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We study a fluid-structure interaction problem between a viscous incompressible fluid and an elastic beam with fixed endpoints in a static setting. The 3D fluid domain is bounded, nonsmooth and non simply connected, the fluid is modeled by…

Analysis of PDEs · Mathematics 2026-01-30 Vincenzo Bianca , Edoardo Bocchi , Filippo Gazzola

In this paper, new unfitted mixed finite elements are presented for elliptic interface problems with jump coefficients. Our model is based on a fictitious domain formulation with distributed Lagrange multiplier. The relevance of our…

Numerical Analysis · Mathematics 2023-09-15 Najwa Alshehri , Daniele Boffi , Lucia Gastaldi

We present a novel computational modeling framework to numerically investigate fluid-structure interaction in viscous fluids using the phase field embedding method. Each rigid body or elastic structure immersed in the incompressible viscous…

Fluid Dynamics · Physics 2021-09-16 Qi Hong , Qi Wang

In this paper, we study the fluid-structure interaction (FSI) of a three-dimensional (3D) flexible membrane immersed in an unsteady separated flow at moderate Reynolds numbers. We employ a body-conforming variational FSI solver based on the…

Fluid Dynamics · Physics 2023-06-22 Guojun Li , Rajeev Kumar Jaiman , Boo Cheong Khoo

We study the existence of weak martingale solutions to a stochastic moving boundary problem arising from the interaction between an isentropic compressible fluid and a viscoelastic structure. In the model, we consider a three-dimensional…

Analysis of PDEs · Mathematics 2025-05-22 Jeffrey Kuan , Krutika Tawri

We present novel coupling schemes for partitioned multi-physics simulation that combine four important aspects for strongly coupled problems: implicit coupling per time step, fast and robust acceleration of the corresponding iterative…

Numerical Analysis · Mathematics 2020-09-21 Benjamin Rüth , Benjamin Uekermann , Miriam Mehl , Philipp Birken , Azahar Monge , Hans-Joachim Bungartz

In this paper, we study a dynamic fluid-structure interaction (FSI) model for an elastic structure that is immersed and spinning in the fluid. We develop a linear constitutive model to describe the motion of a rotational elastic structure…

Numerical Analysis · Mathematics 2016-11-03 Kai Yang , Pengtao Sun , Lu Wang , Jinchao Xu , Lixiang Zhang

In this article we describe a stable partitioned algorithm that overcomes the added mass instability arising in fluid-structure interactions of light rigid bodies and inviscid compressible flow. The new algorithm is stable even for bodies…

Numerical Analysis · Mathematics 2015-06-11 J. W. Banks , W. D. Henshaw , B. Sjogreen

A novel method for complex fluid-structure interaction (FSI) involving large structural deformation and motion is proposed. The new approach is based on a hybrid fluid formulation that combines the advantages of purely Eulerian (fixed-grid)…

Computational Engineering, Finance, and Science · Computer Science 2018-08-02 Benedikt Schott , Christoph Ager , Wolfgang A. Wall

The interaction between thin structures and incompressible Newtonian fluids is ubiquitous both in nature and in industrial applications. In this paper we present an isogeometric formulation of such problems which exploits a boundary…

Numerical Analysis · Mathematics 2017-02-17 Luca Heltai , Josef Kiendl , Antonio DeSimone , Alessandro Reali

We consider a Navier-Stokes fluid-plate interaction (FSI) system which describes the evolutions of the fluid contained within a 3D cavity, as it interacts with a deformable elastic membrane on the ``free" upper boundary of the cavity. These…

Analysis of PDEs · Mathematics 2025-07-04 Pelin G. Geredeli , Quyuan Lin , Dylan Mcknight , Mohammad Mahabubur Rahman

Multilayered poroelastic structures are found in many biological tissues such as cartilage and the cornea, and play a key role in the design of bioartificial organs and other bioengineering applications. Motivated by these applications, we…

Numerical Analysis · Mathematics 2025-07-15 Andrew Scharf , Martina Bukač , Sunčica Čanić

An important ingredient of any moving-mesh method for fluid-structure interaction (FSI) problems is the mesh deformation technique (MDT) used to adapt the computational mesh in the moving fluid domain. An ideal technique is computationally…

Computational Engineering, Finance, and Science · Computer Science 2020-06-26 Alexander Shamanskiy , Bernd Simeon

A new consistent, spatially adaptive, smoothed particle hydrodynamics (SPH) method for Fluid-Structure Interactions (FSI) is presented. The method combines several attributes that have not been simultaneously satisfied by other SPH methods.…

Fluid Dynamics · Physics 2019-02-20 Wei Hu , Guannan Guo , Xiaozhe Hu , Dan Negrut , Zhijie Xu , Wenxiao Pan

In this paper, we develop a new mass conservative numerical scheme for the simulations of a class of fluid-structure interaction problems. We will use the immersed boundary method to model the fluid-structure interaction, while the fluid…

Numerical Analysis · Mathematics 2018-06-21 Siu Wun Cheung , Eric Chung , Hyea Hyun Kim

Cable subsystems characterized by long, slender, and flexible structural elements are featured in numerous engineering systems. In each of them, interaction between an individual cable and the surrounding fluid is inevitable. Such a…

Computational Engineering, Finance, and Science · Computer Science 2019-11-11 Daniel Z. Huang , Philip Avery , Charbel Farhat

In the previous work, Zhang et al. proposed a multi-resolution smoothed particle hydrodynamics (SPH) method for fluid-structure interactions (FSI) with achieving an optimized computational efficiency meanwhile maintaining good numerical…

Fluid Dynamics · Physics 2022-05-03 Chi Zhang , Yujie Zhu , Xiangyu Hu

Fluid-structure interaction (FSI) problems are pervasive in the computational engineering community. The need to address challenging FSI problems has led to the development of a broad range of numerical methods addressing a variety of…

Numerical Analysis · Mathematics 2024-09-23 Andreas Hessenthaler , Maximilian Balmus , Oliver Röhrle , David Nordsletten

This paper presents a numerical method for the simulation of fluid-structure interaction specifically tailored to interactions between Newtonian fluids and a large number of slender viscoelastic Cosserat rods. Because of their high…

Soft Condensed Matter · Physics 2022-01-13 S. Tschisgale , J. Fröhlich

We prove the existence of finite-energy weak solutions to a regularized three-dimensional fluid-structure interaction (FSI) problem involving an incompressible, viscous, Newtonian fluid and a multilayered poro(visco)elastic structure. The…

Analysis of PDEs · Mathematics 2025-08-21 Felix Brandt , Sunčica Čanić , Boris Muha