Inexact accurate partitioned algorithms for fluid–structure interaction problems with finite elasticity in haemodynamics

F Nobile, M Pozzoli, C Vergara - Journal of Computational Physics, 2014 - Elsevier
In this paper we consider the numerical solution of the three-dimensional fluid–structure
interaction problem in haemodynamics, in the case of real geometries, physiological data …

Time accurate partitioned algorithms for the solution of fluid–structure interaction problems in haemodynamics

F Nobile, M Pozzoli, C Vergara - Computers & Fluids, 2013 - Elsevier
In this work we deal with the numerical solution of the fluid–structure interaction problem
arising in the haemodynamic environment. In particular, we consider BDF and Newmark …

Partitioned algorithms for fluid-structure interaction problems in haemodynamics

F Nobile, C Vergara - Milan journal of mathematics, 2012 - Springer
We consider the fluid-structure interaction problem arising in haemodynamic applications.
The finite elasticity equations for the vessel are written in Lagrangian form, while the Navier …

Refactorization of Cauchy's method: A second-order partitioned method for fluid–thick structure interaction problems

M Bukač, A Seboldt, C Trenchea - Journal of Mathematical Fluid …, 2021 - Springer
This work focuses on the derivation and the analysis of a novel, strongly-coupled partitioned
method for fluid–structure interaction problems. The flow is assumed to be viscous and …

Stable loosely-coupled-type algorithm for fluid–structure interaction in blood flow

G Guidoboni, R Glowinski, N Cavallini… - Journal of Computational …, 2009 - Elsevier
We introduce a novel loosely coupled-type algorithm for fluid–structure interaction between
blood flow and thin vascular walls. This algorithm successfully deals with the difficulties …

A second-order in time approximation of fluid-structure interaction problem

O Oyekole, C Trenchea, M Bukac - SIAM Journal on Numerical Analysis, 2018 - SIAM
We propose and analyze a novel, second-order in time, partitioned method for the
interaction between an incompressible, viscous fluid and a thin, elastic structure. The …

Algorithms for fluid-structure interaction problems arising in hemodynamics

A Quaini - 2009 - infoscience.epfl.ch
We discuss in this thesis the numerical approximation of fluid-structure interaction (FSI)
problems with a particular concern (albeit not exclusive) on hemodynamics applications …

Time-adaptive partitioned method for fluid-structure interaction problems with thick structures

M Bukač, G Fu, A Seboldt, C Trenchea - Journal of Computational Physics, 2023 - Elsevier
In this paper, we present a partitioned numerical scheme for solving fluid-structure
interaction (FSI) problems based on the adaptive time-stepping. The viscous …

Added-mass effect in the design of partitioned algorithms for fluid–structure problems

P Causin, JF Gerbeau, F Nobile - Computer methods in applied mechanics …, 2005 - Elsevier
The aim of this work is to provide a mathematical contribution to explain the numerical
instabilities encountered under certain combinations of physical parameters in the …

Fluid–structure partitioned procedures based on Robin transmission conditions

S Badia, F Nobile, C Vergara - Journal of Computational Physics, 2008 - Elsevier
In this article we design new partitioned procedures for fluid–structure interaction problems,
based on Robin-type transmission conditions. The choice of the coefficient in the Robin …