TY - GEN
T1 - Binary alloy simulation
T2 - 4th North American IEOM Conference. IEOM 2019
AU - Tayo, Olanipekun Ayorinde
AU - Laseinde, Timothy O.
AU - Mashinini, Madindwa
N1 - Publisher Copyright:
© 2019, IEOM Society International.
PY - 2019
Y1 - 2019
N2 - Phase field modelling, a robust computational approach for modelling, predicting microstructure evolution and to speculate mesoscale morphological in various materials. In this study, we have discretized the time variable using semi-implicit instead of explicit scheme, semi-implicit scheme is known to allow a larger time step sizes than explicit schemes. Meanwhile, the discretization of the space variable is carried out using a Fourier spectral method, having a convergence rate that is exponential when compared to the second order Finite-difference method. Meanwhile, a numerical implementation of Cahn-Hilliard equation via semi-implicit Fourier spectral algorithm for conserved quantities was also demonstrated for binary alloy simulation. However, Isothermal conditions are considered and Non-dimmensionalisation is done. Lastly, we implemented a MATLAB code to solve the phase field equation and visualize our model.
AB - Phase field modelling, a robust computational approach for modelling, predicting microstructure evolution and to speculate mesoscale morphological in various materials. In this study, we have discretized the time variable using semi-implicit instead of explicit scheme, semi-implicit scheme is known to allow a larger time step sizes than explicit schemes. Meanwhile, the discretization of the space variable is carried out using a Fourier spectral method, having a convergence rate that is exponential when compared to the second order Finite-difference method. Meanwhile, a numerical implementation of Cahn-Hilliard equation via semi-implicit Fourier spectral algorithm for conserved quantities was also demonstrated for binary alloy simulation. However, Isothermal conditions are considered and Non-dimmensionalisation is done. Lastly, we implemented a MATLAB code to solve the phase field equation and visualize our model.
KW - Binary alloy
KW - Cahn-hilliard equation
KW - Fourier spectral method
KW - Microstructure evolution
KW - Phase-field
KW - Semi-implicit
UR - http://www.scopus.com/inward/record.url?scp=85079285089&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85079285089
SN - 9781532359507
T3 - Proceedings of the International Conference on Industrial Engineering and Operations Management
SP - 1222
EP - 1228
BT - 4th North American IEOM Conference. IEOM 2019
PB - IEOM Society
Y2 - 23 October 2019 through 25 October 2019
ER -