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In this paper, we develop a novel phase-field model for fluid-structure interaction (FSI), that is capable to handle very large deformations as well as topology changes like contact of the solid to the domain boundary. The model is based on…

Computational Physics · Physics 2023-05-03 Dominic Mokbel , Helmut Abels , Sebastian Aland

We show the existence of weak solutions to the fluid-structure interaction problem of a largely deforming viscoelastic bulk solid with a viscous fluid governed by the incompressible Navier-Stokes equations. In contrast to previous works,…

Analysis of PDEs · Mathematics 2026-03-13 Antonín Češík , Malte Kampschulte , Sebastian Schwarzacher

Consider the set of equations modeling the motion of a rigid body enclosed in sea ice. Using Hibler's viscous-plastic model for describing sea ice, it is shown by a certain decoupling approach that this system admits a unique, local strong…

Analysis of PDEs · Mathematics 2024-05-31 Tim Binz , Felix Brandt , Matthias Hieber

The weathering crust is a layer of porous ice that can form at the surface of an ice sheet. It grows and decays in response changing weather and climate conditions, affecting the albedo, the melt rate, and the transport of meltwater across…

Geophysics · Physics 2024-05-06 Tilly Woods , Ian J. Hewitt

We consider a free-boundary model for the ice-sheet interacting with an ocean. The model captures the coupling between a viscous geophysical fluid and an elastic interface through kinematic and dynamic boundary conditions that account for…

Analysis of PDEs · Mathematics 2025-12-09 Matthias Hieber , Igor Kukavica , Amjad Tuffaha , Qi Xu

In seasonally ice-covered seas and along the margins of perennial ice pack, i.e. in regions with medium ice concentrations, the ice cover typically consists of separate floes interacting with each other by inelastic collisions. In this…

Other Condensed Matter · Physics 2011-11-15 Agnieszka Herman

This paper is concerned with the diffusion of a fluid through a viscoelastic solid undergoing large deformations. Using ideas from the classical theory of mixtures and a thermodynamic framework based on the notion of maximization of the…

Computational Engineering, Finance, and Science · Computer Science 2015-03-17 Satish Karra

In this paper, we present a novel approach to model the fluid/solid interaction forces in a direct solver of the Navier-Stokes equations based on the volume of fluid interface tracking method. The key ingredient of the model is the explicit…

Fluid Dynamics · Physics 2015-06-16 Kyle Mahady , Shahriar Afkhami , Lou Kondic

Simulation approaches for fluid-structure-contact interaction, especially if requested to be consistent even down to the real contact scenarios, belong to the most challenging and still unsolved problems in computational mechanics. The main…

Computational Engineering, Finance, and Science · Computer Science 2018-09-12 Christoph Ager , Benedikt Schott , Anh-Tu Vuong , Alexander Popp , Wolfgang A. Wall

In this paper we consider a fluid-structure interaction problem given by the steady Navier Stokes equations coupled with linear elasticity taken from [Lasiecka, Szulc, and Zochoswki, Nonl. Anal.: Real World Appl., 44, 2018]. An elastic body…

Optimization and Control · Mathematics 2021-09-07 Michael Hintermüller , Axel Kröner

In this paper we discuss the motion of a beam in interaction with fluids. We allow the beam to move freely in all coordinate directions. We consider the case of a beam situated in between two different fluids as well as the case where the…

Analysis of PDEs · Mathematics 2022-06-17 Malte Kampschulte , Sebastian Schwarzacher , Gianmarco Sperone

Heterogeneous ice growth exhibits a maximum in freezing rate arising from the competition between kinetics and the thermodynamic driving force between the solid and liquid states. Here, we use molecular dynamics simulations to elucidate the…

Soft Condensed Matter · Physics 2013-12-31 Razvan A. Nistor , Thomas E. Markland , B. J. Berne

We study a new fully averaged poroelastic Kirchhoff plate model coupled with the flow of an incompressible, viscous fluid governed by the time-dependent Stokes equations. The fully averaged formulation offers several advantages over the…

Analysis of PDEs · Mathematics 2026-05-20 Felix Brandt , Sunčica Čanić , Andrew Scharf , Josip Tambača

We consider the interaction of a compressible fluid with a flexible plate in two space dimensions. The fluid is described by the Navier--Stokes equations in a domain that is changing in accordance with the motion of the structure. The…

Analysis of PDEs · Mathematics 2024-11-05 Dominic Breit , Arnab Roy

We study a stationary 3D/2D fluid-structure interaction problem between an elastic structure described by the linear plate equation and a fluid described by the compressible Navier-Stokes equations with hard-sphere pressure and…

Analysis of PDEs · Mathematics 2026-03-30 Boris Muha , Šárka Nečasová , Milan Pokorný , Srđan Trifunović , Justin T. Webster

The structure of polar liquids and electrolytic solutions, such as water and aqueous electrolytes, at interfaces underlies numerous phenomena in physics, chemistry, biology, and engineering. In this work, we develop a continuum theory that…

Soft Condensed Matter · Physics 2022-07-13 J. Pedro de Souza , Alexei A. Kornyshev , Martin Z. Bazant

Experiments investigating the attenuation and dispersion of surface waves in a variety of ice covers are performed using a refrigerated wave flume. The ice conditions tested in the experiments cover naturally occurring combinations of…

Atmospheric and Oceanic Physics · Physics 2019-02-15 L. J. Yiew , S. M. Parra , D. Wang , D. K. K. Sree , A. V. Babanin , A. W. -K. Law

In this article we consider two different heat conducting fluids each modelled by the incompressible Navier-Stokes-Fourier system separated by a non-linear elastic Koiter shell. The motion of the shell changes the domain of definition of…

Analysis of PDEs · Mathematics 2026-02-12 Sourav Mitra , Sebastian Schwarzacher

In this paper, we derive the equations of motion for an elastic body interacting with a perfect fluid via the framework of Lagrange-Poincare reduction. We model the combined fluid-structure system as a geodesic curve on the total space of a…

Dynamical Systems · Mathematics 2015-04-06 Henry O. Jacobs , Joris Vankerschaver

At near-grounded glacier termini, calving can lead to the capsize of kilometer-scale unstable icebergs. The transient contact force applied by the capsizing iceberg on the glacier front generates seismic waves that propagate over…