Spectral Methods in Fluid Dynamics (Gebundene Ausgabe)
von Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni

Kurzbeschreibung:
This book presents the modern unified theory of spectral methods and their implementation in numerical analysis of partial differential equations occurring in fluid dynamical problems in transition, turbulence and aerodynamics. It provides the engineer with the tools and guidance necessary to apply the methods successfully and it furnishes the mathematician with a comprehensive, rigorous theory of the subject. All of the essential components of spectral algorithms currently employed for large-scale computations in fluid mechanics are described in detail. Some specific applications are linear stability, boundary layer calculations, direct simulations of transition and turbulence, and compressible Euler equations. The authors also present complete algorithms for Poisson's equation, linear hyperbolic systems, advection diffusion equation, as well as algorithms for isotropic turbulence, and boundary layer transition. Some recent developments which are stressed in the book are iterative techniques (including the spectral multigrid method), spectral shock-fitting algorithms, and spectral multidomain methods. The book addresses graduate students and researchers in fluid dynamics and applied mathematics as well as engineers working on problems of practical importance.





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