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Title: A Discrete Ordinates Algorithm for Radiation Transport Using Block-Structured Adaptive Mesh Refinement

Abstract

The discrete ordinates method is well-suited to implementation with block-structured adaptive mesh refinement (AMR). AMR meshes group points into logically-rectangular patches, and provide the benefits of adaptivity without sacrificing the efficiency and geometric regularity of regular grids. In particular, these meshes preserve the directional ordering of points required for explicit ordinate transport sweeps. A number of algorithmic issues must be addressed to make such a method practical. These include sequencing of ordinates and grids for parallel execution, simultaneous solution of the transport equation on multiple levels of the grid hierarchy, implicit coupling to the fluid energy, and conservation of energy in a time-dependent context where different grid levels advance with different timesteps. The author discusses these and other issues and present example calculations in two and three spatial dimensions.

Authors:
Publication Date:
Research Org.:
Lawrence Livermore National Lab., CA (US)
Sponsoring Org.:
US Department of Energy (US)
OSTI Identifier:
15003382
Report Number(s):
UCRL-JC-148857
TRN: US200431%%61
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Conference
Resource Relation:
Conference: Nuclear Explosives Code Developers Conference (NECDC), Monterey, CA (US), 10/21/2002--10/24/2002; Other Information: PBD: 3 Feb 2003
Country of Publication:
United States
Language:
English
Subject:
45 MILITARY TECHNOLOGY, WEAPONRY, AND NATIONAL DEFENSE; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; DIMENSIONS; DISCRETE ORDINATE METHOD; EFFICIENCY; IMPLEMENTATION; NUCLEAR EXPLOSIVES; RADIATION TRANSPORT; TRANSPORT

Citation Formats

Howell, L H. A Discrete Ordinates Algorithm for Radiation Transport Using Block-Structured Adaptive Mesh Refinement. United States: N. p., 2003. Web.
Howell, L H. A Discrete Ordinates Algorithm for Radiation Transport Using Block-Structured Adaptive Mesh Refinement. United States.
Howell, L H. Mon . "A Discrete Ordinates Algorithm for Radiation Transport Using Block-Structured Adaptive Mesh Refinement". United States. https://www.osti.gov/servlets/purl/15003382.
@article{osti_15003382,
title = {A Discrete Ordinates Algorithm for Radiation Transport Using Block-Structured Adaptive Mesh Refinement},
author = {Howell, L H},
abstractNote = {The discrete ordinates method is well-suited to implementation with block-structured adaptive mesh refinement (AMR). AMR meshes group points into logically-rectangular patches, and provide the benefits of adaptivity without sacrificing the efficiency and geometric regularity of regular grids. In particular, these meshes preserve the directional ordering of points required for explicit ordinate transport sweeps. A number of algorithmic issues must be addressed to make such a method practical. These include sequencing of ordinates and grids for parallel execution, simultaneous solution of the transport equation on multiple levels of the grid hierarchy, implicit coupling to the fluid energy, and conservation of energy in a time-dependent context where different grid levels advance with different timesteps. The author discusses these and other issues and present example calculations in two and three spatial dimensions.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2003},
month = {2}
}

Conference:
Other availability
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