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Dr. Benito Chen-Charpentier - Course Description

Department of Mathematics
University of Wyoming
Laramie, Wyoming, USA

In this short course we will start by deriving the relevant equations for fluid flow in porous media, including mass and momentum conservation for general continuous media and then concreting to porous media. Then we will review the basic ideas of finite difference methods and apply them to porous media. We will do the same for finite elements. Time allowing, we will cover methods of characteristics and the finite volume method.

Jacob Bear, Dynamics of Fluids in Porous Media, Dover Publications, New York, 1988
Myron Allen et al., Numerical Modeling in Science and Engineering, John Wiley and Sons, New York, 1988.
Peter Huyakorn and George Pinder, Computational Methods in Subsurface Flow, Academic Press, London, 1983.
Zhangxin Chen, Finite Element Methods and Their Applications, Springer-Verlag, Heidelberg, 2005.