Unsteady Porous Flow with a Free Surface |
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Authors: | RASMUSSEN H; SALHANI D |
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Institution: |
Department of Applied Mathematics, University of Western Ontario London, Ontario, Canada N6A 5B9
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Abstract: | Three different numerical methods for solving unsteady two-dimensionalporous flow problems with a free surface are presented. Thevelocity potential is expressed as the solution to a variationalproblem which is solved by a Rayleigh-Ritz expansion, a Kantorovichexpansion and a co-ordinate transformation method. The freesurface equation is solved by a Crank-Nicolson procedure. Thethree methods were tested on the same set of problems and theobtained results are virtually identical. |
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