MULTISCALE MODELING OF SOLIDIFICATION: PHASE-FIELD METHODS TO ADAPTIVE MESH REFINEMENT
NIKOLAS PROVATAS, MICHAEL GREENWOOD, BADRINARAYAN ATHREYA, NIGEL GOLDENFELD, JONATHAN DANTZIG
2005
International Journal of Modern Physics B
Combined with new methods of asymptotic analysis, the adaptive mesh approach provides a truly multi-scale capability for simulating solidification microstructures from nanometers up to centimeters. ...
We then review recent dynamic adaptive mesh refinement algorithms that have enabled a dramatic increase in the scale of microstructures that can be simulated using phase-field models, at significantly ...
Combining such asymptotic matching results with adaptive mesh refinement algorithms (discussed in Sec. 4) 30,31 enabled, for the first time, simulations of dendritic structures at experimentally relevant ...
doi:10.1142/s0217979205032917
fatcat:sy46ahpmqnaktmr3honappjmny