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Finite element modeling of free surface flow in variable porosity media
Larese De Tetto, Antonia; Rossi, Riccardo; Oñate Ibáñez de Navarra, Eugenio
Universitat Politècnica de Catalunya. Departament de Resistència dels Materials i Estructures en Enginyeria; Universitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus
The aim of the present work is to present an overview of some numerical procedures for the simulation of free surface flows within a porous structure. A particular algorithm developed by the authors for solving this type of problems is presented. A modified form of the classical Navier–Stokes equations is proposed, with the principal aim of simulating in a unified way the seepage flow inside rockfill-like porous material and the free surface flow in the clear fluid region. The problem is solved using a semi-explicit stabilized fractional step algorithm where velocity is calculated using a 4th order Runge–Kutta scheme. The numerical formulation is developed in an Eulerian framework using a level set technique to track the evolution of the free surface. An edge-based data structure is employed to allow an easy OpenMP parallelization of the resulting finite element code. The numerical model is validated against laboratory experiments on small scale rockfill dams and is compared with other existing methods for solving similar problems.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
Àrees temàtiques de la UPC::Física::Física de fluids
Finite element method--Mathematical models
Porous materials--Fluid dynamics
Seepage into porous media Non linear resistance law Seepage in rockfill Semi-explicit fractional step Non linear Darcy Level set Free surface fllows
Materials porosos -- Dinàmica de fluids
Elements finits, Mètode dels
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