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
Pages579-586
Number of pages8
Volume55
Publication statusPublished - 2007
Externally publishedYes

Publication series

NameLecture Notes in Computational Science and Engineering
Volume55
ISSN (Print)14397358

Fingerprint

Euler's method
Piecewise continuous
Galerkin
Execution Time
Basis Functions
Scalability
Continuous Function
Discretization
Radiation
Finite Element
Evaluation
Simulation

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 Domain Decomposition Methods in Science and Engineering XVI (Vol. 55, pp. 579-586). (Lecture Notes in Computational Science and Engineering; Vol. 55).

Parallel Implicit Solution of Diffusion-limited Radiation Transport. / Gropp, William D.; Kaushik, Dinesh K.; Keyes, David E.; Smith, Barry F.

Domain Decomposition Methods in Science and Engineering XVI. Vol. 55 2007. p. 579-586 (Lecture Notes in Computational Science and Engineering; Vol. 55).

Research output: Chapter in Book/Report/Conference proceedingChapter

Gropp, WD, Kaushik, DK, Keyes, DE & Smith, BF 2007, Parallel Implicit Solution of Diffusion-limited Radiation Transport. in Domain Decomposition Methods in Science and Engineering XVI. vol. 55, Lecture Notes in Computational Science and Engineering, vol. 55, pp. 579-586.
Gropp WD, Kaushik DK, Keyes DE, Smith BF. Parallel Implicit Solution of Diffusion-limited Radiation Transport. In Domain Decomposition Methods in Science and Engineering XVI. Vol. 55. 2007. p. 579-586. (Lecture Notes in Computational Science and Engineering).
Gropp, William D. ; Kaushik, Dinesh K. ; Keyes, David E. ; Smith, Barry F. / Parallel Implicit Solution of Diffusion-limited Radiation Transport. Domain Decomposition Methods in Science and Engineering XVI. Vol. 55 2007. pp. 579-586 (Lecture Notes in Computational Science and Engineering).
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