Pollack Periodica
Volume/Issue:
Volume 19: Issue 1
A finite volume scheme for solving an alternative morphodynamic model with porosity
Author:
Abdelhafid Moumna Laboratory of Energetics, Department of Physics, Faculty of Sciences, Abdelmalek Essaadi University, Tetouan, Morocco

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https://orcid.org/0000-0002-3320-534X
Pages:
73–78
Online Publication Date:
04 Oct 2023
Publication Date:
22 Mar 2024
Article Category:
Research Article
DOI:
https://doi.org/10.1556/606.2023.00907
Keywords:
Saint-Venant equations; Exner equation; porous area; morphodynamic; finite volume method; Riemann solver
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Abstract

This work proposes an extended numerical scheme based on the finite volume method that is intended to solve a new morphodynamic model with porosity. The St-Venant equations and the Exner equation are coupled in this model, accounting for the variation of the porosity function ϕ(x,y). In the morphodynamic system, the Jacobian matrix's sign is taken into account when reconstructing the numerical fluxes using an improved Roe's approach to assure correct numerical computations.

  • [1]

    P. Finaud-Guyot, C. Delenne, J. Lhomme, V. Guinot, and C. Llovel, “An approximate-state Riemann solver for the two-dimensional shallow water equations with porosity,” Int. J. Numer. Methods Fluids, vol. 62, no. 12, pp. 1299–1331, 2010.

    • Search Google Scholar
    • Export Citation
  • [2]

    S. Soares-Frazão, J. Lhomme, V. Guinot, and Y. Zech, “Two-dimensional shallow-water model with porosity for urban flood modeling,” J. Hydraulic Res., vol. 46, no. 1, pp. 45–64, 2008.

    • Search Google Scholar
    • Export Citation
  • [3]

    V. Guinot, “Multiple porosity shallow water models for macrosc,” Adv. Water Resour., vol. 37, pp. 40–72, 2012.

  • [4]

    V. Guinot, C. Delenne, and S. Soares-Frazão, “Self-similar solutions of shallow water equations with porosity,” J. Hydraulic Res., vol. 61, no. 1, pp. 109–119, 2023.

    • Search Google Scholar
    • Export Citation
  • [5]

    L. Cea and M. E. Vázquez-Cendón, “Unstructured finite volume discretization of two-dimensional depth-averaged shallow water equations with porosity,” Int. J. Numer. Methods Fluids, vol. 63, no. 8, pp. 324–335, 2010.

    • Search Google Scholar
    • Export Citation
  • [6]

    F. Benkhaldoun, I. Elmahi, A. Moumna, and M. Seaid, “A non-homogeneous Riemann solver for shallow water equations in porous media,” Applicable Anal., vol. 95, no. 10, pp. 2181–2202, 2016.

    • Search Google Scholar
    • Export Citation
  • [7]

    A. Moumna, I. Kissami, I. Elmahi, and F. Benkhaldoun, “Application of an unstructured finite volume method to the shallow water equations with porosity for urban flood modeling,” in International Conference on Finite Volumes for Complex Applications ,Bergen, Norway, June 15–19, 2020, pp. 725–734.

    • Search Google Scholar
    • Export Citation
  • [8]

    S. Jelti and M. Boulerhcha, “Numerical modeling of two dimensional non-capacity model for sediment transport by an unstructured finite volume method with a new discretization of the source term,” Math. Comput. Simul., vol. 197, pp. 253–297, 2022.

    • Search Google Scholar
    • Export Citation
  • [9]

    G. Rosatti and L. Fraccarollo, “A well-balanced approach for flows over mobile-bed with high sediment-transport,” J. Comput. Phys., vol. 220, no. 1, pp. 312–338, 2006.

    • Search Google Scholar
    • Export Citation
  • [10]

    P. Tassi, S. Rhebergen, C. Vionnet, and O. Bokhove, “A discontinuous Galerkin finite element model for river bed evolution under shallow flows,” Comput. Methods Appl. Mech. Eng., vol. 197, nos 33–40, pp. 2930–2947, 2008.

