Following up the seminal Spectral Methods in Fluid Dynamics, Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics contains an extensive survey of the essential algorithmic and theoretical aspects of spectral methods for complex geometries. These types of spectral methods were only just emerging at the time the earlier book was published. The discussion of spectral algorithms for linear and nonlinear fluid dynamics stability analyses is greatly expanded. The chapter on spectral algorithms for incompressible flow focuses on algorithms that have proven most useful in practice, has much greater coverage of algorithms for two or more non-periodic directions, and shows how to treat outflow boundaries. 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.
This book is a companion to Spectral Methods: Fundamentals in Single Domains.
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Number of pages: 596
Weight: 1106 g
Dimensions: 235 x 155 x 33 mm
Edition: 2007 ed.
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)