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The immersed boundary (IB) method is a general mathematical framework for studying problems involving fluid-structure interactions in which an elastic structure is immersed in a viscous incompressible fluid. In the IB formulation, the fluid…

数值分析 · 数学 2020-10-01 Yuanxun Bao , Alexander D. Kaiser , Jason Kaye , Charles S. Peskin

We introduce a new formulation for the finite element immersed boundary method which makes use of a distributed Lagrange multiplier. We prove that a full discretization of our model, based on a semi-implicit time advancing scheme, is…

数值分析 · 数学 2015-03-05 Daniele Boffi , Nicola Cavallini , Lucia Gastaldi

Traditional surface cleaning methods often suffer from drawbacks such as chemical harshness, potential for surface damage, and high energy consumption. This study investigates an alternative approach: acoustic-driven surface cleaning using…

软凝聚态物质 · 物理学 2025-06-10 Yan Jun Lin , Zhengyang Liu , Sunghwan Jung

Stiff and dense fibrin networks in chronic blood clots impede drug penetration and distribution into the clot core, limiting the efficacy of thrombolytic therapies. Acoustic cavitation of microbubbles is a promising strategy to enhance drug…

软凝聚态物质 · 物理学 2026-05-29 Aarushi Bhargava , Gaurav Gardi , Metin Sitti

The Immersed Boundary Method (IBM) is a popular numerical approach to impose boundary conditions without relying on body-fitted grids, thus reducing the costly effort of mesh generation. To obtain enhanced accuracy, IBM can be combined with…

数值分析 · 数学 2024-01-10 Victor J. Llorente , Jiaqing Kou , Eusebio Valero , Esteban Ferrer

Ultrasound-driven oscillating micro-bubbles have been used as active actuators in microfluidic devices to perform manifold tasks such as mixing, sorting and manipulation of microparticles. A common configuration consists on side-bubbles,…

In this paper, we consider the scattering of a plane wave by a rigid obstacle embedded in a homogeneous and isotropic elastic medium in three dimensions. Based on the Helmholtz decomposition, the elastic scattering problem is reduced to a…

数值分析 · 数学 2022-09-14 Heping Dong , Jun Lai , Peijun Li

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 the implementation and validation of an immersed boundary volume penalization method in the computational fluid dynamics solver CODA (from ONERA, DLR, and Airbus). Our goal is to model and simulate turbulent fluid flows in…

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 present and analyze a series of benchmark tests regarding the application of the immersed boundary (IB) method to viscoelastic flows through and around non-trivial, stationary geometries. The IB method is widely used for the simulation…

流体动力学 · 物理学 2024-01-17 Cole Gruninger , Aaron Barrett , Fuhui Fang , M. Gregory Forest , Boyce E. Griffith

The steady motion and deformation of a lipid-bilayer vesicle translating through a circular tube in low Reynolds number pressure-driven flow are investigated numerically using an axisymmetric boundary element method. This fluid-structure…

流体动力学 · 物理学 2020-05-05 Paul G. Chen , J. M. Lyu , M. Jaeger , M. Leonetti

The peridynamic theory brings advantages in dealing with discontinuities, dynamic loading, and non-locality. The integro-differential formulation of peridynamics poses challenges to numerical solutions of complicated and practical problems.…

数值分析 · 数学 2021-06-01 Xue Liang , Linjuan Wang , Jifeng Xu , Jianxiang Wang

Liquid simulations for computer animation often avoid simulating the air phase to reduce computational costs and ensure good conditioning of the linear systems required to enforce incompressibility. However, this free surface assumption…

图形学 · 计算机科学 2017-12-01 Ryan Goldade , Christopher Batty

In the following work we apply the boundary element method to two-phase flows in shallow microchannels, where one phase is dispersed and does not wet the channel walls. These kinds of flows are often encountered in microfluidic…

流体动力学 · 物理学 2014-12-09 Mathias Nagel , François Gallaire

The Poisson-Boltzmann equation offers an efficient way to study electrostatics in molecular settings. Its numerical solution with the boundary element method is widely used, as the complicated molecular surface is accurately represented by…

数值分析 · 数学 2021-08-25 Stefan D. Search , Christopher D. Cooper , Elwin van't Wout

The acoustic response of microbubbles (MBs) depends on their resonance frequency, which is dependent on MB size and shell properties. Monodisperse MBs with tunable shell properties are thus desirable for optimizing and controlling MB…

Multiphase flows are commonly found in chemical engineering processes such as distillation columns, bubble columns, fluidized beds and heat exchangers. The physical boundaries of domains in numerical simulations of multiphase flows are…

流体动力学 · 物理学 2023-04-21 Tanyakarn Treeratanaphitak , Nasser Mohieddin Abukhdeir

The immersed boundary lattice Boltzmann method (IB-LBM) has been widely used in the simulation of fluid-solid interaction and particulate flow problems, since proposed in 2004. However, it is usually a non-trivial task to retain the…

计算物理 · 物理学 2018-03-28 Shi Tao , Qing He , Baiman Chen , Simin Huang

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