Efficient water table evolution discretization using domain transformation

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

Research output: Contribution to journalJournal articleResearchpeer-review

251 Downloads (Pure)

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 languageEnglish
JournalComputational Geosciences
Volume21
Issue number1
Pages (from-to)3-11
Number of pages9
ISSN1420-0597
DOIs
Publication statusPublished - 2017

Keywords

  • Domain tranformation
  • Water table evolution
  • Finite element method

Cite this