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This paper presents a new monolithic free-surface formulation that exhibits correct kinetic and potential energy behavior. We focus in particular on the temporal energy behavior of two-fluids flow with varying densities. Correct energy…

数值分析 · 数学 2019-01-11 I. Akkerman , M. ten Eikelder

In this article, we present a new unified finite element method (UFEM) for simulation of general Fluid-Structure interaction (FSI) which has the same generality and robustness as monolithic methods but is significantly more computationally…

计算工程、金融与科学 · 计算机科学 2016-08-18 Yongxing Wang , Peter Jimack , Mark Walkley

The immersed boundary method is an approach to fluid-structure interaction that uses a Lagrangian description of the structural deformations, stresses, and forces along with an Eulerian description of the momentum, viscosity, and…

数值分析 · 数学 2017-02-27 Boyce E. Griffith , Xiaoyu Luo

We introduce an Eulerian approach for problems involving one or more soft solids immersed in a fluid, which permits mechanical interactions between all phases. The reference map variable is exploited to simulate finite-deformation…

计算物理 · 物理学 2015-12-16 Boris Valkov , Chris H. Rycroft , Ken Kamrin

We present a general simulation approach for incompressible fluid--structure interactions in a fully Eulerian framework using the reference map technique (RMT). The approach is suitable for modeling one or more rigid or finitely-deformable…

流体动力学 · 物理学 2022-03-14 Xiaolin Wang , Ken Kamrin , Chris H. Rycroft

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

Porous structures are intricate solid materials with numerous small pores, extensively used in fields like medicine, chemical engineering, and aerospace. However, the design of such structures using computer-aided tools is a time-consuming…

图形学 · 计算机科学 2024-02-20 Gao Depeng , Gao Yang , Lin Hongwei

Strongly coupled immersed boundary (IB) methods solve the nonlinear fluid and structural equations of motion simultaneously for strongly enforcing the no-slip constraint on the body. Handling this constraint requires solving several large…

流体动力学 · 物理学 2021-03-12 Nirmal Jayaprasad Nair , Andres Goza

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

We present a new approach for the mechanically consistent modelling and simulation of fluid-structure interactions with contact. The fundamental idea consists of combining a relaxed contact formulation with the modelling of seepage through…

数值分析 · 数学 2022-03-02 Erik Burman , Miguel A. Fernández , Stefan Frei , Fannie M. Gerosa

A Skeleton-stabilized IsoGeometric Analysis (SIGA) technique is proposed for incompressible viscous flow problems with moderate Reynolds number. The proposed method allows utilizing identical finite dimensional spaces (with arbitrary…

A microfluidic device is constructed from PDMS with a single channel having a short section that is a thin flexible membrane, in order to investigate the complex fluid-structure interaction that arises between a flowing fluid and a…

软凝聚态物质 · 物理学 2020-07-03 Debadi Chakraborty , J. Ravi Prakash , Leslie Yeo , James Friend

Interfaces between two fluids are ubiquitous and of special importance for industrial applications, e.g., stabilisation of emulsions. The dynamics of fluid-fluid interfaces is difficult to study because these interfaces are usually…

软凝聚态物质 · 物理学 2015-03-20 Timm Krüger , Stefan Frijters , Florian Günther , Badr Kaoui , Jens Harting

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

We present a monolithic finite element formulation for (nonlinear) fluid-structure interaction in Eulerian coordinates. For the discretization we employ an unfitted finite element method based on inf-sup stable finite elements. So-called…

数值分析 · 数学 2024-02-02 Stefan Frei , Tobias Knoke , Marc C. Steinbach , Anne-Kathrin Wenske , Thomas Wick

We consider the evolution of curve networks in two dimensions (2d) and surface clusters in three dimensions (3d). The motion of the interfaces is described by surface diffusion, with boundary conditions at the triple junction points/lines,…

数值分析 · 数学 2022-11-07 Weizhu Bao , Harald Garcke , Robert Nürnberg , Quan Zhao

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

A novel and efficient approach which is based on the framework of isogeometric analysis for elliptic homogenization problems is proposed. These problems possess highly oscillating coefficients leading to extremely high computational…

数值分析 · 数学 2017-10-31 H. Nguyen-Xuan , T. Hoang , V. P. Nguyen

This paper presents a method for the optimization of multi-component structures comprised of two and three materials considering large motion sliding contact and separation along interfaces. The structural geometry is defined by an explicit…

最优化与控制 · 数学 2017-01-24 Matthew Lawry , Kurt Maute

We outline a 2D algorithm for solving incompressible flow--structure interaction problems for mixed rigid/soft body representations, within a consistent framework based on the remeshed vortex method. We adopt the one--continuum formulation…

计算物理 · 物理学 2021-08-18 Yashraj Bhosale , Tejaswin Parthasarathy , Mattia Gazzola