Page 15 - Process Modelling and Simulation With Finite Element Methods

2 Process Modelling and Simulation with Finite Element Methods

powerful features of FEMLAB by systematically exploring models that illustrate
the feature of the theme of each chapter. I searched through my own repertoire
of PDE modeling and sought out contributions from colleagues that would
illustrate the features. Chapters 8 and 9 are of a different type. These chapters
would legitimately fit into the FEMLAB Model Library as case studies of
modeling with FEMLAB, rather than organized along a particular programming
theme. Nonetheless, the case studies highlight non-standard aspects of
FEMLAB/MATLAB modeling, analysis, and postprocessing that are strikingly
original.

Target audience

The book is aimed at graduate Chemical Engineers who use modelling tools and
as a general introduction to FEMLAB for scientists and engineers.

Figure 0.1 The pre-built application modes are arranged in a tree structure on the Model Navigator.
Here is the Incompressible Navier-Stokes mode under the Chemical Engineering Module. The
Model Navigator specifies that this mode is 2-D, has three dependent variables, and uses a mixed
type of element Lagrange p2 for the velocities u and v, Lagrange pl for the pressure. Using mixed
order discretization schemes is quite common in finite element methods for numerical stability of
the Navier-Stokes solvers. The SIMPLE scheme [l] pioneered the approach. The Model Navigator
allows the user to specify pre-built application modes or to customize a generic PDE mode
(coefficient, general, weak) to build up their own model.