Three-dimensional needle network model for dendritic growth with fluid flow
arXiv:2003.05248 · doi:10.1088/1757-899X/861/1/012049
Abstract
We present a first implementation of the Dendritic Needle Network (DNN) model for dendritic crystal growth in three dimensions including convective transport in the melt. The numerical solving of the Navier-Stokes equations is performed with finite differences and is validated by comparison with a classical benchmark in fluid mechanics for unsteady flow. We compute the growth behavior of a single equiaxed crystal under a forced convective flow. As expected, the resulting dendrite morphology differs strongly from the case of the purely diffusive regime and from similar two-dimensional simulations. The resulting computationally efficient simulations open the way to studying mechanisms of microstructure selection in presence of fluid flow, using realistic alloys and process parameters.
References in corpus (4)
- Phase Field Model for Three-Dimensional Dendritic Growth with Fluid Flow
- Efficient Computation of Dendritic Microstructures using Adaptive Mesh Refinement
- Multiscale Random-Walk Algorithm for Simulating Interfacial Pattern Formation
- Multiscale dendritic needle network model of alloy solidification with fluid flow