Parallel Implicit Solution of Diffusion-limited Radiation Transport

William D. Gropp, Dinesh K. Kaushik, David E. Keyes, Barry F. Smith

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

We present simulations of diffusion-limited transport in an initi ally cold medium of two different materials subjected to an impulsive radiative load, using a Newton-Krylov-Schwarz solver. The spatial discretization employs Galerkin finite elements with linear piecewise continuous basis functions over simplices in 2D and 3D. Temporal integration is via a solution-adaptive implicit Euler method. The code shows excellent domain-decomposed scalability on the Teragrid, BlueGene, and System X platforms. Comparing implementations for this application with. opintensive residual evaluation, we observe that an analytical Jacobian gives better performance (in terms of the overall execution time to solution) than a Jacobianfree approach.

Original languageEnglish
Title of host publicationDomain Decomposition Methods in Science and Engineering XVI
EditorsOlof Widlund, David Keyes
Pages579-586
Number of pages8
Publication statusPublished - 1 Dec 2007

Publication series

NameLecture Notes in Computational Science and Engineering
Volume55
ISSN (Print)1439-7358

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ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

Cite this

Gropp, W. D., Kaushik, D. K., Keyes, D. E., & Smith, B. F. (2007). Parallel Implicit Solution of Diffusion-limited Radiation Transport. In O. Widlund, & D. Keyes (Eds.), Domain Decomposition Methods in Science and Engineering XVI (pp. 579-586). (Lecture Notes in Computational Science and Engineering; Vol. 55).