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

Al Balushi Ibrahim; Jiang Wen; Tsogtgerel Gantumur; Kim Tae-Yeon

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

机译：基于B样条的有限元方法对风驱动海洋环流建模的适应性

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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. (C) 2017 Elsevier B.V. All rights reserved.

机译：本文提出了一种基于B样条的有限元逼近的自适应细化算法，适用于大规模风驱动洋流。特别地，我们集中于平稳准地转方程的简化线性模型，即Stommel-Munk模型，它是四阶偏微分方程的后验误差分析。该分析为Nitsche型有限元公式的局部改进提供了后验误差估计。进行了带有几个基准示例的数值实验，以测试后验误差指示器在矩形和L形几何形状上的功能。（C）2017 Elsevier B.V.保留所有权利。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2018年第15期|1-24|共24页
作者
Al Balushi Ibrahim; Jiang Wen; Tsogtgerel Gantumur; Kim Tae-Yeon;
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作者单位

McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada;

Idaho Natl Lab, Fuels Modeling & Simulat, Idaho Falls, ID 83415 USA;

McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada;

Khalifa Univ Sci & Technol, Civil Infrastruct & Environm Engn, Abu Dhabi 127788, U Arab Emirates;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Adaptivity; B-splines; Nitsche's method; Large-scale ocean circulation; finite-element method;

机译：适应性;B样条;尼采法;大规模海洋环流;有限元法;

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专利

1. Error Analysis of a B-Spline Based Finite-Element Method for Modeling Wind-Driven Ocean Circulation [J] . Rotundo Nella, Kim Tae-Yeon, Jiang Wen, Journal of Scientific Computing . 2016,第1期

机译：基于B样条的有限元法模拟风环流的误差分析
2. Error estimates of B-spline based finite-element methods for the stationary quasi-geostrophic equations of the ocean [J] . Kim Dohyun, Kim Tae-Yeon, Park Eun-Jae, Computer Methods in Applied Mechanics and Engineering . 2018,第JUNa15期

机译：基于B样条的海洋固定准地转方程的有限元方法的误差估计
3. C-0- discontinuous Galerkin methods for a wind-driven ocean circulation model: Two-grid algorithm [J] . Shin Dong-wook, Kang Younghun, Park Eun-Jae Computer Methods in Applied Mechanics and Engineering . 2018,第jana1期

机译：风驱动海洋环流模型的C-0不连续Galerkin方法：两网格算法
4. An application of a prismatic spectral /hp element ocean model to a wind-driven circulation [C] . Hideaki Kitauchi 日本流体力学会年会 . 2000

机译：棱镜/ HP元件海洋模型在风力驱动循环中的应用
5. Parameter estimation in coupled ocean-atmosphere general circulation model using the Ensemble based Filter Method [D] . Liu, Yun 2014

机译：基于集合的滤波法耦合海洋气氛通用循环模型的参数估计
6. Utilization of a hybrid finite-element based registration method to quantify heterogeneous tumor response for adaptive treatment for lung cancer patients [O] . Hoda Sharifi, Hong Zhang, Hassan Bagher-Ebadian, -1

机译：利用基于混合有限元的配准方法量化异质性肿瘤反应以适应性治疗肺癌患者
7. Spectrum analysis of inertial and subinertial motions based on analyzed winds and wind-driven currents from a primitive equation general ocean circulation model [O] . Gural Nicholas D. 1982

机译：基于原始方程式一般海洋环流模型的分析风和风流，对惯性和亚惯性运动进行频谱分析

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

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