scholarly journals Unified framework for a side-by-side comparison of different multicomponent algorithms: Lattice Boltzmann vs. phase field model

2013 ◽  
Vol 234 ◽  
pp. 263-279 ◽  
Author(s):  
Luca Scarbolo ◽  
Dafne Molin ◽  
Prasad Perlekar ◽  
Mauro Sbragaglia ◽  
Alfredo Soldati ◽  
...  
Keyword(s):  
Phase Field ◽  
Lattice Boltzmann ◽  
Field Model ◽  
Phase Field Model ◽  
Unified Framework

A phase field model of the premelting of grain boundaries in pure materials

2000 ◽  
Vol 652 ◽  
Author(s):  
Alexander E. Lobkovsky ◽  
James A. Warren
Keyword(s):  
Grain Boundaries ◽  
Phase Field ◽  
Field Model ◽  
Solid Phase ◽  
Phase Field Model ◽  
Field Variable ◽  
High Angle ◽  
Unified Framework ◽  
Crystalline Orientation ◽  
Solid Liquid

ABSTRACTWe present a phase field model of solidification which includes the effects of the crystalline orientation in the solid phase. This model describes grain boundaries as well as solid-liquid boundaries within a unified framework. With an appropriate choice of coupling of the phase field variable to the gradient of the crystalline orientation variable in the free energy, we find that high angle boundaries undergo a premelting transition. As the melting temperature is approached from below, low angle grain boundaries remain narrow. The width of the liquid layer at high angle grain boundaries diverges logarithmically.

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