Date of Award
8-2010
Document Type
Thesis
Degree Name
Master of Science (MS)
Legacy Department
Applied Mathematics
Committee Chair/Advisor
Sun, Shuyu
Committee Member
Ervin , Vincent J
Committee Member
Jenkins , Eleanor W
Abstract
A mathematical model for contaminant species passing through fractured porous media is presented. In the numerical model, we combine two locally conservative methods, i.e. mixed finite element (MFE) and the finite volume methods. Adaptive triangle mesh is used for effective treatment of the fractures. A hybrid MFE method is employed to provide an accurate approximation of velocities field for both the fractures and matrix which are crucial to the convection part of the transport equation. The finite volume method and the standard MFE method are used to approximate the convection and dispersion terms respectively. Numerical examples in different fractured media illustrate the robustness and efficiency of the proposed numerical model.
Recommended Citation
Dong, Chen, "Numerical Modeling of Contaminant Transport in Fractured Porous Media using Mixed Finite Element and Finite Volume Methods" (2010). All Theses. 951.
https://open.clemson.edu/all_theses/951