Logo - springer
Slogan - springer

Engineering - Mechanical Engineering | The Application of the Chebyshev-Spectral Method in Transport Phenomena

The Application of the Chebyshev-Spectral Method in Transport Phenomena

Guo, Weidong, Labrosse, Gérard, Narayanan, Ranga

2012, XII, 229 p. 52 illus., 1 illus. in color.

Available Formats:

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.


(net) price for USA

ISBN 978-3-642-34088-8

digitally watermarked, no DRM

Included Format: PDF and EPUB

download immediately after purchase

learn more about Springer eBooks

add to marked items


Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.


(net) price for USA

ISBN 978-3-642-34087-1

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days

add to marked items

  • Concise, tutorial and application-driven primer
  • Contains worked examples and end-of-chapter exercises
  • Based on course-tested material at graduate level

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.

Content Level » Graduate

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

Related subjects » Classical Continuum Physics - Computational Science & Engineering - Mechanical Engineering - Mechanics - Theoretical, Mathematical & Computational Physics

Table of contents 

An Introduction to the Book and a Road Map.- An Introduction to the Spectral Method.- Steady One-Dimensional (1D) Heat Conduction Problems.- Unsteady 1D Heat Conduction Problems.- Steady Two-Dimensional (2D) Heat Conduction Problems.- 2D Closed Flow Problems - The Driven Cavity.- Applications to Hydrodynamic Instabilities.- Exercises for the Reader.- References.- Index.

Popular Content within this publication 



Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Engineering Thermodynamics, Heat and Mass Transfer.