Description
Book SynopsisComplex multiscale systems such as combined free or porous flow regimes and transport processes governed by combined diffusion, convection and reaction mechanisms, which cannot be readily modeled using traditional methods, can be solved by multiscale or stabilized finite element schemes.Due to the importance of the described multiscale processes in applications such as separation processes, reaction engineering and environmental systems analysis, a sound knowledge of such methods is essential for many researchers and design engineers who wish to develop reliable solutions for industrially relevant problems. The main scope of this book is to provide an authoritative description of recent developments in the field of finite element analysis, with a particular emphasis on the multiscale finite element modeling of transport phenomena and flow problem.
Table of ContentsMultiscale Phenomena; Multiscale Solution Schemes; Shape Functions; Higher Order Elements; Weighted Residual Finite Element; Stabilized Finite Element Methods; Bubble Functions; Implementation of Bubble Functions in One Dimensional Transport Problems; Implementation of Bubble Functions in Two Dimensional Transport Problems; Application in Flow Problem.
