Approximation of Cahn–Hilliard diffuse interface models using parallel adaptive mesh refinement and coarsening with C1 elements
✍ Scribed by Roy H. Stogner; Graham F. Carey; Bruce T. Murray
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 919 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.2337
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✦ Synopsis
Abstract
A variational formulation and C^1^ finite element scheme with adaptive mesh refinement and coarsening are developed for phase‐separation processes described by the Cahn–Hilliard diffuse interface model of transport in a mixture or alloy. The adaptive scheme is guided by a Laplacian jump indicator based on the corresponding term arising from the weak formulation of the fourth‐order non‐linear problem, and is implemented in a parallel solution framework. It is then applied to resolve complex evolving interfacial solution behavior for 2D and 3D simulations of the classic spinodal decomposition problem from a random initial mixture and to other phase‐transformation applications of interest. Simulation results and adaptive performance are discussed. The scheme permits efficient, robust multiscale resolution and interface characterization. Copyright © 2008 John Wiley & Sons, Ltd.