MICRESS Forum

Dear Bernd,

I would like to know the specific way of transformation from given 3D density to an equivalent 2D density written on page 28 in MICRESS manual.
Is there any reference?

Thank you in advance,
hrtkk

Hi hrtkk,

Unfortunately, there is no exact documentation available how 3D-seed densities are converted to the number of seeds which are used for 2D simulations. Anyway, the seed-density model which is implemented in MICRESS has been described first in

B. Böttger, J. Eiken, I. Steinbach
Phase field simulation of equiaxed solidification in technical alloys
Acta Materialia 54 10 (2006) 2697.

Furthermore, it has been extensively applied in

B. Böttger, J. Eiken, M.Apel,
Phase-field simulation of microstructure formation in technical castings – A self-consistent homoenthalpic approach to the micro–macro problem
J. Comput. Phys. 228 (2009), 6784-6795.

In case of 2D simulations, the seed density input in the .dri file is always a 3D density. From this density , a mean distance between seeding particles is calculated for each seed class:

d_mean = ^-1/3

For calculation of the number of seed particles N per class, an effective volume V_eff is calculated using the area A of the domain (or region) multiplied by d_mean for the third dimension. The number of seed particles then is

N = V_eff = A d_mean

That is all!

Bernd

Dear Bernd,

Thank you for your explanation.
I understood well!!

hrtkk