
Application of Reduced Quadrature-Based Hyper-Reduction to Fluid-Structure Interaction Problems
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Inspired by insects’ and birds’ flapping flight with effective aerodynamic performance, many researchers have been challenging to develop flapping-wing micro air vehicles. Since simulation-based design can reduce the time and cost in experiments, it has a potential to much accelerate the development process. Therefore, I previously developed a 3D parallel FSI analysis system to investigate flapping motions [1]. The developed system was able to perform large-scale analyses within practical computational time. However, for the product design, it is demanded to perform an intensive parametric study for a wide range of combinations of various flapping motions such as flapping, pitching and lead-lag. Therefore, it is necessary to accelerate the 3D FSI analysis. To speed up parametric studies, reduced-order modeling is often used. Among various reduced-order modeling techniques, the combination between low-dimensional approximation by using the proper orthogonal decomposition (POD) and Galerkin method is a promising approach. In my previous work, an application of POD-Galerkin method to 2D FSI analysis was shown [2]. However, the POD-Galerkin has a well-known drawback that the computation of Galerkin projection is heavy, which overshadows the reduction of computational cost for simultaneous equations. For the acceleration of POD-Galerkin analysis, a hyper-reduction method [3], which approximately calculates Galarkin projection, is effective. A hyper-reduction method allows to avoid the full-domain integration. As a result, great speed-up is realized. Although several hyper-reduction methods have been proposed, a reduced quadrature is widely used. The purpose of the present study is to develop a hyper-reduced-order model of FSI analyses. In the present study, firstly, hyper-reduced-order models of sub-systems (fluid solver, structural solver, mesh motion solver) are developed. Then, these three models are combined by the partitioned iterative method, which is one of the coupling schemes. REFERENCES [1] G. Hong, S. Kaneko, N. Mitsume, T. Yamada, and S. Yoshimura, “Robust fluid–structure interaction analysis for parametric study of flapping motion”, Finite Elem. Anal. Des., 183-184, 103494 (2021). [2] S. Kaneko and S. Yoshimura, “POD-Galerkin FSI Analysis for Flapping Motion”, Biomimetics, 8, 523 (2023). [3] S. Kaneko, H. Wei, Q. He, S. Yoshimura, and J.S. Chen, “A hyper-reduction computational method for accelerated modeling of thermal cycling-induced plastic def