    • Search Google Scholar
    • Export Citation
  • [11]

    D. Buček and M. Orfánus, “Assessment of river bed evolution with the aid of 2D hydrodynamic model with integrated sediment transport modeling capabilities,” Pollack Period., vol. 14, no. 1, pp. 129–138, 2019.

    • Search Google Scholar
    • Export Citation
  • [12]

    G. Hadi and J. Kriš, “A numerical model of flow in sedimentation tanks in Slovakia,” Pollack Period., vol. 3, no. 2, pp. 59–73, 2008.

    • Search Google Scholar
    • Export Citation
  • [13]

    L.A. Monthe, F. Benkhaldoun, and I. Elmahi, “Positivity preserving finite volume Roe: schemes for transport-diffusion equations,” Comput. Methods Appl. Mech. Eng., vol. 178, nos 3–4, pp. 215–232, 1999.

    • Search Google Scholar
    • Export Citation
  • [14]

    E. Kubatko, J. Westerink, and C. Dawson, “An unstructured grid morphodynamic model with a discontinuous Galerkin method for bed evolution,” Ocean Model., vol. 15, nos 1–2, pp. 71–89, 2006.

    • Search Google Scholar
    • Export Citation
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Cover Pollack Periodica
Pollack Periodica
Print ISSN:
1788-1994
Online ISSN:
1788-3911

Senior editors

Editor(s)-in-Chief: Iványi, Amália

Editor(s)-in-Chief: Iványi, Péter

 

