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Theses

Simulations multidomaines des écoulements en milieu poreux

Abstract : This thesis is mainly concerned with the multidomain simulations of flow in porous media. Three different themes are considered. First, we study a domain decomposition method with non-matching meshes using Robin type interface conditions, for the mixed finite elements. Second, this method is implemented in parallel using the parallel system OcamlP3l, written in Ocaml by computer scientists. In OcamlP3l, the user develops and debugs sequentially, and obtains the parallel code with a mere recompilation. A realistic 3D simulation is given to validate the procedure. Finally, we present a new model for flow in a porous medium containing large fractures that may have very large and/or very small permeabilities. In this model, the fractures are treated as interfaces between subdomains. Existence and uniqueness of the solution is proved and an error estimate is obtained. Some numerical experiments show the quality of the results.
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https://tel.archives-ouvertes.fr/tel-00007142
Contributor : Vincent Martin <>
Submitted on : Monday, October 18, 2004 - 12:44:26 PM
Last modification on : Thursday, February 11, 2021 - 2:50:06 PM
Long-term archiving on: : Thursday, September 13, 2012 - 12:20:09 PM

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  • HAL Id : tel-00007142, version 1

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Vincent Martin. Simulations multidomaines des écoulements en milieu poreux. Mathématiques [math]. Université Paris Dauphine - Paris IX, 2004. Français. ⟨tel-00007142⟩

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