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A global strategy for solving reactive transport equations

Abstract : Reactive transport models are complex nonlinear Partial Differential Algebraic Equations (PDAE), coupling the transport engine with the geochemical operator. We propose an efficient and robust global numerical method, based on a method of lines and Differential Algebraic Equations (DAE) solvers, combined with a Newton method using a powerful sparse linear solver. Numerical experiments show the performances of the method. We also propose a unified framework to describe classical methods such as Sequential Non-Iterative Approach, Sequential Iterative Approach, Direct Substitution Approach and compare them with our global method
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Submitted on : Wednesday, February 16, 2011 - 4:27:15 PM
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Caroline de Dieuleveult, Jocelyne Erhel, Michel Kern. A global strategy for solving reactive transport equations. Journal of Computational Physics, Elsevier, 2009, 228 (17), pp.6395-6410. ⟨10.1016/⟩. ⟨hal-00566602⟩



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