Efficient water table evolution discretization using domain transformation

W. M. Boon; Nicola Balbarini; Philip John Binning; J. M. Nordbotten

doi:10.1007/s10596-016-9597-9

Efficient water table evolution discretization using domain transformation

W. M. Boon, Nicola Balbarini, Philip John Binning, J. M. Nordbotten

Department of Environmental Engineering

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Abstract

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.

Original language	English
Journal	Computational Geosciences
Volume	21
Issue number	1
Pages (from-to)	3-11
Number of pages	9
ISSN	1420-0597
DOIs	https://doi.org/10.1007/s10596-016-9597-9
Publication status	Published - 2017

Keywords

Domain tranformation
Water table evolution
Finite element method

Cite this

Boon, W. M., Balbarini, N., Binning, P. J., & Nordbotten, J. M. (2017). Efficient water table evolution discretization using domain transformation. Computational Geosciences, 21(1), 3-11. https://doi.org/10.1007/s10596-016-9597-9

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Access to Document

10.1007/s10596-016-9597-9

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