Mathematical Model of Shallow Water Flow over Porous Media

作者: Ali Osman Akan , Ben Chie Yen

DOI: 10.1061/JYCEAJ.0005650

关键词: GeologyMechanicsVertical directionConservation of massGeotechnical engineeringSubsurface flowFlow (mathematics)Porous mediumFluid dynamicsMathematical modelTwo-dimensional flow

摘要: A conjunctive mathematical model for a surface-subsurface flow system is developed. The unsteady surface explored by set of one-dimensional dynamic wave equations shallow water, which are solved using four-point implicit finite-difference scheme. transient subsurface two-dimensional, with potential gradients in the vertical direction as well direction. porous medium may be saturated or unsaturated both, and it can nonhomogeneous anisotropic. equation employing successive line over-relaxation components coupled at ground considering mass conservation pressure relationships. verified existing experimental data analytical solutions special cases.

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