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High-Order Methods for Computational Physics

  • Book
  • © 1999

Overview

Editors:
  1. Timothy J. Barth

    1. Information Sciences Directorate, NASA Ames Research Center, Moffett Field, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Herman Deconinck

    1. Karman Institute for Fluid Dynamics, Sint-Genesius-Rode, Belgium

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    You can also search for this editor in PubMed   Google Scholar

  • A collection of surveys on a hot topic in CSE by top authors
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 9)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-VII
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  2. High Order Approximations for Compressible Fluid Dynamics on Unstructured and Cartesian Meshes

    • Rémi Abgrall, Thomas Sonar, Oliver Friedrich, Germain Billet
    Pages 1-67

  3. Discontinuous Galerkin Methods for Convection-Dominated Problems

    • Bernardo Cockburn
    Pages 69-224

  4. Adaptive Spectral Element Methods for Turbulence and Transition

    • Ronald D. Henderson
    Pages 225-324

  5. hp-FEM for Fluid Flow Simulation

    • Christoph Schwab
    Pages 325-438

  6. High Order ENO and WENO Schemes for Computational Fluid Dynamics

    • Chi-Wang Shu
    Pages 439-582

  7. Back Matter

    Pages 583-587
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Keywords

About this book

The development of high-order accurate numerical discretization techniques for irregular domains and meshes is often cited as one of the remaining chal­ lenges facing the field of computational fluid dynamics. In structural me­ chanics, the advantages of high-order finite element approximation are widely recognized. This is especially true when high-order element approximation is combined with element refinement (h-p refinement). In computational fluid dynamics, high-order discretization methods are infrequently used in the com­ putation of compressible fluid flow. The hyperbolic nature of the governing equations and the presence of solution discontinuities makes high-order ac­ curacy difficult to achieve. Consequently, second-order accurate methods are still predominately used in industrial applications even though evidence sug­ gests that high-order methods may offer a way to significantly improve the resolution and accuracy for these calculations. To address this important topic, a special course was jointly organized by the Applied Vehicle Technology Panel of NATO's Research and Technology Organization (RTO), the von Karman Institute for Fluid Dynamics, and the Numerical Aerospace Simulation Division at the NASA Ames Research Cen­ ter. The NATO RTO sponsored course entitled "Higher Order Discretization Methods in Computational Fluid Dynamics" was held September 14-18,1998 at the von Karman Institute for Fluid Dynamics in Belgium and September 21-25,1998 at the NASA Ames Research Center in the United States.

Editors and Affiliations

  • Information Sciences Directorate, NASA Ames Research Center, Moffett Field, USA

    Timothy J. Barth

  • Karman Institute for Fluid Dynamics, Sint-Genesius-Rode, Belgium

    Herman Deconinck

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