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Introduction to the numerical analysis of incompressible viscous flows /

Introduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equati...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Layton, W. J. (William J.)
Autor Corporativo: Society for Industrial and Applied Mathematics
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2008.
Colección:Computational science and engineering ; 6.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:Introduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations.
Descripción Física:1 online resource (xix, 213 pages) : illustrations.
Bibliografía:Includes bibliographical references and index.
ISBN:9780898718904
0898718902
9781680157918
1680157914