The dendritic growth of crystals under gravity influence shows a strong dependence on convection in the liquid. The situation is modelled by the Stefan problem with a Gibbs-Thomson condition coupled with the Navier-Stokes equations in the liquid phase. A finite element method for the numerical simulation of dendritic crystal growth including convection effects is presented. It consists of a parametric finite element method for the evolution of the interface, coupled with finite element solvers for the heat equation and Navier-Stokes equations in a time dependent domain. Results from numerical simulations in two space dimensions with Dirichlet and transparent boundary conditions are included.
1
Universität Erlangen-Nünberg, Germany
2
Universität Freiburg, Germany
Eberhard Bänsch; Alfred Schmidt. Simulation of dendritic crystal growth with thermal convection. Interfaces and free boundaries, Tome 2 (2000) no. 1, pp. 95-115. doi: 10.4171/ifb/14
@article{10_4171_ifb_14,
author = {Eberhard B\"ansch and Alfred Schmidt},
title = {Simulation of dendritic crystal growth with thermal convection},
journal = {Interfaces and free boundaries},
pages = {95--115},
year = {2000},
volume = {2},
number = {1},
doi = {10.4171/ifb/14},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/14/}
}
TY - JOUR
AU - Eberhard Bänsch
AU - Alfred Schmidt
TI - Simulation of dendritic crystal growth with thermal convection
JO - Interfaces and free boundaries
PY - 2000
SP - 95
EP - 115
VL - 2
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4171/ifb/14/
DO - 10.4171/ifb/14
ID - 10_4171_ifb_14
ER -
%0 Journal Article
%A Eberhard Bänsch
%A Alfred Schmidt
%T Simulation of dendritic crystal growth with thermal convection
%J Interfaces and free boundaries
%D 2000
%P 95-115
%V 2
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/14/
%R 10.4171/ifb/14
%F 10_4171_ifb_14
