Efficient water table evolution discretization using domain transformation
Peer reviewed, Journal article
Published version
Åpne
Permanent lenke
https://hdl.handle.net/1956/18158Utgivelsesdato
2017-02Metadata
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Originalversjon
https://doi.org/10.1007/s10596-016-9597-9Sammendrag
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.