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In this work, we propose a simple numerical scheme based on a fast front-tracking approach for solving a fluid-structure interaction (FSI) problem of plaque growth in blood vessels. A rigorous error analysis is carried out for the temporal…

数值分析 · 数学 2023-07-24 Zhaoyang Wang , Ping Lin

In this paper, we develop a novel phase-field model for fluid-structure interaction (FSI), that is capable to handle very large deformations as well as topology changes like contact of the solid to the domain boundary. The model is based on…

计算物理 · 物理学 2023-05-03 Dominic Mokbel , Helmut Abels , Sebastian Aland

In our recent work, we introduced the reduced unified continuum formulation for vascular fluid-structure interaction (FSI) and demonstrated enhanced solver accuracy, scalability, and performance compared to conventional approaches. We…

计算物理 · 物理学 2022-03-03 Ingrid S. Lan , Ju Liu , Weiguang Yang , Judith Zimmermann , Daniel B. Ennis , Alison L. Marsden

The governing equations and numerical solution strategy to solve porohyperelastic problems as multiscale multiphysics media are provided in this contribution. The problem starts from formulating and non-dimensionalising a Fluid-Solid…

计算工程、金融与科学 · 计算机科学 2023-02-22 Hamidreza Dehghani , Andreas Zilian

High-resolution and anatomically realistic computer models of biological soft tissues play a significant role in the understanding of the function of cardiovascular components in health and disease. However, the computational effort to…

医学物理 · 物理学 2015-08-12 Christoph M. Augustin , Gerhard A. Holzapfel , Olaf Steinbach

Based upon two overlapped, body-unfitted meshes, a type of unified-field monolithic fictitious domain-finite element method (UFMFD-FEM) is developed in this paper for moving interface problems of dynamic fluid-structure interactions (FSI)…

数值分析 · 数学 2024-02-21 Cheng Wang , Pengtao Sun , Yumiao Zhang , Jinchao Xu , Yan Chen , Jiarui Han

We develop a theory of fluid--structure interaction (FSI) between an oscillatory Newtonian fluid flow and a compliant conduit. We consider the canonical geometries of a 2D channel with a deformable top wall and an axisymmetric deformable…

流体动力学 · 物理学 2023-12-22 Shrihari D. Pande , Xiaojia Wang , Ivan C. Christov

We present the development and benchmarking of an in-house fluid-structure interaction (FSI) solver. An implicit partitioned approach is utilized to couple a sharp-interface immersed boundary (IB) method based flow solver and a…

流体动力学 · 物理学 2020-05-07 Anup Kundu , Atul K. Soti , Hemanshul Garg , Rajneesh Bhardwaj , Mark C. Thompson

In this paper, we consider a monolithic approach to handle coupled fluid-structure interaction problems with different hyperelastic models in an all-at-once manner. We apply Newton's method in the outer iteration dealing with nonlinearities…

数值分析 · 数学 2014-08-19 Ulrich Langer , Huidong Yang

Aquatic locomotion is a classic fluid-structure interaction (FSI) problem of interest to biologists and engineers. Solving the fully coupled FSI equations for incompressible Navier-Stokes and finite elasticity is computationally expensive.…

We study the impact of using fluid-structure interactions (FSI) to simulate blood flow in a large stenosed artery. We compare typical flow configurations using Navier-Stokes in a rigid geometry setting to a fully coupled FSI model. The…

计算物理 · 物理学 2021-02-01 Lukas Failer , Piotr Minakowski , Thomas Richter

Partitioned methods for fluid-structure interaction (FSI) involve solving the structural and flow problems sequentially. These methods allow for separate settings for the fluid and solid subsystems and thus modularity, enabling reuse of…

计算工程、金融与科学 · 计算机科学 2025-06-05 A. Aissa-Berraies , Ferdinando A. Auricchio , Gertjan van Zwieten , E. Harald van Brummelen

Routine applications of electronic structure theory to molecules and periodic systems need to compute the electron density from given Hamiltonian and, in case of non-orthogonal basis sets, overlap matrices. System sizes can range from few…

A patient-specific fluid-structure interaction (FSI) model of a phase-contrast magnetic resonance angiography (PC-MRA) imaged arteriovenous fistula is presented. The numerical model is developed and simulated using a commercial multiphysics…

医学物理 · 物理学 2018-01-30 W. P. Guess , B. D. Reddy , A. McBride , B. Spottiswoode , J. Downs , T. Franz

Surface-subsurface flow models for hydrological applications solve a coupled multiphysics problem. This usually consists of some form of the Richards and shallow water equations. A typical setup couples these two nonlinear partial…

数值分析 · 数学 2025-04-25 Valentina Schüller , Philipp Birken , Andreas Dedner

We present and analyze a parallel solver for the solution of fluid structure interaction problems described by a fictitious domain approach. In particular, the fluid is modeled by the non-stationary incompressible Navier-Stokes equations,…

数值分析 · 数学 2024-02-07 Daniele Boffi , Fabio Credali , Lucia Gastaldi , Simone Scacchi

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…

We implement full, three-dimensional constrained mixture theory for vascular growth and remodeling into a finite element fluid-structure interaction (FSI) solver. The resulting "fluid-solid-growth" (FSG) solver allows long term,…

A unified fluid-structure interaction (FSI) formulation is presented for solid, liquid and mixed membranes. Nonlinear finite elements (FE) and the generalized-alpha scheme are used for the spatial and temporal discretization. The membrane…

计算物理 · 物理学 2018-12-31 Roger A. Sauer , Tobias Luginsland

Venous valves are bicuspidal valves that ensure that blood in veins only flows back to the heart. To prevent retrograde blood flow, the two intraluminal leaflets meet in the center of the vein and occlude the vessel. In fluid-structure…

数值分析 · 数学 2018-05-04 Sara Calandrini , Eugenio Aulisa