Spectral methods : evolution to complex geometries and applications to fluid dynamics

Author(s)

• Canuto, C.
• Hussaini, M. Yousuff
• Quarteroni, Alfio
• Zang, Thomas A

Bibliographic Information

Spectral methods : evolution to complex geometries and applications to fluid dynamics

C. Canuto, M.Y. Hussaini, A. Quarteroni, T.A. Zang

（Scientific computation）

Springer, c2007

• : softcover

Note

Includes bibliographical references (p. [545]-585) and index

"Softcover re-print of the Hardcover 1st edition 2007"--T.p. verso of softcover

Description and Table of Contents

Description

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.

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.

by "Nielsen BookData"

Details

• NCID: BA82522588
• ISBN:
  • 9783540307273
  • 9783642433955
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin
• Pages/Volumes: xxx, 596 p.
• Size: 25 cm
• Classification:
  • SG : 510
• Subject Headings:
  • LCSH : Spectral theory (Mathematics)
  • LCSH : Numerical analysis
  • LCSH : Fluid dynamics -- Approximation methods
• Parent Bibliography ID:
  • BA36651809