Krylov methods applied to reactive transport models

Jocelyne Erhel 1
1 FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences
IRMAR - Institut de Recherche Mathématique de Rennes, IRSTEA - Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture, Inria Rennes – Bretagne Atlantique
Abstract : Reactive transport models couple advection dispersion equations with chemistry equations. If the reactions are at thermodynamic equilibrium, then the system is a set of partial differential and algebraic equations. After space and implicit time discretizations, a nonlinear system of equations must be solved at each time step. The Jacobian matrix of the nonlinear system can be written with a Kronecker product coupling transport and chemistry. Krylov methods are well-suited to solve such linear systems because the matrix vector product can be done efficiently. The main challenge is to design a preconditioning matrix. We propose here to use the special structure of the matrix. Preliminary experiments show that Krylov methods are much more efficient than a direct method which does not use the coupled structure.
Type de document :
Communication dans un congrès
SIAM Conference on Mathematical and Computational Issues in the Geosciences, Sep 2017, Erlangen, Germany. 2017
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https://hal.inria.fr/hal-01646268
Contributeur : Jocelyne Erhel <>
Soumis le : jeudi 23 novembre 2017 - 13:51:40
Dernière modification le : vendredi 16 novembre 2018 - 01:26:57

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  • HAL Id : hal-01646268, version 1

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Jocelyne Erhel. Krylov methods applied to reactive transport models. SIAM Conference on Mathematical and Computational Issues in the Geosciences, Sep 2017, Erlangen, Germany. 2017. 〈hal-01646268〉

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