Details
| Original language | English |
|---|---|
| Pages (from-to) | B1235-B1266 |
| Journal | SIAM Journal on Scientific Computing |
| Volume | 35 |
| Issue number | 6 |
| Publication status | Published - 2013 |
| Externally published | Yes |
Abstract
We study the reactive flow in a thin strip where the geometry changes take place due to reactions. Specifically, we consider precipitation-dissolution processes taking place at the lateral boundaries of the strip. The geometry changes depend on the concentration of the solute in the bulk (trace of the concentration), which makes the problem a free-moving boundary problem. The numerical computations are challenging in view of the nonlinearities in the description of the reaction rates. In addition to this, the movement of the boundary depends on the unknown concentration (and hence part of the solution), and the computation of the coupled model remains a delicate issue. Our aim is to develop appropriate numerical techniques for the computation of the solutions of the coupled convection-diffusion problem and the equation describing the geometry changes. The performance is demonstrated with the help of several numerical tests.
Keywords
- Arbitrary Lagrangian-Eulerian approach, Finite elements, Monolithic formulation, Precipitation-dissolution processes, Reactive flows
ASJC Scopus subject areas
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: SIAM Journal on Scientific Computing, Vol. 35, No. 6, 2013, p. B1235-B1266.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Reactive flow and reaction-induced boundary movement in a thin channel
AU - Kumar, Kundan
AU - Wheeler, Mary F.
AU - Wick, Thomas
N1 - Copyright: Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2013
Y1 - 2013
N2 - We study the reactive flow in a thin strip where the geometry changes take place due to reactions. Specifically, we consider precipitation-dissolution processes taking place at the lateral boundaries of the strip. The geometry changes depend on the concentration of the solute in the bulk (trace of the concentration), which makes the problem a free-moving boundary problem. The numerical computations are challenging in view of the nonlinearities in the description of the reaction rates. In addition to this, the movement of the boundary depends on the unknown concentration (and hence part of the solution), and the computation of the coupled model remains a delicate issue. Our aim is to develop appropriate numerical techniques for the computation of the solutions of the coupled convection-diffusion problem and the equation describing the geometry changes. The performance is demonstrated with the help of several numerical tests.
AB - We study the reactive flow in a thin strip where the geometry changes take place due to reactions. Specifically, we consider precipitation-dissolution processes taking place at the lateral boundaries of the strip. The geometry changes depend on the concentration of the solute in the bulk (trace of the concentration), which makes the problem a free-moving boundary problem. The numerical computations are challenging in view of the nonlinearities in the description of the reaction rates. In addition to this, the movement of the boundary depends on the unknown concentration (and hence part of the solution), and the computation of the coupled model remains a delicate issue. Our aim is to develop appropriate numerical techniques for the computation of the solutions of the coupled convection-diffusion problem and the equation describing the geometry changes. The performance is demonstrated with the help of several numerical tests.
KW - Arbitrary Lagrangian-Eulerian approach
KW - Finite elements
KW - Monolithic formulation
KW - Precipitation-dissolution processes
KW - Reactive flows
UR - http://www.scopus.com/inward/record.url?scp=84892574260&partnerID=8YFLogxK
U2 - 10.1137/130913134
DO - 10.1137/130913134
M3 - Article
AN - SCOPUS:84892574260
VL - 35
SP - B1235-B1266
JO - SIAM Journal on Scientific Computing
JF - SIAM Journal on Scientific Computing
SN - 1064-8275
IS - 6
ER -