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Title
Finite element methods in incompressible, adiabatic, and compressible flows [electronic resource] : from fundamental concepts to applications / Mutsuto Kawahara.
ISBN
9784431554509 (electronic book)
4431554505 (electronic book)
9784431554493
Published
Japan : Springer, 2016.
Language
English
Description
1 online resource (xiv, 375 pages) : illustrations.
Item Number
10.1007/978-4-431-55450-9 doi
Call Number
TA347.F5
Dewey Decimal Classification
518/.25
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 12, 2016).
Series
Mathematics for industry (Springer (Firm)) ; v. 19.
Available in Other Form
Print version: 9784431554493
Introduction
Part I Introduction to Finite Element Methods in Fluid Flows
Basic Concepts of Finite Element Method
Pipeline systems
Potential Flow
Advection-diffusion
Creeping Flow
Part II Computational methods and applications of Finite Element Method in Fluid Flows
Continuum Mechanics of Fluid Flows
Analysis of Incompressible Flows
Analysis of Adiabatic Flows
Analysis of Compressible Flows
ALE Formulation
References
Index.
