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Cellular Automaton Modeling Of Alloy Solidification Using Local Anisotropy Rules, Ralph E. Napolitano, T. H. Sanders Jr.
Cellular Automaton Modeling Of Alloy Solidification Using Local Anisotropy Rules, Ralph E. Napolitano, T. H. Sanders Jr.
Ralph E. Napolitano
The evolution of dendritic morphology is simulated for a binary alloy using a two-dimensional cellular automaton growth algorithm. Solute diffusion is modeled with an alternate-direction implicit finite difference technique. Interface curvature and kinetic anisotropy are implemented through configurational terms which are incorporated into the growth potential used by the automaton. The weighting of the anisotropy term is explored and shown to be essential for overcoming grid-induced anisotropy, permitting more realistic development of dendritic morphologies. Dendritic structures are generated for both uniform and directional cooling conditions.
Modeling Morphological Evolution During Dendritic Solidification Using A Cellular Automaton, Ralph E. Napolitano, T. H. Sanders Jr.
Modeling Morphological Evolution During Dendritic Solidification Using A Cellular Automaton, Ralph E. Napolitano, T. H. Sanders Jr.
Ralph E. Napolitano
Morphological evolution of a dendritic growth front in a binary alloy is simulated using a cellular automaton approach to establish the feasibility of modeling such growth with a local rule-based scheme. The motivation for this work is derived from the need to predict the development of solidification structures within real components of complex geometry, where significant constraint of the thermal and solutal fields may exist. Such cases present complex boundaries and large domain sizes, which may preclude the effective use of more conventional methods. In this work, a model is presented which couples a two-dimensional altemate-direction-implicit finite-difference diffusion solution with …