Page 54 - Process Modelling and Simulation With Finite Element Methods

FEMLAB and the Basics of Numerical Analysis 41

Partial Results

A resolved numerical solution gives

c.4 -
--0.1
C
t = 5.65225 (1.18)

x = 18.5435
with a profile for CAIC as in Figure 1.5.

0.6

0.4

I
2 4 6 8 10
Figure 1.5 Profile of normalized alcohol concentration vs. space time t.

FEMLAB Implementation
We wish to create our pseudo-OD simulation environment yet again, this time
with four dependent variables. Start up FEMLAB and await the Model
Navigator window.

Model Navigator
Select 1-D dimension
Select PDE modes + Coefficient+time dependent
0
0 Select 4 dependent variables
Element: Lagrange - linear
0 More>>
0 OK
This application mode gives us four dependent variables uI u2 u3 u4 and one space
coordinate x. Next, set up the domain.

Pull down the Draw menu and select Specify Geometry.