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

doi:10.1016/j.cma.2017.12.008

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

Civil & Environmental Engineering

Research output: Contribution to journal › Article › peer-review

8 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 language	British English
Pages (from-to)	1-24
Number of pages	24
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	332
DOIs	https://doi.org/10.1016/j.cma.2017.12.008
State	Published - 15 Apr 2018

Keywords

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

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10.1016/j.cma.2017.12.008

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

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.",

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AU - Al Balushi, Ibrahim

AU - Jiang, Wen

AU - Tsogtgerel, Gantumur

AU - Kim, Tae Yeon

PY - 2018/4/15

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N2 - 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.

AB - 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.

KW - Adaptivity

KW - B-splines

KW - finite-element method

KW - Large-scale ocean circulation

KW - Nitsche's method

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JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

ER -

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

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Keywords

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