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  • © 2016

Finite Element Methods in Incompressible, Adiabatic, and Compressible Flows

From Fundamental Concepts to Applications

Authors:

  • the first book that focuses on topics from the beginning level to recent
  • information limiting the finite element method in fluids
  • Includes leading Japanese researchers in the field of research, education, and practitioners as authors
  • Incorporates elementary computer programs by FORTRAN

Part of the book series: Mathematics for Industry (MFI)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiv
  2. Introduction

    • Mutsuto Kawahara
    Pages 1-4
  3. Introduction to Finite Element Methods in Fluid Flows

    1. Front Matter

      Pages 5-5
    2. Basic Concepts of Finite Element Method

      • Mutsuto Kawahara
      Pages 7-29
    3. Pipeline Systems

      • Mutsuto Kawahara
      Pages 31-55
    4. Potential Flow

      • Mutsuto Kawahara
      Pages 57-98
    5. Advection–Diffusion

      • Mutsuto Kawahara
      Pages 99-155
    6. Creeping Flow

      • Mutsuto Kawahara
      Pages 157-201
  4. Computational Methods and Applications of Finite Element Method in Fluid Flows

    1. Front Matter

      Pages 203-203
    2. Continuum Mechanics of Fluid Flows

      • Mutsuto Kawahara
      Pages 205-234
    3. Analysis of Incompressible Flows

      • Mutsuto Kawahara
      Pages 235-273
    4. Analysis of Adiabatic Flows

      • Mutsuto Kawahara
      Pages 275-318
    5. Analysis of Compressible Flows

      • Mutsuto Kawahara
      Pages 319-345
    6. ALE Formulation

      • Mutsuto Kawahara
      Pages 347-363
  5. Back Matter

    Pages 365-375

About this book

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.

Authors and Affiliations

  • Chuo University, Tokyo, Japan

    Mutsuto Kawahara

Bibliographic Information

  • Book Title: Finite Element Methods in Incompressible, Adiabatic, and Compressible Flows

  • Book Subtitle: From Fundamental Concepts to Applications

  • Authors: Mutsuto Kawahara

  • Series Title: Mathematics for Industry

  • DOI: https://doi.org/10.1007/978-4-431-55450-9

  • Publisher: Springer Tokyo

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Japan 2016

  • Hardcover ISBN: 978-4-431-55449-3Published: 11 April 2016

  • Softcover ISBN: 978-4-431-56657-1Published: 25 April 2018

  • eBook ISBN: 978-4-431-55450-9Published: 04 April 2016

  • Series ISSN: 2198-350X

  • Series E-ISSN: 2198-3518

  • Edition Number: 1

  • Number of Pages: XIV, 375

  • Number of Illustrations: 20 b/w illustrations, 99 illustrations in colour

  • Topics: Engineering Fluid Dynamics, Computational Mathematics and Numerical Analysis, Fluid- and Aerodynamics

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access