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High Order Nonlinear Numerical Schemes for Evolutionary PDEs

Proceedings of the European Workshop HONOM 2013, Bordeaux, France, March 18-22, 2013

  • Conference proceedings
  • © 2014

Overview

Editors:
  1. Rémi Abgrall

    1. Institute of Mathematics, University of Zurich, Zurich, Switzerland

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  2. Héloïse Beaugendre

    1. INRIA and Institut Polytechnique de Bordeaux, Institut de Mathématiques de Bordeaux, Talence, France

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  3. Pietro Marco Congedo

    1. INRIA, Institut de Mathématiques de Bordeaux, Talence, France

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  4. Cécile Dobrzynski

    1. INRIA and Institut Polytechnique de Bordeaux, Institut de Mathématiques de Bordeaux, Talence, France

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  5. Vincent Perrier

    1. INRIA, Laboratoire de Mathématiques et de leurs Applications, Pau, France

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  6. Mario Ricchiuto

    1. INRIA, Institut de Mathématiques de Bordeaux, Talence, France

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Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 99)

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Table of contents (11 papers)

  1. Front Matter

    Pages i-xi
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  2. High–Order Asymptotic–Preserving Methods for Nonlinear Relaxation from Hyperbolic Systems to Convection–Diffusion Equations

    • Sebastiano Boscarino, Giovanni Russo
    Pages 1-13

  3. A Hybrid Finite Difference-WENO Scheme for Large Eddy Simulation of Compressible Flows

    • Anne Burbeau-Augoula
    Pages 15-36

  4. Finite Volume Formulation of a Third-Order Residual-Based Compact Scheme for Unsteady Flow Computations

    • Karim Grimich, Bertrand Michel, Paola Cinnella, Alain Lerat
    Pages 37-58

  5. Parallel Implementation of k-Exact Finite Volume Reconstruction on Unstructured Grids

    • Florian Haider, Pierre Brenner, Bernard Courbet, Jean-Pierre Croisille
    Pages 59-75

  6. 3D Application of Higher Order Multigrid Algorithms for a RANS-kω DG-Solver

    • Marcel Wallraff, Tobias Leicht
    Pages 77-88

  7. Taylor Expansion Method for Linear Lattice Boltzmann Schemes with an External Force: Application to Boundary Conditions

    • François Dubois, Pierre Lallemand, Mohamed Mahdi Tekitek
    Pages 89-107

  8. High Order SFV and Mixed SDG/FV Methods for the Uncertainty Quantification in Multidimensional Conservation Laws

    • Svetlana Tokareva, Christoph Schwab, Siddhartha Mishra
    Pages 109-133

  9. High-Order Discontinuous Galerkin Solution of Unsteady Flows by Using an Advanced Implicit Method

    • Alessandra Nigro, Carmine De Bartolo, Francesco Bassi, Antonio Ghidoni
    Pages 135-149

  10. Detecting Edges in High Order Methods for Hyperbolic Conservation Laws

    • Martina Wirz
    Pages 151-167

  11. A Comparison of Analytical Solutions of a High-Order RBC Scheme and Its Equivalent Differential Equation for a Steady Shock Problem

    • Alain Lerat
    Pages 169-183

  12. Discontinuous Galerkin Method and Applications to Fluid-Structure Interaction Problems

    • Miloslav Feistauer, Jan Česenek, Martin Hadrava, Jaromír Horáček, Adam Kosík
    Pages 185-208

  13. Back Matter

    Pages 209-215
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Keywords

About this book

This book collects papers presented during the European Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs (HONOM 2013) that was held at INRIA Bordeaux Sud-Ouest, Talence, France in March, 2013. The central topic is high order methods for compressible fluid dynamics. In the workshop, and in this proceedings, greater emphasis is placed on the numerical than the theoretical aspects of this scientific field.

The range of topics is broad, extending through algorithm design, accuracy, large scale computing, complex geometries, discontinuous Galerkin, finite element methods, Lagrangian hydrodynamics, finite difference methods and applications and uncertainty quantification. These techniques find practical applications in such fields as fluid mechanics, magnetohydrodynamics, nonlinear solid mechanics, and others for which genuinely nonlinear methods are needed.

Editors and Affiliations

  • Institute of Mathematics, University of Zurich, Zurich, Switzerland

    Rémi Abgrall

  • INRIA and Institut Polytechnique de Bordeaux, Institut de Mathématiques de Bordeaux, Talence, France

    Héloïse Beaugendre, Cécile Dobrzynski

  • INRIA, Institut de Mathématiques de Bordeaux, Talence, France

    Pietro Marco Congedo, Mario Ricchiuto

  • INRIA, Laboratoire de Mathématiques et de leurs Applications, Pau, France

    Vincent Perrier

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