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This book focuses on the finite element method influid flows. It is targeted at researchers, from those just starting out up topractitioners with some experience. Part I is devoted to the beginners who arealready familiar with elementary calculus. Precise concepts of the finiteelement method remitted in the field of analysis of fluid flow are stated,starting with spring structures, which are most suitable to show the conceptsof superposition/assembling. Pipeline system and potential flow sections showthe linear problem. The advection-diffusion section presents the time-dependentproblem; mixed interpolation is explained using creeping flows, and elementarycomputer programs by FORTRAN are included. Part II provides information on recentcomputational methods and their applications to practical problems. Theories ofStreamline-Upwind/Petrov-Galerkin (SUPG) formulation, characteristicformulation, and Arbitrary Lagrangian-Eulerian (ALE) formulation and others arepresented with practical results solved by those methods.
List of contents
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
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.
