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Fluid flow in rough fractures and the coupling with the mechanical behaviour of the fractures pose great difficulties for numerical modeling approaches, due to complex fracture surface topographies, the non-linearity of hydromechanical…

We propose an arbitrary Lagrangian-Eulerian (ALE)-consistent machine learning framework for long-term fluid-structure interaction (FSI) prediction on deforming unstructured meshes. Specifically, the fluid dynamics are modeled by a surrogate…

流体动力学 · 物理学 2026-05-05 Shihang Zhao , Martín Saravia , Haokui Jiang , Zhiyang Xue , Shunxiang Cao

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

In this paper, we study a hydrodynamic phase-field system modeling the deformation of functionalized membranes in incompressible viscous fluids. The governing PDE system consists of the Navier-Stokes equations coupled with a convective…

偏微分方程分析 · 数学 2022-06-22 Hao Wu , Yuchen Yang

We consider a fluid-structure interaction problem with Navier-slip boundary conditions in which the fluid is considered as a non-Newtonian fluid and the structure is described by a nonlinear multi-layered model. The fluid domain is driven…

偏微分方程分析 · 数学 2021-02-02 Wenjun Liu , Yadong Liu , Jun Yu

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

We address semigroup well-posedness of the fluid-structure interaction of a linearized compressible, viscous fluid and an elastic plate (in the absence of rotational inertia). Unlike existing work in the literature, we linearize the…

偏微分方程分析 · 数学 2017-06-09 George Avalos , Pelin G. Geredeli , Justin T. Webster

An interface control principle is proposed for unsteady fluid-structure in- teraction (FSI) analyses. This principle introduces a method of explicitly controlling the interface motion in the temporal direction to minimize the residual force…

流体动力学 · 物理学 2025-10-21 Chungil Lee , Yoshiaki Abe , Yu Kawano , Tomoki Yamazaki

The present research is devoted to the problem of stability of the fluid flow moving in a channel with flexible walls and interacting with the walls, which are subject to traveling waves. Experimental data shows that the energy of the…

流体动力学 · 物理学 2021-01-01 Marianna A. Shubov , Madeline M. Edwards

Nonlinear elliptic problems arise in many fields, including plasma physics, astrophysics, and optimal transport. In this article, we propose a novel operator-splitting/finite element method for solving such problems. We begin by introducing…

数值分析 · 数学 2025-09-12 Jingyu Yang , Shingyu Leung , Jianliang Qian , Hao Liu

In this article we present a one-field monolithic finite element method in the Arbitrary Lagrangian-Eulerian (ALE) formulation for Fluid-Structure Interaction (FSI) problems. The method only solves for one velocity field in the whole FSI…

计算工程、金融与科学 · 计算机科学 2020-08-26 Yongxing Wang , Peter K. Jimack , Mark A. Walkley , Olivier Pironneau

Fluid-structure interaction (FSI) problems are pervasive in the computational engineering community. The need to address challenging FSI problems has led to the development of a broad range of numerical methods addressing a variety of…

A numerical method is developed for solving a system of partial differential equations modeling the flow of a nematic liquid crystal fluid with stretching effect, which takes into account the geometrical shape of its molecules. This system…

数值分析 · 数学 2016-07-11 R. C. Cabrales , F. Guillén-González , J. V. Gutiérrez-Santacreu

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

We analyze splitting algorithms for a class of two-dimensional fluid equations, which includes the incompressible Navier-Stokes equations and the surface quasi-geostrophic equation. Our main result is that the Godunov and Strang splitting…

数值分析 · 数学 2015-03-18 Helge Holden , Kenneth H. Karlsen , Trygve K. Karper

Modeling and simulation of fluid-structure interactions are crucial to the success of aerospace engineering. This work addresses a novel hybrid algorithm that models the close coupling between compressible flows and deformable materials…

计算物理 · 物理学 2025-04-16 Mingshuo Han , Shiwei Hu , Tianbai Xiao , Yonghao Zhang

In this paper we describe a computational model for the simulation of fluid-structure interaction problems based on a fictitious domain approach. We summarize the results presented over the last years when our research evolved from the…

数值分析 · 数学 2021-04-29 Daniele Boffi , Lucia Gastaldi

This study proposes an algorithm for modeling compressible flows in spherical shells in nearly incompressible and weakly compressible regimes based on an implicit direction splitting approach. The method retains theoretically expected…

数值分析 · 数学 2021-04-21 Roman Frolov , Peter Minev , Aziz Takhirov

The goal of this paper is to test solids4Foam, the fluid-structure interaction (FSI) toolbox developed for foam-extend (a branch of OpenFOAM), and assess its flexibility in handling more complex flows. For this purpose, we consider the…

流体动力学 · 物理学 2021-05-04 Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

In the previous work, Zhang et al. proposed a multi-resolution smoothed particle hydrodynamics (SPH) method for fluid-structure interactions (FSI) with achieving an optimized computational efficiency meanwhile maintaining good numerical…

流体动力学 · 物理学 2022-05-03 Chi Zhang , Yujie Zhu , Xiangyu Hu