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A polytree-based adaptive polygonal finite element method for topology optimization of fluid-submerged breakwater interaction

机译:基于多树的自适应多边形有限元法用于淹没式防波堤相互作用的拓扑优化

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The polytree-based adaptive polygonal finite element method was recently proved to be very efficient for a wide class of mechanics problems. In this study, we further exploit its advantages for topology optimization of fluid-submerged breakwater interaction. Due to the inherent limitations of triangular and quadrilateral elements for topology optimization, an alternative formulation of using arbitrary polygons based on the Wachspress coordinate is employed for structural domain. In addition, we use a polytree-based adaptive technique to enhance the accuracy for topology problem in structural domain with a minimum number of degrees of freedom (DOF). We apply this method to fluid-structure interaction (FSI) problems and then finding an optimal shape of submerged breakwater (SBW), which is as a special kind of coastal structure located in front of the beach and underwater to protect the landside from the erosion. Several numerical results demonstrate the effectiveness of the present method. It is observed that the obtained results are in good agreement with reference solutions. (C) 2018 Elsevier Ltd. All rights reserved.
机译:最近,基于多树的自适应多边形有限元方法被证明对于解决各种力学问题非常有效。在这项研究中,我们进一步利用其优势来优化淹没式防波堤相互作用的拓扑结构。由于三角形和四边形元素用于拓扑优化的固有局限性,因此在结构域中采用了基于Wachspress坐标的使用任意多边形的另一种表示方式。此外,我们使用基于多树的自适应技术,以最少的自由度(DOF)数来提高结构域中拓扑问题的准确性。我们将此方法应用于流固耦合问题(FSI),然后找到淹没式防波堤(SBW)的最佳形状,这是位于海滩和水下前的一种特殊的海岸结构,可保护陆地免受侵蚀。几个数值结果证明了本方法的有效性。可以看出,获得的结果与参考溶液非常吻合。 (C)2018 Elsevier Ltd.保留所有权利。

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