A Fourier Spectral Moving Mesh Method for the Cahn-Hilliard Equation with Elasticity

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

作者机构：Department of Materials Science and EngineeringPennsylvania State UniversityUniversity ParkPA 16802USA Department of MathematicsPennsylvania State UniversityUniversity ParkPA 16802USA Pacific Northwest National LaboratoryRichlandWA 99354USA 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2009年第5卷第2期

页      面：582-599页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：This work has been supported by the National Science Foundation Information Technol-ogy Research Project(NSF-ITR)through Grant DMR-0205232 The work of Qiang Du is also supported by NSF-DMS 0712744 

主　　题：Phase field diffuse interface moving mesh adaptive mesh Fourier-spectral method adaptive spectral method Cahn-Hilliard equation elasticity 

摘      要：In recent years,Fourier spectral methods have emerged as competitive numerical methods for large-scale phase field simulations of microstructures in computational materials *** 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 *** this paper,we present the application of AFSIM to the Cahn-Hilliard equation with inhomogeneous,anisotropic *** 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 *** is shown that significant savings in memory and computational time is achieved while accurate solutions are preserved.