Page 32 - Process Modelling and Simulation With Finite Element Methods

Introduction to FEMLAB 19

Figure 0.12 In the turbulent static mixer model, there is only one subdomain, exactly equivalent to
the single composite geometry object specified in draw mode.
Chapter five starts the advanced concepts in modeling - nonlinear dynamics
and simulation. Chapter six deals with geometric continuation, and Chapter
seven treats integral equations and inverse problems. All three chapters are
largely drawn from my own research portfolio, but there are also newly
developed treatments or extended studies from previous works. Rather than
systematically exploring the features of FEMLAB as in chapters 1-4, chapters 5-
7 pose the question “Can FEMLAB be bent to solve the problems that interest
me in stability theory (five), complex geometries and modulating domains (six)
or inverse problems (seven), where I know the questions and desired forms of
the answers, but can FEMLAB provide the solution tools? These chapters will
have their own audiences for the direct questions they treat, but should provide
many users with fertile proving grounds and a basketful of “tricks of the trade.”
Getting information into and out of the FEMLAB GUI is one of the weaknesses
of the package. Many of my tricks are how to use the MATLAB interfaces to do
intricate I/O.
Chapters eight through ten are purely about applications and are only CO-
authored by me. To a large degree, chapters 5-7 are about my applications and
their generalizations, used to demonstrate FEMLAB functionality. Chatpers 8-
10 are the applications of colleagues for which we thought FEMLAB and the
concepts of chapters 1-4 should be exploitable. My co-authors of these chapters
have other agendas and that is evident in the narrative voice adopted in these
chapters.