Hi,
I am trying to calculate crystal growth. In my model the growth rate of
a crystal depends on the diffusion rates of the nutrients and on the
surface of the crystal. The reaction rate R at each point can be
calculated by:
R = -D grad(c)
where D is the diffusivity and c the concentration.
Since the overall growth of the crystal depends on the surface, I have
to integrate the above formula.
My model is currently in 2D and I am using triangles with the following
properties:
System "Convection-Diffusion"
Type "TransientLinearImplicit"
Variables="u"
Finite Element Types="LAGRANGE"
Approximation Orders="FIRST"
Let's look at one crystal:
After several time steps a crystal has several triangles. Now I want to
integrate the above formula over the boundary of the crystal.
The crystal is growing at each time step. Thus, after each step I have
to search the elements, which lie within the crystal now.
How would you do this? I have problems in finding the right element
boundaries and afterwards also in implementing an efficient routine
which
finds those elements which lie in the crystal now.
thank you,
Robert
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