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Numerical Solution Of Subsidence Mound Problems In Porous Media, Peter Laurens Schuck

Digitized Theses

From the macroscopic equations of flow through a porous medium, a model is developed for the subsidence or decay of a mound of fluid over a horizontal impervious barrier. Three finite difference approaches are used to investigate the resulting moving boundary problem. In the first method, a coordinate transformation is used that fixes the toe or leading edge of the fluid location. The resulting problem is solved on a regular grid with interpolation near the moving boundary. In the second method, a coordinate transformation is employed that fixes the location of the entire boundary while in the third method, a …