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Finite Volumes for Complex Applications VI Problems & Perspectives

FVCA 6, International Symposium, Prague, June 6-10, 2011

  • Conference proceedings
  • © 2011

Overview

Editors:
  1. Jaroslav Fořt

    1. , Faculty of Mechanical Engineering, Czech Technical University, Prague, Czech Republic

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  2. Jiří Fürst

    1. , Faculty of Mechanical Engineering, Czech Technical University, Prague, Czech Republic

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  3. Jan Halama

    1. , Faculty of Mechanical Engineering, Czech Technical University, Prague, Czech Republic

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  4. Raphaèle Herbin

    1. LATP, Laboratoire d'Analyse, Probabilités et Topologie, Université Aix-Marseille, Marseille, France

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  5. Florence Hubert

    1. LATP, Laboratoire d'Analyse, Probabilités et Topologie, Université Aix-Marseille, Marseille, France

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  • Reviewed by interantional experts
  • Brings a critical look at the subject (new ideas, limits or drawbacks of methods, theoretical as well as applied topics)
  • Includes contributions by mathematicians, physicists and engineers dealing with Finite Volume Techniques in a wide context

Part of the book series: Springer Proceedings in Mathematics (PROM, volume 4)

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Table of contents (103 papers)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. Regular papers

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Volume-Agglomeration Coarse Grid In Schwarz Algorithm

      • H. Alcin, O. Allain, A. Dervieux
      Pages 3-11

    3. A comparison between the meshless and the finite volume methods for shallow water flows

      • Yasser Alhuri, Fayssal Benkhaldoun, Imad Elmahi, Driss Ouazar, Mohammed Seaïd, Ahmed Taik
      Pages 13-20

    4. Time Compactness Tools for Discretized Evolution Equations and Applications to Degenerate Parabolic PDEs

      • Boris Andreianov
      Pages 21-29

    5. Penalty Methods for the Hyperbolic System Modelling the Wall-Plasma Interaction in a Tokamak

      • Philippe Angot, Thomas Auphan, Olivier Guès
      Pages 31-38

    6. A Spectacular Vector Penalty-Projection Method for Darcy and Navier-Stokes Problems

      • Philippe Angot, Jean-Paul Caltagirone, Pierre Fabrie
      Pages 39-47

    7. Numerical Front Propagation Using Kinematical Conservation Laws

      • K. R. Arun, M. Lukáčová-Medvi’ová, P. Prasad
      Pages 49-57

    8. Preservation of the Discrete Geostrophic Equilibrium in Shallow Water Flows

      • E. Audusse, R. Klein, D. D. Nguyen, S. Vater
      Pages 59-67

    9. Arbitrary order nodal mimetic discretizations of elliptic problems on polygonal meshes

      • Lourenço Beirão da Veiga, Konstantin Lipnikov, Gianmarco Manzini
      Pages 69-77

    10. Adaptive cell-centered finite volume method for non-homogeneous diffusion problems: Application to transport in porous media

      • Fayssal Benkhaldoun, Amadou Mahamane, Mohammed Seaïd
      Pages 79-87

    11. A Generalized Rusanov method for Saint-Venant Equations with Variable Horizontal Density

      • Fayssal Benkhaldoun, Kamel Mohamed, Mohammed Seaïd
      Pages 89-96

    12. Hydrostatic Upwind Schemes for Shallow–Water Equations

      • Christophe Berthon, Françoise Foucher
      Pages 97-105

    13. Finite Volumes Asymptotic Preserving Schemes for Systems of Conservation Laws with Stiff Source Terms

      • C. Berthon, R. Turpault
      Pages 107-115

    14. Development of DDFV Methods for the Euler Equations

      • Christophe Berthon, Yves Coudière, Vivien Desveaux
      Pages 117-124

    15. Comparison of Explicit and Implicit Time Advancing in the Simulation of a 2D Sediment Transport Problem

      • M. Bilanceri, F. Beux, I. Elmahi, H. Guillard, M. V. Salvetti
      Pages 125-133

    16. Numerical Simulation of the Flow in a Turbopump Inducer in Non-Cavitating and Cavitating Conditions

      • M. Bilanceri, F. Beux, M. V. Salvetti
      Pages 135-143

    17. On Some High Resolution Schemes for Stably Stratified Fluid Flows

      • Tomáš Bodnár, Luděk Beneš
      Pages 145-153

    18. Convergence Analysis of the Upwind Finite Volume Scheme for General Transport Problems

      • Franck Boyer
      Pages 155-163

    19. A Low Degree Non–Conforming Approximation of the Steady Stokes Problem with an Eddy Viscosity

      • F. Boyer, F. Dardalhon, C. Lapuerta, J.-C. Latché
      Pages 165-173
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Keywords

About this book

Finite volume methods are used for various applications in fluid dynamics, magnetohydrodynamics, structural analysis or nuclear physics. A closer look reveals many interesting phenomena and mathematical or numerical difficulties, such as true error analysis and adaptivity, modelling of multi-phase phenomena or fitting problems, stiff terms in convection/diffusion equations and sources. To overcome existing problems and to find solution methods for future applications requires many efforts and always new developments. The goal of The International Symposium on Finite Volumes for Complex Applications VI is to bring together mathematicians, physicists and engineers dealing with Finite Volume Techniques in a wide context. This book, divided in two volumes, brings a critical look at the subject (new ideas, limits or drawbacks of methods, theoretical as well as applied topics).

Editors and Affiliations

  • , Faculty of Mechanical Engineering, Czech Technical University, Prague, Czech Republic

    Jaroslav Fořt, Jiří Fürst, Jan Halama

  • LATP, Laboratoire d'Analyse, Probabilités et Topologie, Université Aix-Marseille, Marseille, France

    Raphaèle Herbin, Florence Hubert

Bibliographic Information

  • Book Title: Finite Volumes for Complex Applications VI Problems & Perspectives

  • Book Subtitle: FVCA 6, International Symposium, Prague, June 6-10, 2011

  • Editors: Jaroslav Fořt, Jiří Fürst, Jan Halama, Raphaèle Herbin, Florence Hubert

  • Series Title: Springer Proceedings in Mathematics

  • DOI: https://doi.org/10.1007/978-3-642-20671-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2011

  • Hardcover ISBN: 978-3-642-20670-2Published: 21 July 2011

  • Softcover ISBN: 978-3-662-52075-8Published: 23 August 2016

  • eBook ISBN: 978-3-642-20671-9Published: 21 July 2011

  • Series ISSN: 2190-5614

  • Series E-ISSN: 2190-5622

  • Edition Number: 1

  • Number of Pages: XVII, 1065

  • Topics: Partial Differential Equations, Classical Mechanics

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