Finite Element Methods in Incompressible, Adiabatic, and Compressible Flows

From Fundamental Concepts to Applications

  • Mutsuto Kawahara

Part of the Mathematics for Industry book series (MFI)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Mutsuto Kawahara
    Pages 1-4
  3. Introduction to Finite Element Methods in Fluid Flows

    1. Front Matter
      Pages 5-5
    2. Mutsuto Kawahara
      Pages 7-29
    3. Mutsuto Kawahara
      Pages 31-55
    4. Mutsuto Kawahara
      Pages 57-98
    5. Mutsuto Kawahara
      Pages 99-155
    6. Mutsuto Kawahara
      Pages 157-201
  4. Computational Methods and Applications of Finite Element Method in Fluid Flows

    1. Front Matter
      Pages 203-203
    2. Mutsuto Kawahara
      Pages 205-234
    3. Mutsuto Kawahara
      Pages 235-273
    4. Mutsuto Kawahara
      Pages 275-318
    5. Mutsuto Kawahara
      Pages 319-345
    6. 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.


ALE Formulation Bubble Function Element based Formulation Characteristic Formulation Finite Element Method in Fluid Flows Introduction of Finite Element Method SUPG Formulation

Authors and affiliations

  • Mutsuto Kawahara
    • 1
  1. 1.Chuo UniversityTokyoJapan

Bibliographic information

  • DOI
  • Copyright Information Springer Japan 2016
  • Publisher Name Springer, Tokyo
  • eBook Packages Engineering
  • Print ISBN 978-4-431-55449-3
  • Online ISBN 978-4-431-55450-9
  • Series Print ISSN 2198-350X
  • Series Online ISSN 2198-3518
  • About this book