Finite element methods in incompressible, adiabatic, and compressible flows : from fundamental concepts to applications

著者

    • Kawahara, Mutsuko

書誌事項

Finite element methods in incompressible, adiabatic, and compressible flows : from fundamental concepts to applications

Mutsuko Kawahara

(Mathematics for industry / editor in chief, Masato Wakayama, v. 19)

Springer, c2016

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注記

Includes bibliographical references (p. 365-369) and index

内容説明・目次

内容説明

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.

目次

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

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詳細情報

  • NII書誌ID(NCID)
    BB2109539X
  • ISBN
    • 9784431554493
  • LCCN
    2016935207
  • 出版国コード
    ja
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Japan
  • ページ数/冊数
    xiv, 375 p.
  • 大きさ
    25 cm
  • 親書誌ID
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