A COMPARATIVE STUDY OF FINITE VOLUME AND FINITE ELEMENT ON SOME TRANSCRITICAL FREE SURFACE FLOW PROBLEMS

DOI10.1142/S0219876208001522zbMath1257.76060MaRDI QIDQ4907699

Elmiloud Chaabelasri, Alistair G. L. Borthwick, Najim Salhi, Imad Elmahi, Fayssal Benkhaldoun, Farid Boushaba

Publication date: 21 February 2013

Published in: International Journal of Computational Methods (Search for Journal in Brave)

zbMATH Keywords

finite elementfinite volumeshallow watertranscritical flowLax-Wendroff schemeroe scheme

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Finite element methods applied to problems in fluid mechanics (76M10) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Uses Software

• TELEMAC

Cites Work

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• Approximate Riemann solvers, parameter vectors, and difference schemes
• Positivity preserving finite volume Roe schemes for transport-diffusion equations
• The solution of non-linear hyperbolic equation systems by the finite element method
• A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations
• Application de la méthode des éléments finis aux équations 2-D hyperboliques. Partie I: équation scalaire de convection
• Finite Volume Methods for Hyperbolic Problems
• Variable upwinding and adaptive mesh refinement in convection‐diffusion
• Systems of conservation laws
• A Method for the Numerical Calculation of Hydrodynamic Shocks

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