A Fourier spectral moving mesh method for the Cahn-Hilliard equation with elasticity

W. M. Feng, P. Yu, S. Y. Hu, Z. K. Liu, Q. Du, L. Q. Chen

Research output: Contribution to journalArticlepeer-review

36 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)582-599
Number of pages18
JournalCommunications in Computational Physics
Volume5
Issue number2-4
StatePublished - Feb 2009

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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