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We develop a Fluctuating Immersed Boundary (FIB) method for performing Brownian dynamics simulations of confined particle suspensions. Unlike traditional methods which employ analytical Green's functions for Stokes flow in the confined…

软凝聚态物质 · 物理学 2015-06-29 S. Delong , F. Balboa Usabiaga , R. Delgado-Buscalioni , B. E. Griffith , A. Donev

The immersed boundary (IB) method has become a leading approach in cardiac fluid-structure interaction (FSI) modeling due to its ability to handle large deformations and complex geometries without requiring mesh regeneration. However, the…

计算物理 · 物理学 2025-09-16 Pengfei Ma , Li Cai , Xuan Wang , Hao Gao

A discrete unified gas kinetic scheme (DUGKS) coupled with the immersed boundary (IB) method is developed to perform interface-resolved simulation of particle-laden flows. The present method (IB-DUGKS) preserves the respective advantages of…

流体动力学 · 物理学 2018-10-17 Shi Tao , Haolong Zhang , Zhaoli Guo , Lian-Ping Wang

We present an immersed boundary projection method formulated in a body-fixed frame of reference for flow-structure interaction (FSI) problems involving rigid bodies with complex geometries. The body-fixed formulation is aimed at maximizing…

流体动力学 · 物理学 2020-01-07 Tzu-Yuan Lin , Hsin-Yu Hsieh , Hsieh-Chen Tsai

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

We present an open-source adaptive front-tracking solver for biological capsules in viscous flows. The membrane elastic and bending forces are solved on a Lagrangian triangulation using a linear Finite Element Method and a paraboloid…

流体动力学 · 物理学 2022-11-30 Damien P. Huet , Anthony Wachs

We present a novel isogeometric method, namely the Immersed Boundary-Conformal Method (IBCM), that features a layer of discretization conformal to the boundary while employing a simple background mesh for the remaining domain. In this…

数值分析 · 数学 2021-08-04 Xiaodong Wei , Benjamin Marussig , Pablo Antolin , Annalisa Buffa

The Immersed Boundary (IB) method of Peskin (J. Comput. Phys., 1977) is useful for problems involving fluid-structure interactions or complex geometries. By making use of a regular grid that is independent of the geometry, the IB framework…

数值分析 · 数学 2022-10-17 Brittany J. Leathers

The direct-forcing immersed boundary method (DF-IBM) algorithm previously developed by the authors is extended by coupling the Navier-Stokes equations with the Newton-Euler equations for rigid body dynamics within the DF-IBM framework. This…

流体动力学 · 物理学 2026-04-28 E. Farah , A. Ouahsine , P. G. Verdin , B. Kaoui

In this work it is shown how the immersed boundary method of (Peskin2002) for modeling flexible structures immersed in a fluid can be extended to include thermal fluctuations. A stochastic numerical method is proposed which deals with…

软凝聚态物质 · 物理学 2023-02-28 P. J. Atzberger , P. R. Kramer , C. S. Peskin

In this work, we extend our previous esophageal transport model using an immersed boundary (IB) method with discrete fiber-based structures, to one using a continuum mechanics-based model that is approximated based on finite elements…

This paper introduces a new immersed boundary (IB) method for viscous incompressible flow, based on a Fourier spectral method for the fluid solver and on the nonuniform fast Fourier transform (NUFFT) algorithm for coupling the fluid with…

流体动力学 · 物理学 2023-02-20 Zhe Chen , Charles S. Peskin

We introduce a refined immersed boundary (IB) methodology that is better-than-first-order accurate in practice, while preserving key properties of "continuous-forcing" IB approaches that retain a singular source term in the governing…

数值分析 · 数学 2026-05-01 Diederik Beckers , H. Jane Bae , Andres Goza

This work presents a comprehensive framework for enhanced diffusion modeling in fluid-structure interactions by combining the Immersed Boundary Method (IBM) with stochastic trajectories and high-order spectral boundary conditions. Using…

偏微分方程分析 · 数学 2024-10-31 Rômulo Damasclin Chaves dos Santos , Jorge Henrique de Oliveira Sales

A new formulation of the immersed boundary method, which facilitates accurate simulation of incompressible isothermal and natural convection flows around immersed bodies and which may be applied for accurate linear stability analysis of the…

流体动力学 · 物理学 2015-12-17 Yuri Feldman , Yosef Gulberg

We present a strongly-coupled immersed-boundary method for flow-structure interaction problems involving thin deforming bodies. The method is stable for arbitrary choices of solid-to-fluid mass ratios and for large body motions. As with…

流体动力学 · 物理学 2016-10-05 Andres Goza , Tim Colonius

Within this work, we consider optimization settings for nonlinear, nonstationary fluid-structure interaction. The problem is formulated in a monolithic fashion using the arbitrary Lagrangian-Eulerian framework to set-up the fluid-structure…

数值分析 · 数学 2020-06-29 Thomas Wick , Winnifried Wollner

We present a simple modification of the direct-forcing immersed boundary method (IBM) proposed by Uhlmann [J. Comput. Phys, 2005] in order to enable it to be applied to particulate flows with solid-to-fluid density ratios around unity. The…

流体动力学 · 物理学 2023-06-21 Manuel Garcia-Villalba , Blanca Fuentes , Jan Dusek , Manuel Moriche , Markus Uhlmann

The immersed boundary method (IB) is an elegant way to fully couple the motion of a fluid and deformations of an immersed elastic structure. In that vein, the IB2d software allows for expedited explorations of fluid-structure interaction…

流体动力学 · 物理学 2018-09-19 Nicholas Battista , Christopher Strickland , Aaron Barrett , Laura Miller

We present an immersed boundary method to simulate the creeping motion of a rigid particle in a fluid described by the Stokes equations discretized thanks to a finite element strategy on unfitted meshes, called Phi-FEM, that uses the…

数值分析 · 数学 2023-01-30 Michel Duprez , Vanessa Lleras , Alexei Lozinski