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The aim of this paper is to provide a survey of the state of the art in the finite element approach to the Immersed Boundary Method (FE-IBM) which has been investigated by the authors during the last decade. In a unified setting, we present…

数值分析 · 数学 2014-07-22 Daniele Boffi , Lucia Gastaldi

Contact and related phenomena, such as friction, wear or elastohydrodynamic lubrication, remain as one of the most challenging problem classes in nonlinear solid and structural mechanics. In the context of their computational treatment with…

计算工程、金融与科学 · 计算机科学 2021-11-30 Alexander Popp , Ivo Steinbrecher

We study a finite element approximation of a coupled fluid-structure interaction consisting of a three-dimensional incompressible viscous fluid governed by the unsteady Stokes equations and a two-dimensional elastic plate. To avoid the use…

数值分析 · 数学 2026-02-10 Lander Besabe , Hyesuk Lee

The computational modeling of many engineering problems using the Finite Element method involves the modeling of two or more bodies that meet through an interface. The interface can be physical, as in multi-physics and contact problems, or…

数值分析 · 计算机科学 2009-09-30 G. Haikal

The immersed boundary-finite element method (IBFE) is an approach to describing the dynamics of an elastic structure immersed in an incompressible viscous fluid. In this formulation, there are discontinuities in the pressure and viscous…

数值分析 · 数学 2020-03-18 Charles Puelz , Boyce E. Griffith

The objective of this work is the development of a novel finite element formulation describing the contact interaction of slender beams in complex 3D configurations involving arbitrary beam-to-beam orientations. It is shown in a…

计算工程、金融与科学 · 计算机科学 2018-05-28 Christoph Meier , Alexander Popp , Wolfgang A. Wall

The finite element simulation of dynamic wetting phenomena, requiring the computation of flow in a domain confined by intersecting a liquid-fluid free surface and a liquid-solid interface, with the three-phase contact line moving across the…

计算物理 · 物理学 2012-02-20 J. E. Sprittles , Y. D. Shikhmurzaev

We present a coupling of the Finite Element and the Boundary Element Method in an isogeometric framework to approximate either two-dimensional Laplace interface problems or boundary value problems consisting in two disjoint domains. We…

数值分析 · 数学 2020-07-24 Mehdi Elasmi , Christoph Erath , Stefan Kurz

The interaction between thin structures and incompressible Newtonian fluids is ubiquitous both in nature and in industrial applications. In this paper we present an isogeometric formulation of such problems which exploits a boundary…

数值分析 · 数学 2017-02-17 Luca Heltai , Josef Kiendl , Antonio DeSimone , Alessandro Reali

A novel numerical formulation for solving fluid-structure interaction (FSI) problems is proposed where the fluid field is spatially discretized using smoothed particle hydrodynamics (SPH) and the structural field using the finite element…

计算工程、金融与科学 · 计算机科学 2021-06-16 Sebastian L. Fuchs , Christoph Meier , Wolfgang A. Wall , Christian J. Cyron

Contact involving soft materials often combines dry adhesion, sliding friction, and large deformations. At the local level, these three aspects are rarely captured simultaneously, but included in the theoretical models by Mergel et al.…

计算工程、金融与科学 · 计算机科学 2020-12-03 Janine C. Mergel , Julien Scheibert , Roger A. Sauer

This paper presents an isogeometric finite element formulation for nonlinear beams with impenetrability constraints, based on the kinematics of Cosserat rods with unconstrained directors. The beam cross-sectional deformation is represented…

数值分析 · 数学 2022-08-10 Myung-Jin Choi , Sven Klinkel , Roger A. Sauer

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

We consider a Navier-Stokes fluid-plate interaction (FSI) system which describes the evolutions of the fluid contained within a 3D cavity, as it interacts with a deformable elastic membrane on the ``free" upper boundary of the cavity. These…

偏微分方程分析 · 数学 2025-07-04 Pelin G. Geredeli , Quyuan Lin , Dylan Mcknight , Mohammad Mahabubur Rahman

This paper presents a new finite element (FE) formulation for liquid shells that is based on an explicit, 3D surface discretization using $C^1$-continuous finite elements constructed from NURBS interpolation. Both displacement-based and…

计算工程、金融与科学 · 计算机科学 2017-01-04 Roger A. Sauer , Thang X. Duong , Kranthi K. Mandadapu , David J. Steigmann

We present a new composite mesh finite element method for fluid--structure interaction problems. The method is based on surrounding the structure by a boundary-fitted fluid mesh which is embedded into a fixed background fluid mesh. The…

数值分析 · 数学 2016-01-20 Andre Massing , Mats G. Larson , Anders Logg , Marie E. Rognes

This paper presents an immersed boundary (IB) method for fluid--structure--acoustics interactions involving large deformations and complex geometries. In this method, the fluid dynamics is solved by a finite difference method where the…

流体动力学 · 物理学 2020-05-20 Li Wang , Fang-Bao Tian , Joseph C. S. Lai

A novel multi-scale finite element formulation for contact mechanics between nominally smooth but microscopically rough surfaces is herein proposed. The approach integrates the interface finite element method (FEM) for modelling interface…

计算工程、金融与科学 · 计算机科学 2025-04-03 Jacopo Bonari , Maria R. Marulli , Nora Hagmeyer , Matthias Mayr , Alexander Popp , Marco Paggi

This paper introduces BFEMP, a new approach for monolithically coupling the Material Point Method (MPM) with the Finite Element Method (FEM) through barrier energy-based particle-mesh frictional contact using a variational time-stepping…

数值分析 · 数学 2022-02-02 Xuan Li , Yu Fang , Minchen Li , Chenfanfu Jiang

In this paper we present a finite element method (FEM) for two-phase incompressible flows with moving contact lines. We use a sharp interface Navier-Stokes model for the bulk phase fluid dynamics. Surface tension forces, including Marangoni…

流体动力学 · 物理学 2015-10-13 A. Reusken , X. Xu , L. Zhang
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