کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
498073 | 862964 | 2012 | 10 صفحه PDF | دانلود رایگان |
The phase field crystal equation has been recently put forward as a model for microstructure evolution of two-phase systems on atomic length and diffusive time scales. The theory is cast in terms of an evolutive nonlinear sixth-order partial differential equation for the interatomic density that locally minimizes an energy functional with the constraint of mass conservation. Here we propose a new numerical algorithm for the phase field crystal equation that is second-order time-accurate and unconditionally stable with respect to the energy functional. We present several numerical examples in two and three dimensions dealing with crystal growth in a supercooled liquid and crack propagation in a ductile material. These examples show the effectiveness of our new algorithm.
► We propose a new space–time discretization algorithm for the phase field crystal equation.
► The proposed method inherits the nonlinear stability property of the continuum theory.
► Our numerical examples show the efficiency, accuracy and stability of the new method.
Journal: Computer Methods in Applied Mechanics and Engineering - Volumes 249–252, 1 December 2012, Pages 52–61