Spectral Methods in Fluid Dynamics

  • Claudio Canuto
  • M. Yousuff Hussaini
  • Alfio Quarteroni
  • Thomas A. ZangJr.
Part of the Springer Series in Computational Physics book series (SCIENTCOMP)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, Thomas A. Zang Jr.
    Pages 1-30
  3. Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, Thomas A. Zang Jr.
    Pages 31-75
  4. Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, Thomas A. Zang Jr.
    Pages 76-93
  5. Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, Thomas A. Zang Jr.
    Pages 94-123
  6. Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, Thomas A. Zang Jr.
    Pages 124-182
  7. Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, Thomas A. Zang Jr.
    Pages 183-200
  8. Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, Thomas A. Zang Jr.
    Pages 201-239
  9. Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, Thomas A. Zang Jr.
    Pages 240-274
  10. Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, Thomas A. Zang Jr.
    Pages 275-314
  11. Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, Thomas A. Zang Jr.
    Pages 315-374
  12. Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, Thomas A. Zang Jr.
    Pages 375-414
  13. Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, Thomas A. Zang Jr.
    Pages 415-443
  14. Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, Thomas A. Zang Jr.
    Pages 444-476
  15. Back Matter
    Pages 477-567

About this book

Introduction

This is a book about spectral methods for partial differential equations: when to use them, how to implement them, and what can be learned from their of spectral methods has evolved rigorous theory. The computational side vigorously since the early 1970s, especially in computationally intensive of the more spectacular applications are applications in fluid dynamics. Some of the power of these discussed here, first in general terms as examples of the methods have been methods and later in great detail after the specifics covered. This book pays special attention to those algorithmic details which are essential to successful implementation of spectral methods. The focus is on algorithms for fluid dynamical problems in transition, turbulence, and aero­ dynamics. This book does not address specific applications in meteorology, partly because of the lack of experience of the authors in this field and partly because of the coverage provided by Haltiner and Williams (1980). The success of spectral methods in practical computations has led to an increasing interest in their theoretical aspects, especially since the mid-1970s. Although the theory does not yet cover the complete spectrum of applications, the analytical techniques which have been developed in recent years have facilitated the examination of an increasing number of problems of practical interest. In this book we present a unified theory of the mathematical analysis of spectral methods and apply it to many of the algorithms in current use.

Keywords

Aerodynamics Aerodynamik Hydromechanik Numerical Analysis Numerische Analysis Partial Differential Equation Partielle Differentialgleichung Spectral Methods Spektralmethoden Transition Turbulence Turbulenz fluid dynamics fluid mechanics

Authors and affiliations

  • Claudio Canuto
    • 1
  • M. Yousuff Hussaini
    • 2
  • Alfio Quarteroni
    • 3
  • Thomas A. ZangJr.
    • 4
  1. 1.Dipartimento di MatematicaPolitecnico di TorinoTorinoItaly
  2. 2.ICASE. Mail Stop 132CNASA Langley Research CenterHamptonUSA
  3. 3.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly
  4. 4.Mail Stop 159 Computational Sciences BranchNASA Langley Research CenterHamptonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-84108-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1988
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-52205-8
  • Online ISBN 978-3-642-84108-8
  • Series Print ISSN 1434-8322
  • About this book