A Fourier Spectral Moving Mesh Method for the Cahn-Hilliard Equation with Elasticity
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.
- Research Organization:
- Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC05-76RL01830
- OSTI ID:
- 952391
- Report Number(s):
- PNNL-SA-59255; NN2001000; TRN: US200913%%494
- Journal Information:
- Communications in Computational Physics, 5(2-4):582-599, Vol. 5, Issue 2-4
- Country of Publication:
- United States
- Language:
- English
Similar Records
Simulating phase transformations with the Cahn-Hilliard equation -- Potential and limitations
A parallel domain decomposition-based implicit method for the Cahn–Hilliard–Cook phase-field equation in 3D
Related Subjects
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
FOURIER TRANSFORMATION
ELASTICITY
FIELD EQUATIONS
MICROSTRUCTURE
PHASE STUDIES
COMPUTER CALCULATIONS
MESH GENERATION
Phase field
Diffuse Interface
Moving Mesh
Adaptive Mesh
Fourier-Spectral Method