TY - JOUR
T1 - A Fourier Spectral Moving Mesh Method for the Cahn-Hilliard Equation with Elasticity
AU - W. M. Feng, P. Yu, S. Y. Hu, Z. K. Liu, Q. Du & L. Q. Chen
JO - Communications in Computational Physics
VL - 2-4
SP - 582
EP - 599
PY - 2009
DA - 2009/02
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7751.html
KW - 
AB - <p style="text-align: justify;">In recent years, Fourier spectral methods have emerged as competitive numerical methods for large-scale phase field simulations of microstructures in computational materials sciences. To further improve their effectiveness, we recently developed
a new adaptive Fourier-spectral semi-implicit method (AFSIM) for solving the phase
field equation by combining an adaptive moving mesh method and the semi-implicit
Fourier spectral algorithm. In this paper, we present the application of AFSIM to the
Cahn-Hilliard equation with inhomogeneous, anisotropic elasticity. Numerical implementations and test examples in both two and three dimensions are considered with a
particular illustration using the well-studied example of mis-fitting particles in a solid
as they approach to their equilibrium shapes. It is shown that significant savings in
memory and computational time is achieved while accurate solutions are preserved.</p>