Scientific Secretary

Miklós M. Iványi

Editorial Board

  • Bálint Bachmann (Institute of Architecture, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Jeno Balogh (Department of Civil Engineering Technology, Metropolitan State University of Denver, Denver, Colorado, USA)
  • Radu Bancila (Department of Geotechnical Engineering and Terrestrial Communications Ways, Faculty of Civil Engineering and Architecture, “Politehnica” University Timisoara, Romania)
  • Charalambos C. Baniotopolous (Department of Civil Engineering, Chair of Sustainable Energy Systems, Director of Resilience Centre, School of Engineering, University of Birmingham, U.K.)
  • Oszkar Biro (Graz University of Technology, Institute of Fundamentals and Theory in Electrical Engineering, Austria)
  • Ágnes Borsos (Institute of Architecture, Department of Interior, Applied and Creative Design, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Matteo Bruggi (Dipartimento di Ingegneria Civile e Ambientale, Politecnico di Milano, Italy)
  • Petra Bujňáková (Department of Structures and Bridges, Faculty of Civil Engineering, University of Žilina, Slovakia)
  • Anikó Borbála Csébfalvi (Department of Civil Engineering, Institute of Smart Technology and Engineering, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Mirjana S. Devetaković (Faculty of Architecture, University of Belgrade, Serbia)
  • Szabolcs Fischer (Department of Transport Infrastructure and Water Resources Engineering, Faculty of Architerture, Civil Engineering and Transport Sciences Széchenyi István University, Győr, Hungary)
  • Radomir Folic (Department of Civil Engineering, Faculty of Technical Sciences, University of Novi Sad Serbia)
  • Jana Frankovská (Department of Geotechnics, Faculty of Civil Engineering, Slovak University of Technology in Bratislava, Slovakia)
  • János Gyergyák (Department of Architecture and Urban Planning, Institute of Architecture, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Kay Hameyer (Chair in Electromagnetic Energy Conversion, Institute of Electrical Machines, Faculty of Electrical Engineering and Information Technology, RWTH Aachen University, Germany)
  • Elena Helerea (Dept. of Electrical Engineering and Applied Physics, Faculty of Electrical Engineering and Computer Science, Transilvania University of Brasov, Romania)
  • Ákos Hutter (Department of Architecture and Urban Planning, Institute of Architecture, Faculty of Engineering and Information Technolgy, University of Pécs, Hungary)
  • Károly Jármai (Institute of Energy and Chemical Machinery, Faculty of Mechanical Engineering and Informatics, University of Miskolc, Hungary)
  • Teuta Jashari-Kajtazi (Department of Architecture, Faculty of Civil Engineering and Architecture, University of Prishtina, Kosovo)
  • Róbert Kersner (Department of Technical Informatics, Institute of Information and Electrical Technology, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Rita Kiss  (Biomechanical Cooperation Center, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, Budapest, Hungary)
  • István Kistelegdi  (Department of Building Structures and Energy Design, Institute of Architecture, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Stanislav Kmeť (President of University Science Park TECHNICOM, Technical University of Kosice, Slovakia)
  • Imre Kocsis  (Department of Basic Engineering Research, Faculty of Engineering, University of Debrecen, Hungary)
  • László T. Kóczy (Department of Information Sciences, Faculty of Mechanical Engineering, Informatics and Electrical Engineering, University of Győr, Hungary)
  • Dražan Kozak (Faculty of Mechanical Engineering, Josip Juraj Strossmayer University of Osijek, Croatia)
  • György L. Kovács (Department of Technical Informatics, Institute of Information and Electrical Technology, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Balázs Géza Kövesdi (Department of Structural Engineering, Faculty of Civil Engineering, Budapest University of Engineering and Economics, Budapest, Hungary)
  • Tomáš Krejčí (Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Czech Republic)
  • Jaroslav Kruis (Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Czech Republic)
  • Miklós Kuczmann (Department of Automations, Faculty of Mechanical Engineering, Informatics and Electrical Engineering, Széchenyi István University, Győr, Hungary)
  • Tibor Kukai (Department of Engineering Studies, Institute of Smart Technology and Engineering, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Maria Jesus Lamela-Rey (Departamento de Construcción e Ingeniería de Fabricación, University of Oviedo, Spain)
  • János Lógó  (Department of Structural Mechanics, Faculty of Civil Engineering, Budapest University of Technology and Economics, Hungary)
  • Carmen Mihaela Lungoci (Faculty of Electrical Engineering and Computer Science, Universitatea Transilvania Brasov, Romania)
  • Frédéric Magoulés (Department of Mathematics and Informatics for Complex Systems, Centrale Supélec, Université Paris Saclay, France)
  • Gabriella Medvegy (Department of Interior, Applied and Creative Design, Institute of Architecture, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Tamás Molnár (Department of Visual Studies, Institute of Architecture, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Ferenc Orbán (Department of Mechanical Engineering, Institute of Smart Technology and Engineering, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Zoltán Orbán (Department of Civil Engineering, Institute of Smart Technology and Engineering, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Dmitrii Rachinskii (Department of Mathematical Sciences, The University of Texas at Dallas, Texas, USA)
  • Chro Radha (Chro Ali Hamaradha) (Sulaimani Polytechnic University, Technical College of Engineering, Department of City Planning, Kurdistan Region, Iraq)
  • Maurizio Repetto (Department of Energy “Galileo Ferraris”, Politecnico di Torino, Italy)
  • Zoltán Sári (Department of Technical Informatics, Institute of Information and Electrical Technology, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Grzegorz Sierpiński (Department of Transport Systems and Traffic Engineering, Faculty of Transport, Silesian University of Technology, Katowice, Poland)
  • Zoltán Siménfalvi (Institute of Energy and Chemical Machinery, Faculty of Mechanical Engineering and Informatics, University of Miskolc, Hungary)
  • Andrej Šoltész (Department of Hydrology, Faculty of Civil Engineering, Slovak University of Technology in Bratislava, Slovakia)
  • Zsolt Szabó (Faculty of Information Technology and Bionics, Pázmány Péter Catholic University, Hungary)
  • Mykola Sysyn (Chair of Planning and Design of Railway Infrastructure, Institute of Railway Systems and Public Transport, Technical University of Dresden, Germany)
  • András Timár (Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Barry H. V. Topping (Heriot-Watt University, UK, Faculty of Engineering and Information Technology, University of Pécs, Hungary)

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2023  
Scopus  
CiteScore 1.5
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2023  
Scopus  
CiteScore 1.5
CiteScore rank Q3 (Civil and Structural Engineering)
SNIP 0.849
Scimago  
SJR index 0.288
SJR Q rank Q3

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