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Archives of Computational Methods in Engineering

, Volume 22, Issue 4, pp 637–653 | Cite as

Finite Element Modeling of Free Surface Flow in Variable Porosity Media

  • Antonia LareseEmail author
  • Riccardo Rossi
  • Eugenio Oñate
Original Paper

Abstract

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.

Keywords

Porous Medium Fractional Step Free Surface Flow Mixed Finite Element Method Coastal Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

The research was supported by the FP7-Capacities ULITES project GA-314891 and ERC Advance Grant SAFECON project AdG-267521. The authors wants to acknowledge Prof. Miguel Angel Toledo, Dr. Rafa Moran and Mr. Hibber Campos of the Technical University of Madrid (UPM), Mr. Angel Lara and Mrs. Pilar Viña of CEDEX for the experimental results provided for this work.

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Copyright information

© CIMNE, Barcelona, Spain 2014

Authors and Affiliations

  • Antonia Larese
    • 1
    • 2
    Email author
  • Riccardo Rossi
    • 1
    • 2
  • Eugenio Oñate
    • 1
    • 2
  1. 1.Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE)BarcelonaSpain
  2. 2.Universitat Politècnica de Catalunya, UPC Barcelona TechBarcelonaSpain

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