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We investigate the effective coupling between heat and fluid dynamics within a thin fluid layer in contact with a solid structure via a rough surface. Moreover, the opposing vertical surfaces of the thin layer are in relative motion. This…

偏微分方程分析 · 数学 2026-04-17 Tom Freudenberg , Michael Eden

We consider an viscous, incompressible Newtonian fluid flowing through a thin elastic structure. The motion of the structure is described by the equations of a linearised Koiter shell, whose motion is restricted to transverse displacements.…

偏微分方程分析 · 数学 2018-07-20 Hannes Eberlein , Michael Ruzicka

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…

最优化与控制 · 数学 2021-09-07 Michael Hintermüller , Axel Kröner

We propose a two-dimensional flow model of a viscous fluid between two close moving surfaces. We show that its asymptotic behavior, when the distance between the two surfaces tends to zero, is the same as that of the the Navier-Stokes…

偏微分方程分析 · 数学 2022-06-09 José M. Rodríguez , Raquel Taboada-Vázquez

A stable added-mass partitioned (AMP) algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and compressible elastic solids. Deforming composite grids are used to effectively handle the…

We consider a coupled system of partial differential equations describing the interactions between a closed free interface and two viscous incompressible fluids. The fluids are assumed to satisfy the incompressible Navier-Stokes equations…

最优化与控制 · 数学 2023-08-01 Sebastien Court

Computational fluid dynamics (CFD) is increasingly used to study blood flows in patient-specific arteries for understanding certain cardiovascular diseases. The techniques work quite well for relatively simple problems, but need…

计算物理 · 物理学 2018-10-11 Fande Kong , Vitaly Kheyfets , Ender Finol , Xiao-Chuan Cai

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)…

计算工程、金融与科学 · 计算机科学 2018-08-02 Benedikt Schott , Christoph Ager , Wolfgang A. Wall

Dispersion of low-density rigid particles with complex geometries is ubiquitous in both natural and industrial environments. We show that while explicit methods for coupling the incompressible Navier-Stokes equations and Newton's equations…

计算物理 · 物理学 2015-11-06 Uǧis Lācis , Kunihiko Taira , Shervin Bagheri

We study a thermodynamically consistent diffuse interface model that describes the motion of a two-phase flow of two viscous incompressible Newtonian fluids with unmatched densities and a soluble surfactant in a bounded domain of two or…

偏微分方程分析 · 数学 2026-01-13 Bohan Ouyang , Maurizio Grasselli , Hao Wu

We propose a two-fold approach to model reduction of fluid-structure interaction. The state equations for the fluid are solved with reduced basis methods. These are model reduction methods for parametric partial differential equations using…

数值分析 · 数学 2010-05-20 Toni Lassila , Gianluigi Rozza

We aim at the stability of time-dependent motions, such as time-periodic ones, of a rigid body in a viscous fluid filling the exterior to it in 3D. The fluid motion obeys the incompressible Navier-Stokes system, whereas the motion of the…

偏微分方程分析 · 数学 2024-02-21 Toshiaki Hishida

We consider the method of mappings for performing shape optimization for unsteady fluid-structure interaction (FSI) problems. In this work, we focus on the numerical implementation. We model the optimization problem such that it takes…

最优化与控制 · 数学 2024-06-21 Johannes Haubner , Michael Ulbrich

We analyze the linear stability of the base state of the problem of coupled flow and deformation in a long and shallow rectangular soft hydraulic conduit with a thick top wall. Specifically, the steady base state is computed at low but…

流体动力学 · 物理学 2020-12-07 Xiaojia Wang , Ivan C. Christov

We study the equilibrium configurations of a possibly asymmetric fluid-structure-interaction problem. The fluid is confined in a bounded planar channel and is governed by the stationary Navier-Stokes equations with laminar inflow and…

偏微分方程分析 · 数学 2023-08-11 Edoardo Bocchi , Filippo Gazzola

We are interested in studying an unsteady fluid-structure interaction problem in a three-dimensional space. We consider a homogeneous Newtonian fluid which is modeled by the Navier-Stokes equations. Whereas the motion of the structure is…

偏微分方程分析 · 数学 2019-10-14 Fatima Abbas , Ayman Mourad

A fluid in contact with a flat structureless wall constitutes the simplest interface system, but the fluid-wall interfacial tension cannot be trivially and even unequivocally determined due to the ambiguity in identifying the precise…

软凝聚态物质 · 物理学 2023-12-25 Longfei Li , Mingcheng Yang

The ``no-slip'' boundary condition, i.e., zero fluid velocity relative to the solid at the fluid-solid interface, has been very successful in describing many macroscopic flows. A problem of principle arises when the no-slip boundary…

软凝聚态物质 · 物理学 2007-05-23 Tiezheng Qian , Xiao-Ping Wang , Ping Sheng

We present a three-dimensional (3D) partitioned aeroelastic formulation for a flexible multibody system interacting with incompressible turbulent fluid flow. While the incompressible Navier-Stokes system is discretized using a stabilized…

流体动力学 · 物理学 2020-11-03 Vaibhav Joshi , Rajeev K. Jaiman , Carl Ollivier-Gooch

We present a monolithic approach to large-deformation fluid-structure interaction (FSI) problems that allows for choosing fully implicit, single-step and single-stage time integration schemes in the structure and fluid field independently,…

数值分析 · 数学 2023-08-25 Matthias Mayr , Thomas Klöppel , Wolfgang A. Wall , Michael W. Gee