Seed density model for 2D simulations

Exchange about the physics background, diffuse interface theory, etc..
Post Reply
hrtkk
Posts: 2
Joined: Wed Feb 29, 2012 7:26 am
anti_bot: 333

Seed density model for 2D simulations

Post by hrtkk » Tue May 20, 2014 10:04 am

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

Bernd
Posts: 1074
Joined: Mon Jun 23, 2008 9:29 pm

Re: Seed density model for 2D simulations

Post by Bernd » Tue May 20, 2014 6:16 pm

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 \rho, a mean distance between seeding particles is calculated for each seed class:

dmean = \rho-1/3

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

N = \rho Veff = \rho A dmean

That is all!

Bernd

hrtkk
Posts: 2
Joined: Wed Feb 29, 2012 7:26 am
anti_bot: 333

Re: Seed density model for 2D simulations

Post by hrtkk » Mon May 26, 2014 11:58 am

Dear Bernd,

Thank you for your explanation.
I understood well!! :D

hrtkk

Post Reply