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
相关论文
共 50 条
  • [1] Hessian-based anisotropic mesh adaptation in domains with discrete boundaries
    Vassilevski, YV
    Dyadechko, VG
    Lipnikov, KN
    RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2005, 20 (04) : 391 - 402
  • [2] On optimal simplicial 3D meshes for minimizing the Hessian-based errors
    Mesri, Y.
    Khalloufi, M.
    Hachem, E.
    APPLIED NUMERICAL MATHEMATICS, 2016, 109 : 235 - 249
  • [3] Efficient 3D mesh adaptation in diffusion simulation
    Chen, T
    Yergeau, DW
    Dutton, RW
    SISPAD '96 - 1996 INTERNATIONAL CONFERENCE ON SIMULATION OF SEMICONDUCTOR PROCESSES AND DEVICES, 1996, : 171 - 172
  • [4] Automation of Hessian-Based Tubularity Measure Response Function in 3D Biomedical Images
    Dzyubak, Oleksandr P.
    Ritman, Erik L.
    INTERNATIONAL JOURNAL OF BIOMEDICAL IMAGING, 2011, 2011
  • [5] Efficient computation of Hessian-based enhancement filters for tubular structures in 3D images
    Orlowski, P.
    Orkisz, M.
    IRBM, 2009, 30 (03) : 128 - 132
  • [6] Globally convergent nonlinear 3D inverse model for smart materials with Hessian-based optimization
    Tari, Hafez
    Dapino, Marcelo J.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2017, 318 : 864 - 881
  • [7] HESSIAN-BASED REGULARIZATION FOR 3-D MICROSCOPY IMAGE RESTORATION
    Lefkimmiatis, Stamatios
    Bourquard, Aurelien
    Unser, Michael
    2012 9TH IEEE INTERNATIONAL SYMPOSIUM ON BIOMEDICAL IMAGING (ISBI), 2012, : 1731 - 1734
  • [8] 3D anisotropic mesh adaptation by mesh modification
    Li, XR
    Shephard, MS
    Beall, MW
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (48-49) : 4915 - 4950
  • [9] Optimal 3D Highly Anisotropic Mesh Adaptation Based on the Continuous Mesh Framework
    Loseille, Adrien
    Alauzet, Frederic
    PROCEEDINGS OF THE 18TH INTERNATIONAL MESHING ROUNDTABLE, 2009, : 575 - +
  • [10] Parallel anisotropic 3D mesh adaptation by mesh modification
    Frédéric Alauzet
    Xiangrong Li
    E. Seegyoung Seol
    Mark S. Shephard
    Engineering with Computers, 2006, 21 : 247 - 258
12345