Finite Element Methods in Incompressible, Adiabatic, and Compressible Flows: From Fundamental Concepts to Applications (Mathematics for Industry, 19)

Kawahara, Mutsuto

ISBN 10: 4431554491 ISBN 13: 9784431554493

Published by Springer, 2016

Language: English

Condition: New Hardcover

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Bibliographic Details

Title

Finite Element Methods in Incompressible, Adiabatic, and Compressible Flows: From Fundamental Concepts to Applications (Mathematics for Industry, 19)

Publisher

Springer

Publication Date

2016

Language

English

ISBN 10

4431554491

ISBN 13

9784431554493

Binding

Hardcover

Condition

New

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Synopsis

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 Streamline-Upwind/Petrov–Galerkin (SUPG) formulation, characteristic formulation, and Arbitrary Lagrangian–Eulerian (ALE) formulation and others are presented with practical results solved by those methods.

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