| 1 | A Fourier Spectral Moving Mesh Method for the Cahn-Hilliard Equation with Elasticity显示文摘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. | W.M.Feng P.Yu S.Y.Hu Z.K.Liu Q.Du L.Q.Chen | 2009 | Communications in Computational Physics2009，5，2： | 0 |
您所在的机构暂未开通此部分的功能，请联系管理员