Existence of a weak solution to the fluid-structure interaction problem in 3D

Trifunović, Srđan; Wang, Yaguang

doi:10.1016/j.jde.2019.09.002

Cited by 27 publications

(16 citation statements)

References 22 publications

(62 reference statements)

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“…They use Standard ⱪε, RNG ⱪ-ε as Turbulence Model. The consequences confirmed that the impact of distinctive turbulence fashions on the speed discipline is less, on the stress discipline is pretty large, and on the cost of the whole torque is a good deal large [4].…”

Section: Literature Reviewmentioning

confidence: 72%

FSI in Wind Turbines: A Review

Patel

2020

Int. J. Recent Contrib. Eng. Sci. IT

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This paper provides a brief overview of the research in the field of Fluid-structure interaction in Wind Turbines. Fluid-Structure Interaction (FSI) is the interplay of some movable or deformable structure with an internal or surrounding fluid flow. Flow brought about vibrations of two airfoils used in wind turbine blades are investigated by using a strong coupled fluid shape interplay approach. The approach is based totally on a regularly occurring Computational Fluid Dynamics (CFD) code that solves the Navier-Stokes equations defined in Arbitrary Lagrangian-Eulerian (ALE) coordinates by way of a finite extent method. The need for the FSI in the wind Turbine system is studied and comprehensively presented.

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Section: Literature Reviewmentioning

confidence: 72%

FSI in Wind Turbines: A Review

Patel

2020

Int. J. Recent Contrib. Eng. Sci. IT

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“…However, most of the results concern the incompressible fluid case. The results on the existence of a weak solution typically deal with FSI problems where the elastic structure is described by a lower dimensional model of a plate/shell type, see [47,8,21,37,46,55] and references within. Exceptions are works [1,48] where the existence of a weak solution to FSI problems involving regularized, nonlinear, 3D viscoelastic structure and linear multilayered structure, respectively, were proven.…”

Section: Motivation and Literature Reviewmentioning

confidence: 99%

Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange

Mácha¹,

Muha²,

Nečasová³

et al. 2021

Preprint

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In this paper, we study a nonlinear interaction problem between a thermoelastic shell and a heat-conducting fluid. The shell is governed by linear thermoelasticity equations and encompasses a time-dependent domain which is filled with a fluid governed by the full Navier-Stokes-Fourier system. The fluid and the shell are fully coupled, giving rise to a novel nonlinear moving boundary fluidstructure interaction problem involving heat exchange. The existence of a weak solution is obtained by combining three approximation techniques -decoupling, penalization and domain extension. This approximation scheme allows us to use the methods already developed for fluids on moving domains, thus drastically simplifying the analysis at hand.

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“…), readers are refer to e.g. [8,15,35,47] for weak solution results. Considering strong solutions, one can find related results in e.g.…”

Section: Introductionmentioning

confidence: 99%

On a fluid-structure interaction problem for plaque growth: cylindrical domain

Abels¹,

Liu²

2021

Preprint

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This paper concerns a free-boundary fluid-structure interaction problem for plaque growth proposed by Yang et al. [J. Math. Biol., 72(4):973-996, 2016] with additional viscoelastic effects, which was also investigated by the authors [arXiv preprint: 2110[arXiv preprint: .00042, 2021. Compared to it, the problem is posed in a cylindrical domain with ninety-degree contact angles, which brings additional difficulties when we deal with the linearization of the system. By a reflection argument, we obtain the existence and uniqueness of strong solutions to the model problems for the linear systems, which are then shown to be well-posed in a cylindrical (annular) domain via a localization procedure. Finally, we prove that the full nonlinear system admits a unique strong solution locally with the aid of the contraction mapping principle.

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Existence of a weak solution to the fluid-structure interaction problem in 3D

Cited by 27 publications

References 22 publications

FSI in Wind Turbines: A Review

FSI in Wind Turbines: A Review

Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange

On a fluid-structure interaction problem for plaque growth: cylindrical domain

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