Parallel adaptive multigrid algorithm for 2-D 3-T diffusion equations

M. O. Zeyao*, Shen Longjun, Gabriel Wittum

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

Two-dimensional diffusion equations coupled with electron, ion and photon temperatures are widely used to approximately describe the radiation evolution of energy across multiple materials and perceive the exchange of energy among electrons, ions and photons for numerical researches on laser-driven implosion of a fuel capsule in inertial confinement fusion experiments. The numerical solution of such equations is always fascinating because of its strong nonlinear phenomena and strong discontinuous interfaces. On the basis of UG framework, this article successfully solves such equations on two-dimensional unstructured grid applied with full implicit finite volume discrete scheme and parallel adaptive multigrid algorithm. Significant numerical results are given and analyzed.

Original languageEnglish (US)
Pages (from-to)361-374
Number of pages14
JournalInternational Journal of Computer Mathematics
Volume81
Issue number3
DOIs
StatePublished - Mar 1 2004

Keywords

  • 3-T diffusion equations
  • Parallel adaptive multigrid algorithm
  • UG framework
  • Unstructured grid

ASJC Scopus subject areas

  • Applied Mathematics

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