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Upwind and High-Resolution Schemes

  • Book
  • © 1997

Overview

Editors:
  1. M. Yousuff Hussaini

    1. Program in Computational Science & Engineering, Florida State University, Tallahassee, USA

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  2. Bram Leer

    1. Department of Aerospace Engineering, University of Michigan, Ann Arbor, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. John Rosendale

    1. ICASE, NASA Langley Research Center, Hampton, USA

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    You can also search for this editor in PubMed   Google Scholar

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Table of contents (23 chapters)

  1. Front Matter

    Pages I-X
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  2. ICASE and the History of High-Resolution Schemes

    1. ICASE and the History of High-Resolution Schemes

      • Bram van Leer
      Pages 1-7

  3. A Brief Introduction to High-Resolution Schemes

    1. A Brief Introduction to High-Resolution Schemes

      • Philip Roe
      Pages 9-28

  4. Riemann Solvers and Upwind Schemes

    1. Front Matter

      Pages 29-31
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    2. On The Relation Between The Upwind-Differencing Schemes Of Godunov, Engquist—Osher and Roe

      • Bram Van Leer
      Pages 33-52

    3. On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws

      • Amiram Harten, Peter D. Lax, Bram van Leer
      Pages 53-79

    4. Flux-Vector Splitting for the Euler Equation

      • Bram van Leer
      Pages 80-89

  5. Second-Order TVD Schemes

    1. Front Matter

      Pages 91-93
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    2. A Comparative Study of Computational Methods in Cosmic Gas Dynamics

      • G. D. van Albada, B. van Leer, W. W. Roberts Jr.
      Pages 95-103

    3. High Resolution Schemes and the Entropy Condition

      • Stanley Osher, Sukumar Chakravarthy
      Pages 104-133

    4. Convergence of Generalized Muscl Schemes

      • Stanley Osher
      Pages 134-148

    5. A Simplified TVD Finite Difference Scheme via Artificial Viscosity

      • Stephen F. Davis
      Pages 149-166

    6. On Central-Difference and Upwind Schemes

      • R. C. Swanson, Eli Turkel
      Pages 167-181

  6. Essentially Non-oscillatory Schemes

    1. Front Matter

      Pages 183-186
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    2. Uniformly High-Order Accurate Nonoscillatory Schemes. I

      • Ami Harten, Stanley Osher
      Pages 187-217

    3. Uniformly High Order Accurate Essentially Non-oscillatory Schemes, III

      • Ami Harten, Bjorn Engquist, Stanley Osher, Sukumar R. Chakravarthy
      Pages 218-290

    4. ENO Schemes with Subcell Resolution*

      • Ami Harten
      Pages 291-327

    5. Efficient Implementation of Essentially Non-oscillatory Shock-Capturing Schemes, II

      • Chi-Wang Shu, Stanley Osher
      Pages 328-374

    6. Essentially Nonoscillatory Spectral Fourier Methods for Shock Wave Calculations

      • Wei Cai, David Gottlieb, Chi-Wang Shu
      Pages 375-396

    7. Cell Averaging Chebyshev Methods for Hyperbolic Problems

      • Wei Cai, David Gottlieb, Ami Harten
      Pages 397-417
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Keywords

About this book

One of the major achievements in computational fluid dynamics has been the development of numerical methods for simulating compressible flows, combining higher-order accuracy in smooth regions with a sharp, oscillation-free representation of embedded shocks methods and now known as "high-resolution schemes". Together with introductions from the editors written from the modern vantage point this volume collects in one place many of the most significant papers in the development of high-resolution schemes as occured at ICASE.

Editors and Affiliations

  • Program in Computational Science & Engineering, Florida State University, Tallahassee, USA

    M. Yousuff Hussaini

  • Department of Aerospace Engineering, University of Michigan, Ann Arbor, USA

    Bram Leer

  • ICASE, NASA Langley Research Center, Hampton, USA

    John Rosendale

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