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Numerical solution of steady-state flow through a porous dam. (English) Zbl 0626.76098
A new numerical method is used to solve a classical stationary free boundary problem: the flow through a porous dam. First, the steady-state equation is transformed into an evolution problem equivalent to the original formulation and then we solve this by combining the method of characteristics and the finite element method. The solution of the nonlinear discretized problem is obtained by using a duality iterative algorithm. Finally, numerical results for general geometries are presented.

76S05 Flows in porous media; filtration; seepage
76M99 Basic methods in fluid mechanics
Full Text: DOI
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