Spectral Methods Evolution to Complex Geometries and Applications to Fluid Dynamics /

• Main Authors: Canuto, Claudio (Author), Quarteroni, Alfio (Author), Hussaini, M. Yousuff (Author), Zang, Thomas A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Scientific Computation,
• Subjects: Mathematics.; Functional analysis.; Computer mathematics.; Physics.; Fluids.; Fluid mechanics.; Functional Analysis.; Computational Mathematics and Numerical Analysis.; Numerical and Computational Physics.; Fluid- and Aerodynamics.; Engineering Fluid Dynamics.; Mathematical Methods in Physics.

Spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral methods that was the hallmark of their 1988 boo...

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.