Finite element methods in incompressible, adiabatic, and compressible flows : from fundamental concepts to applications
著者
書誌事項
Finite element methods in incompressible, adiabatic, and compressible flows : from fundamental concepts to applications
（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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