An adaptive, fully implicit multigrid phase-field model for the quantitative simulation of non-isothermal binary alloy solidification

Stability of a Planar Interface During Solidification of a Dilute Binary Alloy

W. W. Mullins, Robert F. Sekerka · Journal of Applied Physics · 1964 · 3.1K citations

Engineering, Materials Science, Physics +17

Quantitative phase-field modeling of dendritic growth in two and three dimensions

Alain Karma, Wouter‐Jan Rappel · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1998 · 1.5K citations

Natural Sciences, Biophysics, Computational Biophysics +16

Modeling and numerical simulations of dendritic crystal growth

Ryo Kobayashi · Physica D Nonlinear Phenomena · 1993 · 1.4K citations

Natural Sciences, Materials Engineering, Materials Science +12

Model for solute redistribution during rapid solidification

Michael J. Aziz · Journal of Applied Physics · 1982 · 1.1K citations · Full text

Engineering, Materials Engineering, Materials Science +17

Pattern selection in fingered growth phenomena

David A. Kessler, Joel Koplik, Herbert Levine · Advances In Physics · 1988 · 977 citations

Engineering, Biophysics, Fluid Dynamics +14