Open AccessComparative analysis of different numerical schemes in solute trapping simulations by using the phase-field model with finite interface dissipation
Author(s) -
Xuming Yang,
Ying Tang,
Di Cai,
Lijun Zhang,
Yu Xuan Du,
S. Kevin Zhou
Publication year - 2016
Publication title -
journal of mining and metallurgy. section b, metallurgy/journal of mining and metallurgy. section b, metallurgy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.42
H-Index - 20
eISSN - 2217-7175
pISSN - 1450-5339
DOI - 10.2298/jmmb150716010y
Subject(s) - dissipation , trapping , interface (matter) , relaxation (psychology) , phase (matter) , mechanics , computer simulation , field (mathematics) , numerical analysis , statistical physics , materials science , physics , thermodynamics , mathematics , mathematical analysis , psychology , ecology , social psychology , bubble , quantum mechanics , maximum bubble pressure method , pure mathematics , biology
Two different numerical schemes, the standard explicit scheme and the time-elimination relaxation one, in the framework of phase-field model with finite interface dissipation were employed to investigate the solute trapping effect in a Si-4.5 at.% As alloy during rapid solidification. With the equivalent input, a unique solute distribution under the steady state can be obtained by using the two schemes without restriction to numerical length scale and interface velocity. By adjusting interface width and interface permeability, the experimental solute segregation coefficients can be well reproduced. The comparative analysis of advantages and disadvantages in the two numerical schemes indicates that the time-elimination relaxation scheme is preferable in one-dimensional phase-field simulation, while the standard explicit scheme seems to be the only choice for two- or three dimensional phase-field simulation. Furthermore, the kinetic phase diagrams in the Si-As system were predicted by using the phase-field simulation with the time-elimination relaxation scheme