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 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.