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In this paper we construct a novel technique for eliminating and recovering the pressure for a fluid-structure interaction model. This pressure elimination methodology is valid for general bounded Lipschitz domains. The specific…

偏微分方程分析 · 数学 2026-01-27 George Avalos , Yuhao Mu

Embedded boundary methods alleviate many computational challenges, including those associated with meshing complex geometries and solving problems with evolving domains and interfaces. Developing model reduction methods for computational…

计算物理 · 物理学 2014-07-09 Maciej Balajewicz , Charbel Farhat

We have developed a new embedding method for solving scalar hyperbolic conservation laws on surfaces. The approach represents the interface implicitly by a signed distance function following the typical level set method and some embedding…

数值分析 · 数学 2023-07-17 Chun Kit Hung , Shingyu Leung

Lightweight, single-use explosion containment structures provide an effective solution for neutralizing rogue explosives, combining affordability with ease of transport. This paper introduces a three-stage simulation framework that captures…

流体动力学 · 物理学 2026-05-21 Aditya Narkhede , Shafquat Islam , Xingsheng Sun , Kevin Wang

A fluid mechanics problem is solved which technological prototype is a fluid acoustic contact that is an inherent element of ultrasonic non-destructive testing procedures. It is well known that the acoustic contact established with an…

流体动力学 · 物理学 2026-03-19 Denis S. Goldobin , Yuriy L. Raikher

The Immersed Boundary method has evolved into one of the most useful computational methods in studying fluid structure interaction. On the other hand, the Immersed Boundary method is also known to suffer from a severe timestep stability…

计算工程、金融与科学 · 计算机科学 2009-11-13 Thomas Y. Hou , Zuoqiang Shi

Stable partitioned techniques for simulating unsteady fluid-structure interaction (FSI) are known to be computationally expensive when high added-mass is involved. Multiple coupling strategies have been developed to accelerate these…

计算工程、金融与科学 · 计算机科学 2025-02-18 Azzeddine Tiba , Thibault Dairay , Florian de Vuyst , Iraj Mortazavi , Juan-Pedro Berro Ramirez

Fluid flow applications can involve a number of coupled problems. One is the simulation of free-surface flows, which require the solution of a free-boundary problem. Within this problem, the governing equations of fluid flow are coupled…

数值分析 · 数学 2015-01-26 Stefanie Elgeti , Henning Sauerland

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

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

The present study aims to extend the applicability of the static-boundary absorption method in phase-resolving CFD simulations outside the conventional shallow-water waves limit. Even though this method was originally formulated for…

流体动力学 · 物理学 2020-11-26 Muhannad W. Gamaleldin , Alexander V. Babanin , Amin Chabchoub

We develop a three-dimensional Eulerian framework to simulate fluid-structure interaction (FSI) problems on a fixed Cartesian grid using the geometric volume-of-fluid (VOF) method. The coupled problem involves incompressible flow and…

流体动力学 · 物理学 2025-05-30 Soham Prajapati , Ali Fakhreddine , Krishnan Mahesh

We present a barrier method for treating frictional contact on interfaces embedded in finite elements. The barrier treatment has several attractive features, including: (i) it does not introduce any additional degrees of freedom or…

数值分析 · 数学 2022-06-17 Yidong Zhao , Jinhyun Choo , Yupeng Jiang , Minchen Li , Chenfanfu Jiang , Kenichi Soga

Micro-scale continuum robots face significant limitations in achieving three-dimensional contact force perception, primarily due to structural miniaturization, nonlinear mechanical, and sensor integration. To overcome these limitations,…

机器人学 · 计算机科学 2026-03-10 Gang Zhang , Junyan Yan , Jibiao Chen , Shing Shin Cheng

This paper develops a computational framework with unfitted meshes to solve linear piezoelectricity and flexoelectricity electromechanical boundary value problems including strain gradient elasticity at infinitesimal strains. The high-order…

数值分析 · 数学 2020-10-08 David Codony , Onofre Marco , Sonia Fernández-Méndez , Irene Arias

A microfluidic device is constructed from PDMS with a single channel having a short section that is a thin flexible membrane, in order to investigate the complex fluid-structure interaction that arises between a flowing fluid and a…

软凝聚态物质 · 物理学 2020-07-03 Debadi Chakraborty , J. Ravi Prakash , Leslie Yeo , James Friend

The unavailability of accurate boundary treatment methods for compressible Smoothed Particle Hydrodynamics (SPH) severely limits its ability to simulate flows in and around bodies. To this end, challenges specific to compressible flows with…

流体动力学 · 物理学 2024-08-27 Navaneet Villodi , Prabhu Ramachandran

We present a novel method for fluid structure interaction (FSI) simulations where an original 2nd-order curved space lattice Boltzmann fluid solver (LBM) is coupled to a finite element method (FEM) for thin shells. The LBM can work…

Motivated by the increased interest in pulsed-power magneto-inertial fusion devices in recent years, we present a method for implementing an arbitrarily shaped embedded boundary on a Cartesian mesh while solving the equations of…

计算物理 · 物理学 2026-01-08 Samuel W. Jones , Colin P. McNally , Meritt Reynolds

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