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Adaptive Mesh Re nement Computation of Solidi cation Microstructures usingDynamic Data
| Content Provider | Semantic Scholar |
|---|---|
| Author | Provatas, Structures Nikolas Goldenfeld, Nigel D. Dantzig, Jonathan A. |
| Copyright Year | 1998 |
| Abstract | We study the evolution of solidiication microstructures using a phase-eld model computed on an adaptive, nite element grid. We discuss the details of our algorithm and show that it greatly reduces the computational cost of solving the phase-eld model at low undercooling. In particular we show that the computational complexity of solving any phase-boundary problem scales with the interface arclength when using an adapting mesh. Moreover, the use of dynamic data structures allows us to simulate system sizes corresponding to experimental conditions, which would otherwise require lattices greater than 2 17 2 17 elements. We examine the convergence properties of our algorithm. We also present two dimensional, time-dependent calculations of dendritic evolution , with and without surface tension anisotropy. We benchmark our results for dendritic growth with microscopic solv-ability theory, nding them to be in good agreement with theory for high undercoolings. At low undercooling, however, we obtain higher values of velocity than solvability theory at low undercooling, where transients dominate, in accord with a heuristic criterion which we derive. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://quattro.me.uiuc.edu/~provatas/J_COMP_PHYS_FINAL.ps |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
