Finite Element Methods in Incompressible, Adiabatic, and Compressible Flows

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106,99 

From Fundamental Concepts to Applications, Mathematics for Industry 19

ISBN: 4431554491
ISBN 13: 9784431554493
Autor: Kawahara, Mutsuto
Verlag: Springer Verlag GmbH
Umfang: xiv, 375 S., 20 s/w Illustr., 99 farbige Illustr., 375 p. 119 illus., 99 illus. in color.
Erscheinungsdatum: 11.04.2016
Auflage: 1/2017
Produktform: Gebunden/Hardback
Einband: Gebunden

This book focuses on the finite element method in fluid flows. It is targeted at researchers, from those just starting out up to practitioners with some experience. Part I is devoted to the beginners who are already familiar with elementary calculus. Precise concepts of the finite element method remitted in the field of analysis of fluid flow are stated, starting with spring structures, which are most suitable to show the concepts of superposition/assembling. Pipeline system and potential flow sections show the linear problem. The advection-diffusion section presents the time-dependent problem; mixed interpolation is explained using creeping flows, and elementary computer programs by FORTRAN are included. Part II provides information on recent computational methods and their applications to practical problems. Theories of StreamlineUpwind/PetrovGalerkin (SUPG) formulation, characteristic formulation, and Arbitrary Lagrangian-Eulerian (ALE) formulation and others are presented with practical results solved by those methods.

Artikelnummer: 7616204 Kategorie:

Beschreibung

This book focuses on the finite element method in fluid flows. It is targeted at researchers, from those just starting out up to practitioners with some experience. Part I is devoted to the beginners who are already familiar with elementary calculus. Precise concepts of the finite element method remitted in the field of analysis of fluid flow are stated, starting with spring structures which are most suitable to show the concepts of superposition/assembling. Pipeline system and potential flow sections show the linear problem. Advection diffusion section presents time dependent problem. The mixed interpolation is explained using creeping flows. The elementary computer programs by FORTRAN is included. Part II provides information of the recent computational methods and their applications to the practical problems. Theories of SUPG (Streamline-Upwind/Petrov-Galerkin) formulation, characteristic formulation and ALE (Arbitrary Lagrangian-Eulerian) formulation and others are presented with practical results solved by those methods. For reasons who are not familiar with indicial notation, those descriptions are attached in the appendix.

Autorenporträt

InhaltsangabeIntroduction.- Basic concepts of finite element method.- Pipeline systems.- Potential flows.- Advection-diffusion.- Creeping flows.- Continuum mechanics of fluid flows.- Incompressible flows.- Adiabatic flows.- Compressible flows.- ALE formulation.

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