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A multigrid discrete-ordinates solution for isotropic transport equation

  1. Mohammed Seaïd*

Article first published online: 13 DEC 2004

DOI: 10.1002/pamm.200410228

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PAMM

PAMM

Volume 4, Issue 1, pages 494–495, December 2004

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How to Cite

Seaïd, M. (2004), A multigrid discrete-ordinates solution for isotropic transport equation. Proc. Appl. Math. Mech., 4: 494–495. doi: 10.1002/pamm.200410228

Author Information

  1. Fachbereich Mathematik, TU Darmstadt, 64289 Darmstadt, Germany

*Phone: +49 6151 16 4482, Fax: +49 6151 16 4424

Publication History

  1. Issue published online: 13 DEC 2004
  2. Article first published online: 13 DEC 2004

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Abstract

We propose a robust multigrid solver for the isotropic transport equation in three space dimensions. Discrete-ordinates and Galerkin method are used for angle and space discretizations, respectively. The fully discrete problem is formulated as a compact linear system of algebraic equations with a dense iterate matrix. Using a hierarchy of nested meshes our multigrid algorithm employes the Atkinson-Brakhage approximate inverse as a smoother while a Krylov subspace method is used to solve the coarse problem. Numerical results and comparisons are shown for a transport problem with thermal source. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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