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We present a new computational method by extending the Immersed Boundary (IB) method with a spectrally-accurate geometric model based on Radial Basis Function (RBF) interpolation of the Lagrangian structures. Our specific motivation is the…

数值分析 · 数学 2015-05-27 Varun Shankar , Grady B. Wright , Robert M. Kirby , Aaron L. Fogelson

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

We present a robust immersed boundary (IB) method for high density ratio multiphase flows that is capable of modeling complex wave-structure interaction (WSI) problems arising in marine and coastal engineering applications. The IB/WSI…

流体动力学 · 物理学 2019-09-04 Nishant Nangia , Neelesh A. Patankar , Amneet Pal Singh Bhalla

The immersed boundary method is a numerical and mathematical formulation for solving fluid-structure interaction problems. It relies on solving fluid equations on an Eulerian fluid grid and interpolating the resulting velocity back onto…

数值分析 · 数学 2020-03-19 Ondrej Maxian , Charles S. Peskin

Computational fluid dynamics (CFD) studies have been increasingly used for blood flow simulations in intracranial aneurysms (ICAs). However, despite the continuous progress of body-fitted CFD solvers, generating a high quality mesh is still…

计算工程、金融与科学 · 计算机科学 2020-07-28 D. S. Lampropoulos , G. C. Bourantas , B. F. Zwick , G. C. Kagadis , A. Wittek , K. Miller , V. C. Loukopoulos

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

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

The immersed boundary method is a mathematical framework for modeling fluid-structure interaction. This formulation describes the momentum, viscosity, and incompressibility of the fluid-structure system in Eulerian form, and it uses…

Accurate and efficient simulation of fluid-structure interaction (FSI) problems remains a central challenge in computational physics. High-order discontinuous Galerkin (DG) methods offer low numerical errors and excellent scalability on…

流体动力学 · 物理学 2025-12-08 Yingjie Xia , Stefano Colombo , David Huergo , Jiaqing Kou , Yuting Dai , Esteban Ferrer

We present a numerical stability analysis of the immersed boundary(IB) method for a special case which is constructed so that Fourier analysis is applicable. We examine the stability of the immersed boundary method with the discrete Fourier…

数值分析 · 数学 2022-08-10 Mengjian Hua , Charles S. Peskin

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

We extend the recently introduced divergence-conforming immersed boundary (DCIB) method [1] to fluid-structure interaction (FSI) problems involving closed co-dimension one solids. We focus on capsules and vesicles, whose discretization is…

The simulation of certain flow problems requires a means for modeling a free fluid surface; examples being viscoelastic die swell or fluid sloshing in tanks. In a finite-element context, this type of problem can, among many other options,…

数值分析 · 数学 2017-09-21 Florian Zwicke , Sebastian Eusterholz , Stefanie Elgeti

It is well known that the number of particles should be scaled up to enable industrial scale simulation. The calculations are more computationally intensive when the motion of the surrounding fluid is considered. Besides the advances in…

计算物理 · 物理学 2014-07-28 Hao Zhang , F. Xavier Trias , Assensi Oliva , Dongmin Yang , Yuanqiang Tan , Shi Shu , Yong Sheng

The interpolated bounce-back scheme and the immersed boundary method are the two most popular algorithms in treating a no-slip boundary on curved surfaces in the lattice Boltzmann method. While those algorithms are frequently implemented in…

计算物理 · 物理学 2020-11-25 Cheng Peng , Orlando M. Ayala , Lian-Ping Wang

Body-fitted arbitrary Lagrangian-Eulerian (ALE) methods provide a sharp representation of the fluid-structure interface but rely on mesh-update strategies that incrementally deform a reference configuration. To address this issue, we…

数值分析 · 数学 2026-05-01 Jingya Li , Ye Ji , Hugo Verhelst , Henk den Besten , Matthias Möller

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

This paper presents a novel volume of fluid ghost-cell immersed boundary (IB) method for two-phase free surface flow interacting with structures. To circumvent the disturbance occurring around the intersection area of the IB and free…

流体动力学 · 物理学 2024-09-16 Fan Chen , Jinghua Wang , Huan-Feng Duan

In this work, we make two improvements on the staggered grid hydrodynamics (SGH) Lagrangian scheme for modeling 2-dimensional compressible multi-material flows on triangular mesh. The first improvement is the construction of a dynamic local…

计算物理 · 物理学 2017-07-10 Hai-bo Zhao , Bo Xiao , Jing-song Bai , Shu-chao Duan , Gang-hua Wang , Ming-xian Kan

We propose Floating Isogeometric Analysis (FLIGA), which extends the concepts of IGA to Lagrangian extreme deformation analysis. The method is based on a novel tensor-product construction of B-Splines for the update of the basis functions…

计算工程、金融与科学 · 计算机科学 2022-02-15 Helge C. Hille , Siddhant Kumar , Laura De Lorenzis