P1 Nonconforming Finite Element Method for the Solution of Radiation Transport Problems

Abstract

The simulation of radiation transport in the optically thick flux-limited diffusion regime has been identified as one of the most time-consuming tasks within large simulation codes. Due to multimaterial complex geometry, the radiation transport system must often be solved on unstructured grids. In this paper, we investigate the behavior and the benefits of the unstructured P sub 1 nonconforming finite element method, which has proven to be flexible and effective on related transport problems, in solving unsteady implicit nonlinear radiation diffusion problems using Newton and Picard linearization methods. Key words. nonconforrning finite elements, radiation transport, inexact Newton linearization, multigrid preconditioning

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 2002
Accession Number
ADA406878

Entities

People

  • Kab S. Kang

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Science
  • Databases
  • Differential Equations
  • Diffusion
  • Equations
  • Finite Element Analysis
  • Geometry
  • Linear Systems
  • Mathematics
  • Navier Stokes Equations
  • Nonlinear Systems
  • Partial Differential Equations
  • Radiation
  • Radiative Transfer
  • Simulations
  • Space Sciences
  • Transport Ships

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)