Shape Optimisation of Fluid-Structure Interactive Field Considering Geometrically Nonlinear Structure

IF 1.1 4区工程技术 Q4 MECHANICS

International Journal of Computational Fluid Dynamics Pub Date : 2022-02-07 DOI:10.1080/10618562.2022.2052282

E. Katamine, Ryuga Kawai, Yasushi Yoshida

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引用次数: 0

Abstract

This paper presents a numerical solution to a shape optimisation of stationary fluid-structure-interactive (FSI) fields. The minimisation problem for total dissipation energy in the viscous flow field and the mean compliance minimisation problem in order to achieve stiffness maximisation in the structural field are considered for the shape optimisation. In the FSI analysis, a weak coupled analysis is used to alternately analyse the governing equations of the flow field and the structural field considering geometrically nonlinear. Shape derivative function of the shape optimisation problem is derived theoretically using the adjoint variable method and the formulae of the shape derivative with respect to domain variation of the distribution function. Reshaping is carried out by the gradient method proposed as an approach to solving shape optimisation. Numerical analysis program for the shape optimisation problem is developed by using FreeFEM, and the validity of the proposed method is confirmed by the results of 2D problems.

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考虑几何非线性结构的流固耦合场形状优化

本文给出了一个求解静止流固耦合场形状优化问题的数值解。在形状优化中考虑了粘滞流场中总耗散能的最小化问题和结构场中刚度最大化的平均柔度最小化问题。在FSI分析中，考虑几何非线性，采用弱耦合分析交替分析流场和结构场的控制方程。利用伴随变量法，从理论上推导了形状优化问题的形状导数函数，并给出了形状导数对分布函数域变分的表达式。通过提出的求解形状优化的梯度方法进行整形。利用FreeFEM开发了形状优化问题的数值分析程序，并通过二维问题的结果验证了所提方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Computational Fluid Dynamics 物理-力学

CiteScore

2.70

自引率

7.70%

发文量

审稿时长

3 months

期刊介绍： The International Journal of Computational Fluid Dynamics publishes innovative CFD research, both fundamental and applied, with applications in a wide variety of fields. The Journal emphasizes accurate predictive tools for 3D flow analysis and design, and those promoting a deeper understanding of the physics of 3D fluid motion. Relevant and innovative practical and industrial 3D applications, as well as those of an interdisciplinary nature, are encouraged.