Algorithms for Phase Field Computation of the Dendritic Operating State at Large Supercoolings
✍ Scribed by Shun-Lien Wang; Robert F. Sekerka
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 321 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
Recently, increased computing power has enabled the computation of quite complex morphologies, such as dendritic This paper deals with numerical solutions of the phase field model of solidification in two dimensions in the context of dendritic growth. growth in two dimensions [3][4][5][6][7][8][9]. There has even been some Finite difference methods associated with vectorized algorithms are success with computations in three dimensions [10].
employed to solve the phase field equations. The temperature equa-
In our previous research [11], we introduced a phase field tion is solved by an alternating direction implicit scheme and the model that is based on positive local entropy production.
equation for the phase field by an explicit Euler scheme. We identify Furthermore, as shown in [12], the model is capable of a region of parameter space, namely large supercoolings, where we can compute dendritic morphologies that display steady-state incorporating arbitrary anisotropies of surface tension and dendrite tip operating conditions that are independent of computainterface kinetics, believed to play important roles in pattional parameters.