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M: Metallphysik

M 18: Postersitzung

M 18.5: Poster

Dienstag, 9. März 2004, 14:30–16:30, Saal C

Phase-field Simulations of Dendritic Patterns in Solidification of a Pure Substance — •Denis Danilov¹, Britta Nestler¹, and Peter Galenko² — ¹University of Applied Sciences Karlsruhe, Germany — ²Institute for Space Simulation, DLR, Cologne, Germany

We present a critical analysis of the existing phase-field models of solidification patterns in pure substances. For comparison of the predictions and asymptotic solutions, we apply the phase-field model recently developed by Garcke, Nestler, Stinner [2] including the "thin-interface" analytical results by Karma et al. [1]. The model equations describing are numerically solved using two different methods: A finite-difference discretization and an adaptive finite-element method. Simulation results of solidifying 2D and 3D dendritic morphologies are presented. The numerical methods are examined with respect to the influence of grid anisotropy and computational efficiency. The phase-field model predictions of the tip radius and velocity for different undercoolings are compared with the analytical model of Brener [3] and with new experimental results of solidified nickel dendrites by Funke et al. [4].

[1] A. Karma and W.-J. Rappel, Physical Review E 53 (1996) R3017 and Physical Review E 60 (1999) 3614

[2] H. Garcke, B. Nestler und B. Stinner, SIAM J. on Appl. Math., in print

[3] E. Brener, J. Cryst. Growth 99 (1990) 165

[4] O. Funke, G. Phanikumar, P.K. Galenko, M. Kolbe, D.M. Herlach, Physical Review E (2004) submitted