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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

A fully coupled implicit finite-volume algorithm for incompressible viscoelastic interfacial flows is proposed, whereby the viscoelasticity of the flow is described by an upper-convected Maxwell constitutive model, including limited…

流体动力学 · 物理学 2026-02-10 Ayman Mazloum , Gabriele Gennari , Fabian Denner , Berend van Wachem

The Immersed Boundary Method (IBM) is one of the popular one-fluid mixed Eulerian-Lagrangian methods to simulate motion of droplets. While the treatment of a moving complex boundary is an extremely time consuming and formidable task in a…

计算物理 · 物理学 2018-07-30 Chia Rui Ong , Hiroaki Miura

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 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

There has been an increasing interest in developing efficient immersed boundary method (IBM) based on Cartesian grids, recently in the context of high-order methods. IBM based on volume penalization is a robust and easy to implement method…

数值分析 · 数学 2021-07-22 Jiaqing Kou , Esteban Ferrer

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 hybrid wall-modeled large-eddy simulation (WMLES) and immersed boundary (IB) method offers significant flexibility for simulating high Reynolds number flows involving complex boundaries. However, the approximate boundary conditions…

流体动力学 · 物理学 2025-06-30 Zhideng Zhou , Fengshun Zhang , Xiaolei Yang

An efficient and accurate finite-element algorithm is described for the numerical solution of the incompressible Navier-Stokes (INS) equations. The new algorithm that solves the INS equations in a velocity-pressure reformulation is based on…

数值分析 · 数学 2020-02-19 Longfei Li

Immersed methods discretize boundary conditions for complex geometries on background Cartesian grids. This makes such methods especially suitable for two-way coupled flow-body problems, where the body mechanics are partially driven by…

流体动力学 · 物理学 2025-04-01 Xinjie Ji , James Gabbard , Wim M. van Rees

We develop a new numerical technique for approximating solutions of the Navier-Stokes equations on moving domains. The method aims at simulating an incompressible fluid past an object whose motion is assigned a priori using a level-set…

数值分析 · 数学 2026-03-23 Hridya Dilip , Clarissa Astuto , Armando Coco , Giovanni Russo

We extend the shifted boundary method (SBM) to the simulation of incompressible fluid flow using immersed octree meshes. Previous work on SBM for fluid flow primarily utilized two- or three-dimensional unstructured tetrahedral grids.…

This paper sums up some recent validations of an immersed boundary method for compressible flow simulations. It has been already shown that this method is able to provide accurate results without meshing effort around more or less complex…

流体动力学 · 物理学 2019-02-19 Thomas Renaud , Christophe Benoit , Stephanie Péron , Ivan Mary , Nicolas Alferez

A low-Mach-number flow, in the laminar regime, has intrinsically two characteristic spatial scales for a given time scale, or two characteristic temporal scales for a given spatial scale, and these dual scales are very different due to the…

Boundary integral methods are advantageous when simulating viscous flow around rigid particles, due to the reduction in number of unknowns and straightforward handling of the geometry. In this work we present a fast and accurate framework…

数值分析 · 数学 2016-09-22 Ludvig af Klinteberg , Anna-Karin Tornberg

We present a simple and efficient variational finite difference method for simulating time-dependent Stokes flow in the presence of irregular free surfaces and moving solid boundaries. The method uses an embedded boundary approach on…

计算物理 · 物理学 2011-05-25 Christopher Batty , Robert Bridson

This paper studies a model of two-phase flow with an immersed material viscous interface and a finite element method for numerical solution of the resulting system of PDEs. The interaction between the bulk and surface media is characterized…

数值分析 · 数学 2021-06-08 Maxim Olshanskii , Annalisa Quaini , Qi Sun

A Skeleton-stabilized ImmersoGeometric Analysis technique is proposed for incompressible viscous flow problems with moderate Reynolds number. The proposed formulation fits within the framework of the finite cell method, where essential…

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

Approximate streamsurfaces of a 3D velocity field have recently been constructed as isosurfaces of the closest first integral of the velocity field. Such approximate streamsurfaces enable effective and efficient visualization of vortical…

流体动力学 · 物理学 2024-03-14 Mingwu Li , Bálint Kaszás , George Haller