Abstract
| Original language | English |
|---|---|
| Place of Publication | Stuttgart |
| Publisher | Stuttgart Research Centre for Simulation Technology |
| Number of pages | 20 |
| Publication status | Published - 2009 |
Publication series
| Name | Preprint Series |
|---|---|
| Volume | 2009-6 |
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Phase field approximation of a kinetic moving-boundary problem modelling dissolution and precipitation. / Noorden, van, T.L.; Eck, C.
Stuttgart : Stuttgart Research Centre for Simulation Technology, 2009. 20 p. (Preprint Series; Vol. 2009-6).Research output: Book/Report › Report › Academic
TY - BOOK
T1 - Phase field approximation of a kinetic moving-boundary problem modelling dissolution and precipitation
AU - Noorden, van, T.L.
AU - Eck, C.
PY - 2009
Y1 - 2009
N2 - We present a phase field model which approximates a one-phase Stefan-like problem with a kinetic condition at the moving boundary, and which models a dissolution and precipitation reaction. The concentration of dissolved ions is variable on one side of the free boundary and jumps across the free boundary to a fixed value given by the constant density of the precipitate. Using a formal asymptotic analysis we show that the phase field model approximates the appropriate sharp interface limit. The existence and uniqueness of solutions to the phase-field model is studied. By numerical experiments the approximating behaviour of the phase-field model is investigated.
AB - We present a phase field model which approximates a one-phase Stefan-like problem with a kinetic condition at the moving boundary, and which models a dissolution and precipitation reaction. The concentration of dissolved ions is variable on one side of the free boundary and jumps across the free boundary to a fixed value given by the constant density of the precipitate. Using a formal asymptotic analysis we show that the phase field model approximates the appropriate sharp interface limit. The existence and uniqueness of solutions to the phase-field model is studied. By numerical experiments the approximating behaviour of the phase-field model is investigated.
M3 - Report
T3 - Preprint Series
BT - Phase field approximation of a kinetic moving-boundary problem modelling dissolution and precipitation
PB - Stuttgart Research Centre for Simulation Technology
CY - Stuttgart
ER -