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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Functional analysis and transforms > Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics(Scientific Computation)
Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics(Scientific Computation)

Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics(Scientific Computation)


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About the Book

Following up the seminal Spectral Methods in Fluid Dynamics, this book surveys the essential algorithmic and theoretical aspects of spectral methods for complex geometries. The chapter on spectral algorithms for incompressible flow is focused on those algorithms that have proven most useful in practice over the past two decades, has much greater coverage of algorithms for two or more non-periodic directions, and describes how to treat outflow boundaries. The material on spectral methods for compressible flow emphasizes boundary conditions for hyperbolic systems, algorithms for simulation of homogeneous turbulence, and improved methods for shock fitting.



Table of Contents:
Fundamentals of Fluid Dynamics.- Single-Domain Algorithms and Applications for Stability Analysis.- Single-Domain Algorithms and Applications for Incompressible Flows.- Single-Domain Algorithms and Applications for Compressible Flows.- Discretization Strategies for Spectral Methods in Complex Domains.- Solution Strategies for Spectral Methods in Complex Domains.- General Algorithms for Incompressible Navier-Stokes Equations.- Spectral Methods Primer.

Review :
From the reviews: "In 2006 Canuto, Quarteroni and Zang presented us on 550 pages a new book on spectral methods ... . Now the second new book ('Evolution of complex geometrics and application to fluid dynamics', CHQZ3) is published and it contains further 600 pages on spectral methods. ... the book presents the actual state-of-the-art of spectral methods and yields for the active researcher a nice comprehensive survey on the modern theory and an excellent bibliography." (H.-G. Roos, Zentralblatt fur Angewandte Mathematik und Mechanik, Vol. 88 (1), 2008) "This book is ... dedicated to the application of spectral methods in fluid dynamics. ... the main objective of the new book is to modernize the classical spectral methods, accounting for advances in the theory and extensive application of multidomain spectral methods in fluid dynamics. ... This is a very useful book for graduate students, research mathematicians, geoscientists, physicists, and engineers interested in modern methods of numerical analysis, mathematical modeling and computational fluid dynamics." (Yuri N. Skiba, Mathematical Reviews, Issue 2009 d)


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Product Details
  • ISBN-13: 9783540307273
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 235 mm
  • No of Pages: 596
  • Returnable: N
  • Sub Title: Evolution to Complex Geometries and Applications to Fluid Dynamics
  • ISBN-10: 3540307273
  • Publisher Date: 16 Jul 2007
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Series Title: Scientific Computation
  • Width: 155 mm


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Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics(Scientific Computation)
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