A Fourier Spectral Moving Mesh Method for the Cahn-Hilliard Equation with Elasticity
Journal Article
·
· Communications in Computational Physics, 5(2-4):582-599
OSTI ID:952391
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 Laboratory (PNNL), Richland, WA (US)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC05-76RL01830
- OSTI ID:
- 952391
- Report Number(s):
- PNNL-SA-59255; NN2001000
- Journal Information:
- Communications in Computational Physics, 5(2-4):582-599, Journal Name: Communications in Computational Physics, 5(2-4):582-599 Journal Issue: 2-4 Vol. 5
- Country of Publication:
- United States
- Language:
- English
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