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Strong form-based meshfree collocation method for wind-driven ocean circulation

机译：用于风力驱动海洋循环的强大形式的网格暴露方法

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摘要

A meshfree point collocation method for modeling large scale wind-driven ocean circulation is proposed. A distinct feature of the method is its ability to represent derivative operators via moving least-square approximation of the Taylor expansion through point-wise computations at collocation points. The method directly discretizes strong forms using the precomputed derivative operators at each collocation point. Numerical studies with three benchmark problems are performed to demonstrate the accuracy and robustness of the method. Along with these studies, an examination is presented regarding the effect of numerical parameters on the error behavior of the proposed method. Finally, wind-driven ocean circulation in the Mediterranean Sea is examined to test the method's ability to model realistic oceanic flow with arbitrary shaped coastal lines. (C) 2019 Elsevier B.V. All rights reserved.
机译：提出了一种用于建模大型风力驱动海洋循环的网图分配方法。该方法的独特特征是其能够通过Collocation点处通过点亮计算来通过移动泰勒扩展的最小二乘近似来表示导数运营商。该方法使用每个搭配点处使用预先计算的导数运算符直接离散强度形式。进行三个基准问题的数值研究进行了展示该方法的准确性和鲁棒性。随着这些研究，介绍了关于数值参数对所提出的方法误差行为的影响的检查。最后，检查了地中海的风力海洋循环，以测试该方法与任意形状的沿海线路建模逼真的海洋流量的能力。 （c）2019 Elsevier B.v.保留所有权利。

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