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We present a strongly-coupled immersed-boundary method for flow-structure interaction problems involving thin deforming bodies. The method is stable for arbitrary choices of solid-to-fluid mass ratios and for large body motions. As with…

Fluid Dynamics · Physics 2016-10-05 Andres Goza , Tim Colonius

Reconstruction of fine-scale information from sparse data is relevant to many practical fluid dynamic applications where the sensing is typically sparse. Fluid flows in an ideal sense are manifestations of nonlinear multiscale PDE dynamical…

Computational Physics · Physics 2020-10-28 Chen Lu , Balaji Jayaraman

We consider a general class of nonlinear diffusive models with bulk dissipation and boundary driving, and derive its hydrodynamic description in the large size limit. Both the average macroscopic behavior and the fluctuating properties of…

Statistical Mechanics · Physics 2013-10-29 A. Prados , A. Lasanta , Pablo I. Hurtado

A microfluidic device is constructed from PDMS with a single channel having a short section that is a thin flexible membrane, in order to investigate the complex fluid-structure interaction that arises between a flowing fluid and a…

Soft Condensed Matter · Physics 2020-07-03 Debadi Chakraborty , J. Ravi Prakash , Leslie Yeo , James Friend

In this work, we study the local wellposedness of the solution to a nonlinear elliptic-dispersive coupled system which serves as a model for a Micro-Electro-Mechanical System (MEMS). A simple electrostatically actuated MEMS capacitor device…

Analysis of PDEs · Mathematics 2023-06-28 Heiko Gimperlein , Runan He , Andrew A. Lacey

In this paper, we extend our study of mass transport in multicomponent isothermal fluids to the incompressible case. For a mixture, incompressibility is defined as the independence of average volume on pressure, and a weighted sum of the…

Analysis of PDEs · Mathematics 2020-05-26 Dieter Bothe , Pierre-Etienne Druet

The large deflections of panels in subsonic flow are considered. Specifically, a fully clamped von Karman plate accounting for both rotational inertia in plate filaments and structural damping of square root type is considered. The panel is…

Analysis of PDEs · Mathematics 2020-03-23 Abhishek Balakrishna , Justin T. Webster

We study a nonlinear, unsteady, moving boundary, fluid-structure (FSI) problem in which the structure is composed of two layers: a thin layer which is in contact with the fluid, and a thick layer which sits on top of the thin structural…

Analysis of PDEs · Mathematics 2013-05-24 Boris Muha , Suncica Canic

Within a general theoretical framework we study the effective, deformation-induced interaction between two colloidal particles trapped at a fluid interface in the regime of small deformations. In many studies, this interaction has been…

Soft Condensed Matter · Physics 2010-06-18 Alvaro Dominguez , Martin Oettel , Siegfried Dietrich

We perform high-fidelity, two-dimensional (2D), fluid-structure interaction (FSI) simulations at a Reynolds number of $Re=200$ of uniform flow past an inverted flag (i.e., clamped at its trailing edge). The inverted flag system can exhibit…

Fluid Dynamics · Physics 2021-05-04 Andres Goza

For problems involving large deformations of thin structures, simulating fluid-structure interaction (FSI) remains challenging largely due to the need to balance computational feasibility, efficiency, and solution accuracy. Overlapping…

Computational Engineering, Finance, and Science · Computer Science 2020-03-18 Maximilian Balmus , Andre Massing , Johan Hoffman , Reza Razavi , David Nordsletten

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

We study an elliptic-parabolic system of partial differential equations describing formation of biological network structures. The model takes into consideration the evolution of the permeability tensor under the influence of a diffusion…

Analysis of PDEs · Mathematics 2021-11-09 Jan Haskovec , Peter Markowich , Giulia Pilli

In civil, mechanical, and aerospace engineering, structural dynamics is commonly understood to be a discipline concerned with the analysis and characterization of the vibratory response of structures. Key elements of the response are the…

Applied Physics · Physics 2018-09-13 Clemence L. Bacquet , Mahmoud I. Hussein

Fluid-structure interaction (FSI) simulation of biological systems presents significant computational challenges, particularly for applications involving large structural deformations and contact mechanics, such as heart valve dynamics.…

Quantitative Methods · Quantitative Biology 2026-02-13 Ryan T. Black , Steve A. Maas , Wensi Wu , Jalaj Maheshwari , Tzanio Kolev , Jeffrey A. Weiss , Matthew A. Jolley

Phononic materials (PMs) are periodic media that exhibit novel elastodynamic responses. While PMs have made progress in vibration-mitigation applications, recent studies have demonstrated the potential of PMs to passively and adaptively…

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

This paper describes a novel partitioned algorithm for fluid-structure interaction (FSI) problems that couples the motion of rigid bodies and incompressible flow. This is the first partitioned algorithm that remains stable and second-order…

Numerical Analysis · Mathematics 2018-08-15 J. W. Banks , W. D. Henshaw , D. W. Schwendeman , Qi Tang

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

An interface control principle is proposed for unsteady fluid-structure in- teraction (FSI) analyses. This principle introduces a method of explicitly controlling the interface motion in the temporal direction to minimize the residual force…

Fluid Dynamics · Physics 2025-10-21 Chungil Lee , Yoshiaki Abe , Yu Kawano , Tomoki Yamazaki