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Main Authors: Guo, Shihan, Lin, Ping, Wang, Yifan, Yue, Xiaohe, Zheng, Haibiao
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2510.13096
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author Guo, Shihan
Lin, Ping
Wang, Yifan
Yue, Xiaohe
Zheng, Haibiao
author_facet Guo, Shihan
Lin, Ping
Wang, Yifan
Yue, Xiaohe
Zheng, Haibiao
contents We propose an explicit partitioned (loosely coupled) scheme for fluid structure interaction (FSI) problems, specifically designed to achieve high computational efficiency in modern engineering simulations. The FSI problem under consideration involves an incompressible viscous fluid, governed by the Navier-Stokes equations, with a thick linear elastic structure. The scheme adopts a Robin-Robin coupling condition, evaluating the right-hand side of the Robin boundary terms at each time step solely from the previous-step solutions. This explicit scheme allows the fluid and structure subproblems to be solved entirely independently within each time step, eliminating the need for staggered coupling or costly sub-iterations, which makes the method highly efficient and scalable for parallel computation. %More importantly, the proposed explicit scheme is inherently free from the added-mass effect guarantees unconditional stability. Various of numerical experiments demonstrate the stability, accuracy, and superior computational efficiency of the proposed approach, highlighting its strong potential for large scale parallel FSI computations in engineering applications.
format Preprint
id arxiv_https___arxiv_org_abs_2510_13096
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle An Unconditionally Stable Explicit Robin-Robin Partitioned Scheme for Fluid-Structure Interaction
Guo, Shihan
Lin, Ping
Wang, Yifan
Yue, Xiaohe
Zheng, Haibiao
Numerical Analysis
We propose an explicit partitioned (loosely coupled) scheme for fluid structure interaction (FSI) problems, specifically designed to achieve high computational efficiency in modern engineering simulations. The FSI problem under consideration involves an incompressible viscous fluid, governed by the Navier-Stokes equations, with a thick linear elastic structure. The scheme adopts a Robin-Robin coupling condition, evaluating the right-hand side of the Robin boundary terms at each time step solely from the previous-step solutions. This explicit scheme allows the fluid and structure subproblems to be solved entirely independently within each time step, eliminating the need for staggered coupling or costly sub-iterations, which makes the method highly efficient and scalable for parallel computation. %More importantly, the proposed explicit scheme is inherently free from the added-mass effect guarantees unconditional stability. Various of numerical experiments demonstrate the stability, accuracy, and superior computational efficiency of the proposed approach, highlighting its strong potential for large scale parallel FSI computations in engineering applications.
title An Unconditionally Stable Explicit Robin-Robin Partitioned Scheme for Fluid-Structure Interaction
topic Numerical Analysis
url https://arxiv.org/abs/2510.13096