论文丨Qijia Zhai, Shiquan Zhang, Pengtao Sun and Xiaoping Xie.：A projection-based time-segmented reduced order model for fluid-structure interactions

本文（A projection-based time-segmented reduced order model for fluid-structure interactions. Journal of Computational Physics）原载Journal of Computational Physics ，由四川大学张世全副教授等科研人员创作，系四川大学智慧法治超前部署学科系列学术成果。后续会持续分享四川大学智慧法治超前部署学科系列学术成果，欢迎大家阅读。

Abstract:In this paper, a type of novel projection-based, time-segmented reduced order model (ROM) is proposed for dynamic fluid-structure interaction (FSI) problems based upon the arbitrary Lagrangian–Eulerian (ALE)-finite element method (FEM) in a monolithic frame, where spatially, each variable is separated from others in terms of their attribution (fluid/structure), category (velocity/pressure) and component (two/three dimension) while temporally, the proper orthogonal decomposition (POD) bases are constructed in some deliberately partitioned time segments tailored through extensive numerical trials. By the combination of spatial and temporal decompositions, the developed ROM approach enables prolonged simulations under prescribed accuracy thresholds. Numerical experiments are carried out to compare numerical performances of the proposed ROM with corresponding full-order model (FOM) by solving a two-dimensional FSI benchmark problem that involves a vibrating elastic beam in the fluid, where the performance of offline ROM on perturbed physical parameters in the online phase is investigated as well. Extensive numerical results demonstrate that the proposed ROM has a comparable accuracy to while much higher efficiency than the FOM. The developed ROM approach is dimension-independent and can be seamlessly extended to solve high dimensional FSI problems  .

Qijia Zhai, Shiquan Zhang, Pengtao Sun and Xiaoping Xie. A projection-based time-segmented reduced order model for fluid-structure interactions. Journal of Computational Physics.Volume 520, 2025, 113481.（论文下载）