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We demonstrate existence in the ``large" and uniqueness in the ``small" of equilibrium configurations for the coupled system consisting of a Navier-Stokes fluid interacting with a rigid body subjected to spring forces and restoring moments.…

偏微分方程分析 · 数学 2025-12-25 D. Bonheure , G. P. Galdi , C. Patriarca

We present Aquarium, a differentiable fluid-structure interaction solver for robotics that offers stable simulation, accurately coupled fluid-robot physics in two dimensions, and full differentiability with respect to fluid and robot states…

机器人学 · 计算机科学 2023-03-09 Jeong Hun Lee , Mike Y. Michelis , Robert Katzschmann , Zachary Manchester

In this paper, we investigate the dynamics of an incompressible viscous Navier-Stokes fluid evolving above a one-dimensional flat surface. The fluid is subject to a uniform gravitational field and capillary forces acting along the free…

偏微分方程分析 · 数学 2026-02-19 Xiaoding Yang

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

Liquid structure at solid-liquid interfaces is critical for many natural and engineered processes ranging from biological signal transduction to electrochemical energy conversion. Advanced experimental and computational methods have…

Fluid deformable surfaces are ubiquitous in cell and tissue biology, including lipid bilayers, the actomyosin cortex, or epithelial cell sheets. These interfaces exhibit a complex interplay between elasticity, low Reynolds number…

流体动力学 · 物理学 2019-06-12 Alejandro Torres-Sánchez , Daniel Millán , Marino Arroyo

Immersed methods discretize boundary conditions for complex geometries on background Cartesian grids. This makes such methods especially suitable for two-way coupled flow-body problems, where the body mechanics are partially driven by…

流体动力学 · 物理学 2025-04-01 Xinjie Ji , James Gabbard , Wim M. van Rees

We investigate the limiting behavior of the Navier-Stokes-Cahn-Hilliard model for binary-fluid flows as the diffuse-interface thickness passes to zero, in the presence of fluid-fluid-solid contact lines. Allowing for motion of such contact…

数值分析 · 数学 2024-07-09 T. H. B. Demont , S. K. F. Stoter , C. Diddens , E. H. van Brummelen

Blood flow in arterial systems can be described by the three-dimensional Navier-Stokes equations within a time-dependent spatial domain that accounts for the elasticity of the arterial walls. In this article blood is treated as an…

数值分析 · 数学 2018-08-14 Francesco Fambri , Michael Dumbser , Vincenzo Casulli

Liquid droplets sliding along solid surfaces are a frequently observed phenomenon in nature, e.g., raindrops on a leaf, and in everyday situations, e.g., drops of water in a drinking glass. To model this situation, we use a phase field…

计算物理 · 物理学 2019-10-23 Henning Bonart , Christian Kahle , Jens-Uwe Repke

We consider two-fluid flow problems in an Arbitrary Lagrangian Eulerian (ALE) framework. The purpose of this work is twofold. First, we address the problem of the moving contact line, namely the line common to the two fluids and the wall.…

数值分析 · 数学 2015-05-13 J. -F. Gerbeau , T. Lelievre

An added-mass partitioned (AMP) algorithm is described for solving fluid-structure interaction (FSI) problems coupling incompressible flows with thin elastic structures undergoing finite deformations. The new AMP scheme is fully…

数值分析 · 数学 2016-03-23 L. Li , W. D. Henshaw , J. W. Banks , D. W. Schwendeman , G. A. Main

In this paper, we present a computationally efficient method for including fluid-solid interactions into direct numerical simulations of the Navier-Stokes equations. This method is found to be as powerful as our earlier formulation [J.…

流体动力学 · 物理学 2016-06-22 K. Mahady , S. Afkhami , L. Kondic

We consider the three-dimensional fluid-structure interaction system modeling a system consisting of a viscous incompressible fluid and an elastic plate forming its moving upper boundary. The fluid is described by the incompressible…

偏微分方程分析 · 数学 2025-12-12 Mario Bukal , Igor Kukavica , Linfeng Li , Boris Muha

In this paper we investigate a nonlinear fluid-structure interaction (FSI) problem involving the Navier-Stokes equations, which describe the flow of an incompressible, viscous fluid in a 3D domain interacting with a thin viscoelastic…

偏微分方程分析 · 数学 2024-09-24 Sunčica Čanić , Boris Muha , Krutika Tawri

We study a nonlinear, moving boundary fluid-structure interaction problem between an incompressible, viscous Newtonian fluid, modeled by the 2D Navier-Stokes equations, and an elastic structure modeled by the shell or plate equations. The…

偏微分方程分析 · 数学 2016-03-07 Boris Muha , Suncica Canic

We present a loosely-coupled partitioned scheme for a benchmark problem in fluid-composite structure interaction. The benchmark problem proposed here consists of an incompressible, viscous fluid interacting with a composite structure that…

数值分析 · 数学 2015-06-18 Martina Bukac , Suncica Canic , Boris Muha

The fluid structure interaction of cylinders in tandem arrangement is used as validation basis of a multi-domain Lagrangian-Eulerian hybrid flow solver. In this hybrid combination, separate grids of limited width are defined around every…

流体动力学 · 物理学 2022-07-20 George Papadakis , Vasilis A. Riziotis , Spyros G. Voutsinas

We consider a coupled model for fluid flow and transport in a domain consisting of two bulk regions separated by a thin porous layer. The thickness of the layer is of order $\varepsilon$ and the microscopic structure of the layer is…

偏微分方程分析 · 数学 2024-09-26 Markus Gahn , Maria Neuss-Radu

From extensive molecular dynamics simulations on immiscible two-phase flows, we find the relative slipping between the fluids and the solid wall everywhere to follow the generalized Navier boundary condition, in which the amount of slipping…

软凝聚态物质 · 物理学 2009-11-07 Tiezheng Qian , Xiao-Ping Wang , Ping Sheng