Finite Element Methods in Incompressible, Adiabatic, and Compressible Flows

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 advectiondiffusion 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/PetrovGalerkin (SUPG) formulation, characteristic formulation, and Arbitrary LagrangianEulerian (ALE) formulation and others are presented with practical results solved by those methods.

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

Inhalt
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