Page 312 - Process Modelling and Simulation With Finite Element Methods

Modeling of Multi-Phase Flow Using the Level Set Method 299

The above system of equations (8.2)-(8.11) with initial condition (8.12) in an
initially quiescent fluid (no motion) can be solved using level set method as
described below.

Start up FEMLAB and enter the Model Navigator:

Select 2-D dimension
Select Incompressible Navier-Stoke and
Select ChEM: Convection and diffusion. Dependent variable: phi
0 Element: Lagrange - quadratic

These application modes give us four dependent variables u, v, and p for
Incompressible Navier-Stoke mode and one dependent variable called ‘phi’ for
ChEM: convection and diffusion mode. The 2-D space coordinates are x and y.
Now we can define our domain by pulling down the Draw menu and select a
rectangle.

Draw Mode
Draw a rectangle by clicking left mouse button
Edit the dimensions of a rectangle by double clicking
Set x,, to 0, x,,, to 1, Y,,, to 0 and Y,, to 6
0
Apply/OK
0
0 Select Axes/Grid Settings from Options menu
Set Axis Equal
Amlv/OK
We need to specify the boundary conditions for both the modes separately in the
Multiphysics menu. Select the mode from Multiphysics. Pull down the
Boundary menu and select Boundary Settings.

Boundary Mode
Select Incompressible Navier-Stokes (ns mode) from Multiphysics
Set domain 1 to symmetry and domain 2-4 to no-slip
Apply/OK
Select ChEM: Convection and diffusion (cd mode) from Multiphysics
Set domain 1-4 to Insulationkymmetry