Abstract
This paper deals with numerical solutions of the phase field model of solidification in two dimensions in the context of dendritic growth. Finite difference methods associated with vectorized algorithms are employed to solve the phase field equations. The temperature equation is solved by an alternating direction implicit scheme and the equation for the phase field by an explicit Euler scheme. We identify a region of parameter space, namely large supercoolings, where we can compute dendritic morphologies that display steady-state dendrite tip operating conditions that are independent of computational parameters.
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