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We present a first implementation of the Dendritic Needle Network (DNN) modelfor dendritic crystal growth in three dimensions including convective transportin the melt. The numerical solving of the Navier-Stokes equations is performedwith finite differences and is validated by comparison with a classicalbenchmark in fluid mechanics for unsteady flow. We compute the growth behaviorof a single equiaxed crystal under a forced convective flow. As expected, theresulting dendrite morphology differs strongly from the case of the purelydiffusive regime and from similar two-dimensional simulations. The resultingcomputationally efficient simulations open the way to studying mechanisms ofmicrostructure selection in presence of fluid flow, using realistic alloys andprocess parameters.

Three-dimensional needle network model for dendritic growth with fluid flow