的见解。这里使用的经典Roe型Riemann求解器是针对一维问题而开发的，但通过以局部一维的方式处理二维计算单元的每个面，可以用于多维问题。几个测试问题被用来探索黎曼求解器和球谐近似的能力。对一个简单的线源问题的数值解与P方程的解析解和完整输运解进行了比较。用一个格子问题在一个更具挑战性的问题上测试了该方法。(C)2005 Elsevier Inc.保留所有权利。
A two-dimensional Riemann solver is developed for the spherical harmonics approximation to the time dependent neutron transport equation. The eigenstructure of the resulting equations is explored, giving insight into both the spherical harmonics approximation and the Riemann solver. The classic Roe-type Riemann solver used here was developed for one-dimensional problems, but can be used in multidimensional problems by treating each face of a two-dimensional computation cell in a locally one-dimensional way. Several test problems are used to explore the capabilities of both the Riemann solver and the spherical harmonics approximation. The numerical solution for a simple line source problem is compared to the analytic solution to both the P, equation and the full transport solution. A lattice problem is used to test the method on a more challenging problem. (c) 2005 Elsevier Inc. All rights reserved.