Amandus: Simulations based on multilevel Schwarz methods
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file | cahn_hilliard.cc |
Instationary Cahn-Hilliard model.The Cahn-Hilliard model, which in strong form reads \[ u' = - \Delta (\frac{1}{\epsilon} w'(u) - \epsilon \Delta u) \] Where \(w\) is usually a double-well energy function like \((u^2 - 1)^2\). The model can be derived as a gradient flow, minimizing the same Energy functional as the Allen-Cahn model. However, unlike the Allen-Cahn, this model is mass conserving. | |