Skip to Main content Skip to Navigation
Theses

Quelques méthodes numériques robustes pour l'écoulement et le transport en milieu poreux

Abstract : The aim of this thesis is to model and develop numerical tools adapted to study underground water flow and the propagation of pollutants in a porous medium. The main motivation of this work is a benchmark from GDR Momas and Andra to simulate the 3-D propagation of radionuclides around a deep disposal of nuclear waste. Firstly, we construct a new mixed finite elements method suitable for general hexahedral meshes. Convergence of the method is proved and shown in numerical experiments.
Secondly, we present a method of time dicretisation for the advection equation which allows for the use of different time steps in different subdomains in order to take into account of strong heterogeneities. Finally a numerical method for the calculation of the transport of contaminants is proposed. The techniques above were implemented in a 3-D code and simulation results are shown on the 3-D far field benchmark from GDR Momas and Andra.
Document type :
Theses
Complete list of metadatas

https://tel.archives-ouvertes.fr/tel-00284856
Contributor : Amel Sboui <>
Submitted on : Tuesday, June 3, 2008 - 6:38:29 PM
Last modification on : Friday, May 25, 2018 - 12:02:03 PM
Long-term archiving on: : Tuesday, September 18, 2012 - 12:11:30 PM

Identifiers

  • HAL Id : tel-00284856, version 1

Collections

Citation

Amel Sboui. Quelques méthodes numériques robustes pour l'écoulement et le transport en milieu poreux. Mathématiques [math]. Université Paris Dauphine - Paris IX, 2007. Français. ⟨tel-00284856⟩

Share

Metrics

Record views

617

Files downloads

2526