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Solving fluid-structure interaction (FSI) problems when the densities are similar (large added mass), such as in hemodynamics, is challenging since the stability and convergence of the adopted numerical scheme could be compromised. In…

数值分析 · 数学 2025-11-04 Francesca Renzi , Christian Vergara

In this work we analyze the stability and convergence properties of a loosely-coupled scheme, called the kinematically coupled scheme, and its extensions for the interaction between an incompressible, viscous fluid and a thin, elastic…

数值分析 · 数学 2016-08-30 Martina Bukac , Boris Muha

We propose an explicit partitioned (loosely coupled) scheme for fluid structure interaction (FSI) problems, specifically designed to achieve high computational efficiency in modern engineering simulations. The FSI problem under…

数值分析 · 数学 2025-10-16 Shihan Guo , Ping Lin , Yifan Wang , Xiaohe Yue , Haibiao Zheng

In this work we analyze the stability and convergence properties of a loosely-coupled scheme, called the kinematically coupled scheme, for interaction between an incompressible viscous fluid and a thin structure. We consider a benchmark…

数值分析 · 数学 2014-06-16 Martina Bukac

A stable partitioned algorithm for fluid-structure interaction (FSI) problems that couple viscous incompressible flow with structural shells or beams is described. This added-mass partitioned (AMP) scheme uses Robin (mixed) interface…

数值分析 · 数学 2013-08-28 J. W. Banks , W. D. Henshaw , D. W. Schwendeman

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

We present a new model and a novel loosely coupled partitioned numerical scheme modeling fluid-structure interaction (FSI) in blood flow allowing non-zero longitudinal displacement. Arterial walls are modeled by a {linearly viscoelastic,…

数值分析 · 数学 2015-06-05 Martina Bukac , Suncica Canic , Roland Glowinski , Josip Tambaca , Annalisa Quaini

In this article we describe a stable partitioned algorithm that overcomes the added mass instability arising in fluid-structure interactions of light rigid bodies and inviscid compressible flow. The new algorithm is stable even for bodies…

数值分析 · 数学 2015-06-11 J. W. Banks , W. D. Henshaw , B. Sjogreen

Robin boundary conditions are a natural consequence of employing Nitsche's method for imposing the kinematic velocity constraint at the fluid-solid interface. Loosely-coupled FSI schemes based on Dirichlet-Robin or Robin-Robin coupling have…

计算工程、金融与科学 · 计算机科学 2021-06-01 Chennakesava Kadapa

A stable partitioned algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and rigid bodies. This {\em added-mass partitioned} (AMP) algorithm remains stable, without sub-iterations, for…

数值分析 · 数学 2017-06-07 J. W. Banks , W. D. Henshaw , D. W. Schwendeman , Qi Tang

A stable partitioned algorithm for coupling incompressible flows with compressible elastic solids is described. This added-mass partitioned (AMP) scheme requires no sub-iterations, can be made fully second- or higher-order accurate, and…

数值分析 · 数学 2013-08-28 J. W. Banks , W. D. Henshaw , D. W. Schwendeman

We consider a loosely coupled algorithm for fluid-structure interaction based on a Robin interface condition for the fluid problem (explicit Robin-Neumann scheme). We study the dependence of the stability of this method on the interface…

数值分析 · 数学 2019-05-17 Giacomo Gigante , Christian Vergara

A stable partitioned algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and rigid bodies. This {\em added-mass partitioned} (AMP) algorithm remains stable, without sub-iterations, for…

数值分析 · 数学 2017-06-07 J. W. Banks , W. D. Henshaw , D. W. Schwendeman , Qi Tang

We study a nonlinear, unsteady, moving boundary, fluid-structure interaction (FSI) problem arising in modeling blood flow through elastic and viscoelastic arteries. The fluid flow, which is driven by the time-dependent pressure data, is…

偏微分方程分析 · 数学 2015-06-05 Boris Muha , Suncica Canic

Finite element methods and kinematically coupled schemes that decouple the fluid velocity and structure displacement have been extensively studied for incompressible fluid-structure interaction (FSI) over the past decade. While these…

数值分析 · 数学 2023-12-13 Buyang Li , Weiwei Sun , Yupei Xie , Wenshan Yu

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

The Dirichlet-Neumann scheme is the most common partitioned algorithm for fluid-structure interaction (FSI) and offers high flexibility concerning the solvers employed for the two subproblems. Nevertheless, it is not without shortcomings:…

计算工程、金融与科学 · 计算机科学 2022-11-15 Thomas Spenke , Michel Make , Norbert Hosters

We present an operator-splitting scheme for fluid-structure interaction (FSI) problems in hemodynamics, where the thickness of the structural wall is comparable to the radius of the cylindrical fluid domain. The equations of linear…

数值分析 · 数学 2015-10-28 Martina Bukac , Suncica Canic , Roland Glowinski , Boris Muha , Annalisa Quaini

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…

数值分析 · 数学 2018-08-15 J. W. Banks , W. D. Henshaw , D. W. Schwendeman , Qi Tang

Passive flow control via fluid-structure interaction (FSI) is a promising paradigm for unmanned aerial vehicles operating in vortex-dominated low Reynolds number regimes. A flexible structure has the potential to passively alter key…

流体动力学 · 物理学 2024-11-07 Srikumar Balasubramanian , Andres Goza
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