| In this short course
we will start by deriving the relevant
equations for fluid flow and transport
in porous media, starting with mass
and momentum conservation for general
continuum and then specializing to
porous media. Then we will review
the basic ideas if finite difference
methods for partial differential equations.
We will do the same for finite elements,
finite volumes and methods based on
characteristics. We will apply these
methods to several problems in porous
media.
References:
[1] Jacob Bear, Dynamics of Fluids
in Porous Media, Dover Publications,
New York, 1988.
[2] Myron Allen et al., Numerical
Modeling in Science and Engineering,
John Wiley and Sons, New York, 1988.
[3] Peter Huyakorn and George Pinder,
Computational Methods in Subsurface
Flow, Academic Press, London, 1983.
[4] J. N. Reddy and D. K. Gartling,
The Finite Element Method in Heat
Transfer and Fluid Dynamics, CRC
Press, Boca Raton, 1994.
[5] Herbert Wang and Mary Anderson,
Introduction to Groundwater Modeling,
W. H. Freeman, San Francisco, 1982.
[6] Zhangxin Chen et al, Computational
Methods for Multiphase Flow in Porous
Media, SIAM, Philadelphia, 2006.
|
