Abstract
Using phase field methods, we introduce a penalty formulation for restricting the support of solutions of the hydrodynamic Poisson-Nernst-Plank equations to evolving subregions of the domain. The formulation is derived through variational principles from a free energy involving the phase field and electrostatic energy. We validate the model by energetic arguments and several dynamic, finite element simulations of the (linear) Navier-Stokes, Poisson-Nernst-Plank and Allen-Cahn system.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 649-661 |
| Number of pages | 13 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 8 |
| Issue number | 3 |
| DOIs | |
| State | Published - Oct 2007 |
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics
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