TY - JOUR
T1 - Universal dynamics of phase-field models for dendritic growth
AU - Kim, Yung Tae
AU - Provatas, Nikolas
AU - Goldenfeld, Nigel
AU - Dantzig, Jonathan
PY - 1999
Y1 - 1999
N2 - We compare time-dependent solutions of different phase-field models for dendritic solidification in two dimensions, including a thermodynamically consistent model and several ad hoc models. The results are identical when the phase-field equations are operating in their appropriate sharp interface limit. The long time steady state results are all in agreement with solvability theory. No computational advantage accrues from using a thermodynamically consistent phase-field model.
AB - We compare time-dependent solutions of different phase-field models for dendritic solidification in two dimensions, including a thermodynamically consistent model and several ad hoc models. The results are identical when the phase-field equations are operating in their appropriate sharp interface limit. The long time steady state results are all in agreement with solvability theory. No computational advantage accrues from using a thermodynamically consistent phase-field model.
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U2 - 10.1103/PhysRevE.59.R2546
DO - 10.1103/PhysRevE.59.R2546
M3 - Article
AN - SCOPUS:0000537420
SN - 1063-651X
VL - 59
SP - R2546-R2549
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 3
ER -