Abstract
| Original language | English |
|---|---|
| Journal | Computational Geosciences |
| Volume | 21 |
| Issue number | 1 |
| Pages (from-to) | 3-11 |
| Number of pages | 9 |
| ISSN | 1420-0597 |
| DOIs | |
| Publication status | Published - 2017 |
Keywords
- Domain tranformation
- Water table evolution
- Finite element method
Cite this
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Efficient water table evolution discretization using domain transformation. / Boon, W. M.; Balbarini, Nicola; Binning, Philip John; Nordbotten, J. M.
In: Computational Geosciences, Vol. 21, No. 1, 2017, p. 3-11.Research output: Contribution to journal › Journal article › Research › peer-review
TY - JOUR
T1 - Efficient water table evolution discretization using domain transformation
AU - Boon, W. M.
AU - Balbarini, Nicola
AU - Binning, Philip John
AU - Nordbotten, J. M.
PY - 2017
Y1 - 2017
N2 - Domain transformation methods are useful techniques for solving problems on non-stationary domains. In this work, we consider the evolution of the water table in an unconfined aquifer. This nonlinear, time-dependent problem is greatly simplified by using a mapping from the physical domain to a reference domain and is then further reduced to a single, (nonlinear) partial differential equation. We show well-posedness of the approach and propose a stable and convergent discretization scheme. Numerical results are presented supporting the theory.
AB - Domain transformation methods are useful techniques for solving problems on non-stationary domains. In this work, we consider the evolution of the water table in an unconfined aquifer. This nonlinear, time-dependent problem is greatly simplified by using a mapping from the physical domain to a reference domain and is then further reduced to a single, (nonlinear) partial differential equation. We show well-posedness of the approach and propose a stable and convergent discretization scheme. Numerical results are presented supporting the theory.
KW - Domain tranformation
KW - Water table evolution
KW - Finite element method
U2 - 10.1007/s10596-016-9597-9
DO - 10.1007/s10596-016-9597-9
M3 - Journal article
VL - 21
SP - 3
EP - 11
JO - Computational Geosciences
JF - Computational Geosciences
SN - 1420-0597
IS - 1
ER -