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GMRes Algorithm and Symmetric Gauss-Seidel Preconditioning Solver for 2-D Boltzmann Transport Equation

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Abstract

This paper describes a new algorithm to solve the neutron transport stationary equation in 2-D geometry. This algorithm is based on a splitting of the collision operator and an infinite dimensional adaptation of the GMRes method accelerated by a symmetric Gauss-Seidel preconditioning. The theoretical proof of the convergence and the numerical results are given in this work.

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Authors and Affiliations

  1. MIP, Université Paul Sabatier, 118, route de Narbonne, 31062, Toulouse 3, France

    Abdelkader Tizaoui

  2. Département Génie Biologique, IUT Paul Sabatier, Toulouse 3, 24, rue d’Ambaquès, 32000, Auch, France

    Abdelkader Tizaoui

  3. LMIA, Université de Haute-Alsase, 4, rue des frères Lumières, 68093, Mulhouse Cedex, France

    Abdelkader Tizaoui & Samir Akesbi

Authors
  1. Abdelkader Tizaoui
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  2. Samir Akesbi
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Correspondence to Abdelkader Tizaoui.

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Tizaoui, A., Akesbi, S. GMRes Algorithm and Symmetric Gauss-Seidel Preconditioning Solver for 2-D Boltzmann Transport Equation. J Fusion Energ 27, 225–232 (2008). https://doi.org/10.1007/s10894-008-9150-5

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  • DOI: https://doi.org/10.1007/s10894-008-9150-5

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