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In this article we consider the widely used immersed finite element method (IFEM), in both explicit and implicit form, and its relationship to our more recent one-field fictitious domain method (FDM). We review and extend the formulation of…

数值分析 · 计算机科学 2019-10-23 Yongxing Wang , Peter K. Jimack , Mark A. Walkley

The multi-direct-forcing immersed boundary method allows for a small velocity error of the no-slip condition in moving-particle problems but suffers from numerical instability if simulation parameters are not carefully chosen. This study…

流体动力学 · 物理学 2026-02-17 Kosuke Suzuki , Emmanouil Falagkaris , Timm Krüger , Takaji Inamuro

In this paper we study a coupled system modeling the movement of a deformable solid immersed in a fluid. For the solid we consider a given deformation that has to obey several physical constraints. The motion of the fluid is modeled by the…

偏微分方程分析 · 数学 2014-07-08 Sébastien Court

In the present paper, a fluid-particle coupling method is directly derived from the Navier-Stokes equations (NSE) by applying the concept of volume-filtering, yielding a physically consistent methodology to incorporate solid wall boundary…

流体动力学 · 物理学 2024-10-17 Max Hausmann , Hani Elmestikawy , Berend van Wachem

The paper extends a stabilized fictitious domain finite element method initially developed for the Stokes problem to the incompressible Navier-Stokes equations coupled with a moving solid. This method presents the advantage to predict an…

数值分析 · 数学 2017-07-12 Sébastien Court , Michel Fournié

Based upon two overlapped, body-unfitted meshes, a type of unified-field monolithic fictitious domain-finite element method (UFMFD-FEM) is developed in this paper for moving interface problems of dynamic fluid-structure interactions (FSI)…

数值分析 · 数学 2024-02-21 Cheng Wang , Pengtao Sun , Yumiao Zhang , Jinchao Xu , Yan Chen , Jiarui Han

Dirac-delta distributions are often crucial components of the solid-fluid coupling operators in immersed solution methods for fluid-structure interaction (FSI) problems. This is certainly so for methods like the Immersed Boundary Method…

数值分析 · 数学 2013-02-06 Luca Heltai , Francesco Costanzo

In the present study, a discrete forcing Immersed Boundary Method (IBM) is proposed for the numerical simulation of high-speed flow problems including heat exchange. The flow field is governed by the compressible Navier-Stokes equations,…

流体动力学 · 物理学 2023-01-24 Hamza Riahi , Eric Goncalves , Marcello Meldi

We introduce a new Eulerian simulation framework for liquid animation that leverages both finite element and finite volume methods. In contrast to previous methods where the whole simulation domain is discretized either using the finite…

图形学 · 计算机科学 2023-01-18 Tatsuya Koike , Shigeo Morishima , Ryoichi Ando

Discrete particle simulation, a combined approach of computational fluid dynamics and discrete methods such as DEM (Discrete Element Method), DSMC (Direct Simulation Monte Carlo), SPH (Smoothed Particle Hydrodynamics), PIC…

流体动力学 · 物理学 2014-06-20 Limin Wang , Bo Zhang , Xiaowei Wang , Wei Ge , Jinghai Li

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

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

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

There exists an increasing interest for using immersed boundary methods (IBMs) (Peskin 2000) to model moving objects in computational fluid dynamics. Indeed, this approach is particularly efficient, because the fluid mesh does not require…

计算物理 · 物理学 2019-04-04 Joel Beny , Jonas Latt

This work describes models and numerical approximations that describe the mechanical behavior of deformable continua with embedded structural members, such as rigid bodies, beams, shells, etc. The continuum formulation extends an idea first…

数值分析 · 数学 2025-09-10 David Portillo , Ignacio Romero

A unified framework to derive discrete time-marching schemes for coupling of immersed solid and elastic objects to the lattice Boltzmann method is presented. Based on operator splitting for the discrete Boltzmann equation, second-order…

计算物理 · 物理学 2017-01-04 Ulf D. Schiller

We study the settling of solid particles within a viscous incompressible fluid contained in a two-dimensional channel, where the mass density of the particles is slightly greater than that of the fluid. The fluid-structure interaction…

流体动力学 · 物理学 2015-09-07 Sudeshna Ghosh , John M. Stockie

This paper presents a numerical method for the simulation of fluid-structure interaction specifically tailored to interactions between Newtonian fluids and a large number of slender viscoelastic Cosserat rods. Because of their high…

软凝聚态物质 · 物理学 2022-01-13 S. Tschisgale , J. Fröhlich

Dispersion of low-density rigid particles with complex geometries is ubiquitous in both natural and industrial environments. We show that while explicit methods for coupling the incompressible Navier-Stokes equations and Newton's equations…

计算物理 · 物理学 2015-11-06 Uǧis Lācis , Kunihiko Taira , Shervin Bagheri

A constraint penalization method is introduced within the Lattice Boltzmann (LBM) framework to model fluid-structure interactions involving rigid bodies. The proposed approach extends the fictitious domain concept by enforcing the…

流体动力学 · 物理学 2025-11-04 Tristan Millet , Erwan Liberge