This textbook presents the modern unified theory of spectral
methods and their implementation in the numerical analysis
of partial differential equations occuring in fluid
dynamical problems of 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, the advection diffusion equation,
isotropic turbulence, and boundary layer transition. Some
recent developments 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.
Dieses Buch führt in die moderne Theorie der Spektralmethoden und ihre Implementierung in die numerische Analysis der partiellen Differentialgleichungen der Hydromechanik (Turbulenz und Aerodynamik) ein. Das Buch richtet sich an fortgeschrittene Studenten, Ingenieure und angewandte Mathematiker.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
methods and their implementation in the numerical analysis
of partial differential equations occuring in fluid
dynamical problems of 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, the advection diffusion equation,
isotropic turbulence, and boundary layer transition. Some
recent developments 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.
Dieses Buch führt in die moderne Theorie der Spektralmethoden und ihre Implementierung in die numerische Analysis der partiellen Differentialgleichungen der Hydromechanik (Turbulenz und Aerodynamik) ein. Das Buch richtet sich an fortgeschrittene Studenten, Ingenieure und angewandte Mathematiker.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.