A simple Hessian-based 3D mesh adaptation technique with applications to the multigroup diffusion equations

被引：15
|
作者：
Ragusa, Jean C. [1 ]
机构：
[1] Texas A&M Univ, Dept Nucl Engn, College Stn, TX 77843 USA
来源：
ANNALS OF NUCLEAR ENERGY | 2008年 / 35卷 / 11期
关键词：
Partial differential equations - Diffusion;
D O I：
10.1016/j.anucene.2008.06.008
中图分类号：
TL [原子能技术]; O571 [原子核物理学];
学科分类号：
0827 ; 082701 ;
摘要：
A simple error estimation and mesh adaptation procedure is proposed for the multigroup multi-dimensional diffusion equations. The procedure estimates the values of the second-order derivatives of the current numerical solution to drive the mesh refinement. Different spatial meshes are obtained for each component of the multigroup flux in order to follow the physics appropriately. This requires the proper handling of the group coupling terms arising in the multigroup diffusion equations. Results are presented in 2D and 3D. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2006 / 2018
页数：13
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