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The immersed boundary (IB) method is a non-body conforming approach to fluid-structure interaction (FSI) that uses an Eulerian description of the momentum, viscosity, and incompressibility of a coupled fluid-structure system and a…

数值分析 · 数学 2022-02-18 Jae H. Lee , Boyce E. Griffith

Cable subsystems characterized by long, slender, and flexible structural elements are featured in numerous engineering systems. In each of them, interaction between an individual cable and the surrounding fluid is inevitable. Such a…

计算工程、金融与科学 · 计算机科学 2019-11-11 Daniel Z. Huang , Philip Avery , Charbel Farhat

This paper presents a one-sided immersed boundary (IB) method using kernel functions constructed via a moving least squares (MLS) method. The resulting kernels effectively couple structural degrees of freedom to fluid variables on only one…

数值分析 · 数学 2021-05-27 Rahul Bale , Amneet Pal Singh Bhalla , Boyce E. Griffith , Makoto Tsubokura

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

We present an efficient and accurate immersed boundary (IB) finite element (FE) solver for numerically solving incompressible Navier--Stokes equations. Particular emphasis is given to internal flows with complex geometries (blood flow in…

计算工程、金融与科学 · 计算机科学 2020-07-07 G. C. Bourantas , D. L. Lampropoulos , B. F. Zwick , V. C. Loukopoulos , A. Wittek , K. Miller

A hybrid sharp-interface immersed-boundary/front-tracking (IB/FT) method is developed for interface-resolved simulation of evaporating droplets in incompressible multiphase flows. A one-field formulation is used to solve the flow, species…

流体动力学 · 物理学 2025-10-30 Faraz Salimnezhad , Hasret Turkeri , Iskender Gokalp , Metin Muradoglu

The immersed finite element-finite difference (IFED) method is a computational approach to modeling interactions between a fluid and an immersed structure. This method uses a finite element (FE) method to approximate the stresses and forces…

数值分析 · 数学 2023-02-01 David Wells , Ben Vadala-Roth , Jae H. Lee , Boyce E. Griffith

Despite the fact that computational fluid dynamics (CFD) software is now (relatively) fast and freely available, it is still amazingly difficult to use. Inaccessible software imposes a significant entry barrier on students and junior…

计算物理 · 物理学 2015-10-26 Gabriel D. Weymouth

We present a collocated-grid framework for Direct Numerical Simulations of polydisperse particles submerged in a viscous fluid. The fluid-particle forces are coupled with the Immersed Boundary Method (IBM) while the particle-particle forces…

We present an enhanced immersed interface method for simulating incompressible fluid flows in thin gaps between closely spaced immersed boundaries. This regime, common in engineered structures such as including tribological interfaces and…

流体动力学 · 物理学 2026-03-17 Michael J. Facci , Qi Sun , Boyce E. Griffith

Immersed boundary-lattice Boltzmann method (IB-LBM) has been widely used for simulation of particle-laden flows recently. However, it was limited to small-scale simulations with no more than O(103) particles. Here, we expand IB-LBM for…

计算物理 · 物理学 2020-02-21 Maoqiang Jiang , Jing Li , Zhaohui Liu

A simulation framework based on the level-set and the immersed boundary methods (LS-IBM) has been developed for reactive transport problems in porous media involving a moving solid-fluid interface. The interface movement due to surface…

流体动力学 · 物理学 2023-04-13 Mehrdad Yousefzadeh , Yinuo Yao , Ilenia Battiato

Robust, broadly applicable fluid-structure interaction (FSI) algorithms remain a challenge for computational mechanics. In previous work, we introduced an immersed interface method (IIM) for discrete surfaces and an extension based on an…

计算物理 · 物理学 2025-11-14 Qi Sun , Ebrahim M. Kolahdouz , Boyce E. Griffith

This paper deals with a new solid-fluid coupling algorithm between a rigid body and an unsteady compressible fluid flow, using an Embedded Boundary method. The coupling with a rigid body is a first step towards the coupling with a Discrete…

We derive a mathematical model and the corresponding computational scheme to study deflection of a two-dimensional elastic cantilever beam immersed in a channel, where one end of the beam is fixed to the channel wall. The immersed boundary…

流体动力学 · 物理学 2020-07-02 Sudeshna Ghosh

In the immersed boundary (IB) approach to fluid-structure interaction modeling, the coupling between the fluid and structure variables is mediated using a regularized version of Dirac delta function. In the IB literature, the regularized…

数值分析 · 数学 2021-11-25 Amneet Pal Singh Bhalla

We review a scalable two- and three-dimensional computer code for low-temperature plasma simulations in multi-material complex geometries. Our approach is based on embedded boundary (EB) finite volume discretizations of the minimal…

计算物理 · 物理学 2019-05-01 Robert Marskar

Recently, physics informed neural networks (PINNs) have been explored extensively for solving various forward and inverse problems and facilitating querying applications in fluid mechanics applications. However, work on PINNs for unsteady…

流体动力学 · 物理学 2024-02-28 Rahul Sundar , Dipanjan Majumdar , Didier Lucor , Sunetra Sarkar

In this paper, the Immersed Boundary Method (IBM) proposed by Pinelli is implemented for finite volume approximations of incompressible Navier-Stokes equations solutions in the open source toolbox OpenFOAM version 2.2. Solid obstacles are…

流体动力学 · 物理学 2016-09-15 E. Constant , C. Li , J. Favier , M. Meldi , P. Meliga , E. Serre

Computational modeling and simulation of fluid-structure interactions constitute a fundamental cornerstone for advancing aerospace engineering endeavors. This paper addresses the notion and implementation of the immersed boundary method for…

计算物理 · 物理学 2025-12-24 Longqing Ge , Qingdong Cai , Yonghao Zhang , Tianbai Xiao