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Erschienen in:
2004 | OriginalPaper | Buchkapitel
Flow Through Porous Media
Erschienen in: Mathematical Modelling
Verlag: Springer Netherlands
Enthalten in: Professional Book Archive
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A rectangular plate with fixed boundary conditions is an ideal context for demonstrating how elliptic PDEs can be solved numerically. However, more realistic problems involve geometries with irregular shape. This project considers the flow of liquid through porous media. The geometry to be considered involves a rectangular region with an irregular edge. Values of the head and its partial derivatives are specified on the boundary of the region. A mathematical model is formulated after making some simplifying assumptions. Numerical methods are then used to solve the governing Laplace’s equation and including irregular boundary conditions. Consequently numerical results are obtained for the distribution of the head by using MATLAB.