Adaptivity of a B-spline based finite-element method for modeling wind-driven ocean circulation

Ibrahim Al Balushi, Wen Jiang, Gantumur Tsogtgerel, Tae Yeon Kim

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

This paper presents an adaptive refinement algorithm of a B-spline based finite-element approximation of the streamfunction formulation for the large scale wind-driven ocean currents. In particular, we focus on a posteriori error analysis of the simplified linear model of the stationary quasi-geostrophic equations, namely the Stommel–Munk model, which is the fourth-order partial differential equation. The analysis provides a posteriori error estimator for the local refinement of the Nitsche-type finite-element formulation. Numerical experiments with several benchmark examples are performed to test the capability of the posteriori error indicator on rectangular and L-shape geometries.

Original languageBritish English
Pages (from-to)1-24
Number of pages24
JournalComputer Methods in Applied Mechanics and Engineering
Volume332
DOIs
StatePublished - 15 Apr 2018

Keywords

  • Adaptivity
  • B-splines
  • finite-element method
  • Large-scale ocean circulation
  • Nitsche's method

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