Abstract
| Original language | English |
|---|---|
| Place of Publication | Eindhoven |
| Publisher | Technische Universiteit Eindhoven |
| Number of pages | 21 |
| Publication status | Published - 2012 |
Publication series
| Name | CASA-report |
|---|---|
| Volume | 1237 |
| ISSN (Print) | 0926-4507 |
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Rigorous upscaling of rough boundaries for reactive flows. / Kumar, K.; van Helvoort, M.H.B.; Pop, I.S.
Eindhoven : Technische Universiteit Eindhoven, 2012. 21 p. (CASA-report; Vol. 1237).Research output: Book/Report › Report › Academic
TY - BOOK
T1 - Rigorous upscaling of rough boundaries for reactive flows
AU - Kumar, K.
AU - van Helvoort, M.H.B.
AU - Pop, I.S.
PY - 2012
Y1 - 2012
N2 - We consider a mathematical model for reactive ¿ow in a channel having a rough (periodically oscillating) boundary with both period and amplitude e. The ions are being transported by the convection and diffusion processes. These ions can react at the rough boundaries and get attached to form the crystal (precipitation) and become immobile. The reverse process of dissolution is also possible. The model involves non-linear and multi-valued rates. We provide a rigorous justi¿cation for the upscaling process in which we de¿ne an upscaled problem de¿ned in a simpler domain with ¿at boundaries. To this aim, we use periodic unfolding techniques combined with translation estimates. Numerical experiments con¿rm the theoretical predictions and illustrate a practical application of this upscaling process.
AB - We consider a mathematical model for reactive ¿ow in a channel having a rough (periodically oscillating) boundary with both period and amplitude e. The ions are being transported by the convection and diffusion processes. These ions can react at the rough boundaries and get attached to form the crystal (precipitation) and become immobile. The reverse process of dissolution is also possible. The model involves non-linear and multi-valued rates. We provide a rigorous justi¿cation for the upscaling process in which we de¿ne an upscaled problem de¿ned in a simpler domain with ¿at boundaries. To this aim, we use periodic unfolding techniques combined with translation estimates. Numerical experiments con¿rm the theoretical predictions and illustrate a practical application of this upscaling process.
M3 - Report
T3 - CASA-report
BT - Rigorous upscaling of rough boundaries for reactive flows
PB - Technische Universiteit Eindhoven
CY - Eindhoven
ER -