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The Application of the Chebyshev-Spectral Method in Transport Phenomena

  • Weidong Guo
  • Gérard Labrosse
  • Ranga Narayanan

Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 68)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Weidong Guo, Gérard Labrosse, Ranga Narayanan
    Pages 1-2
  3. Weidong Guo, Gérard Labrosse, Ranga Narayanan
    Pages 3-20
  4. Weidong Guo, Gérard Labrosse, Ranga Narayanan
    Pages 21-60
  5. Weidong Guo, Gérard Labrosse, Ranga Narayanan
    Pages 61-73
  6. Weidong Guo, Gérard Labrosse, Ranga Narayanan
    Pages 75-111
  7. Weidong Guo, Gérard Labrosse, Ranga Narayanan
    Pages 113-169
  8. Weidong Guo, Gérard Labrosse, Ranga Narayanan
    Pages 171-211
  9. Weidong Guo, Gérard Labrosse, Ranga Narayanan
    Pages 213-226
  10. Back Matter
    Pages 227-229

About this book

Introduction

Transport phenomena problems that occur in engineering and physics are often multi-dimensional and multi-phase in character.  When taking recourse to numerical methods the spectral method is particularly useful and efficient.

The book is meant principally to train students and non-specialists  to use the spectral method for solving problems that model fluid flow in closed geometries with heat or mass transfer.  To this aim the reader should bring a working knowledge of fluid mechanics and heat transfer and should be readily conversant with simple concepts of linear algebra including spectral decomposition of matrices as well as solvability conditions for inhomogeneous problems. 

The book is neither meant to supply a ready-to-use program that is all-purpose nor to go through all manners of mathematical proofs.  The focus in this tutorial is on the use of the spectral methods for space discretization, because this is where most of the difficulty lies. While time dependent problems are also of great interest, time marching procedures are dealt with by briefly introducing and providing a simple, direct, and efficient method.

Many examples are provided in the text as well as numerous exercises for each chapter. Several of the examples are attended by subtle points which the reader will face while working them out. Some of these points are deliberated upon in endnotes to the various chapters, others are touched upon in the book itself.

Keywords

Chebychev spectral method Computational transport phenomena tutorial Fluid flow in closed geometries Heat and mass transfer Lectures in computational fluid dynamics Spectral methods in scientific computing Spectral methods textbook Steady and unsteady flows

Authors and affiliations

  • Weidong Guo
    • 1
  • Gérard Labrosse
    • 2
  • Ranga Narayanan
    • 3
  1. 1., Department of Chemical EngineeringUniversity of FloridaGainesvilleUSA
  2. 2.Département de PhysiqueUniversité Paris-Sud 11OrsayFrance
  3. 3., Department of Chemical EngineeringUniversity of FloridaGainesvilleUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-34088-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-34087-1
  • Online ISBN 978-3-642-34088-8
  • Series Print ISSN 1613-7736
  • Series Online ISSN 1860-0816
  • Buy this book on publisher's site
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