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We present an operator-splitting scheme for fluid-structure interaction (FSI) problems in hemodynamics, where the thickness of the structural wall is comparable to the radius of the cylindrical fluid domain. The equations of linear…

Numerical Analysis · Mathematics 2015-10-28 Martina Bukac , Suncica Canic , Roland Glowinski , Boris Muha , Annalisa Quaini

Simulating the interaction of fluids with immersed moving solids is playing an important role for gaining a better quantitative understanding of how fluid dynamics is altered by the presence of obstacles and which forces are exerted on the…

The aim of this work is to present a parallel solver for a formulation of fluid-structure interaction (FSI) problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. The fluid subproblem,…

Numerical Analysis · Mathematics 2025-03-28 Daniele Boffi , Fabio Credali , Lucia Gastaldi , Simone Scacchi

We develop a numerical method for simulating coupled interactions of complex floating structures with large-scale ocean waves and atmospheric turbulence. We employ an efficient large-scale model to develop offshore wind and wave…

Fluid Dynamics · Physics 2016-05-06 Antoni Calderer , Xin Guo , Lian Shen , Fotis Sotiropoulos

Solving Fluid-Structure Interaction (FSI) problems using traditional methods is a big challenge in the field of numerical simulation. As a powerful multi-physical field coupled library, preCICE has a bright application prospect for solving…

Numerical Analysis · Mathematics 2024-04-30 Sifan Long , Xiaowei Guo , Xiaokang Fan , Canqun Yang

Our paper proposes an innovative approach for modeling Fluid-Structure Interaction (FSI). Our method combines both traditional monolithic and partitioned approaches, creating a hybrid solution that facilitates FSI. At each time iteration,…

Numerical Analysis · Mathematics 2024-01-15 R. Nemer , A. Larcher , E. Hachem

A novel method for complex fluid-structure interaction (FSI) involving large structural deformation and motion is proposed. The new approach is based on a hybrid fluid formulation that combines the advantages of purely Eulerian (fixed-grid)…

Computational Engineering, Finance, and Science · Computer Science 2018-08-02 Benedikt Schott , Christoph Ager , Wolfgang A. Wall

The goal of this paper is to test solids4Foam, the fluid-structure interaction (FSI) toolbox developed for foam-extend (a branch of OpenFOAM), and assess its flexibility in handling more complex flows. For this purpose, we consider the…

Fluid Dynamics · Physics 2021-05-04 Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

In this paper a new monolithic Eulerian formulation in the framework of non-classical continuum is presented for the analysis of fluid-strucuture interaction problems. In this respect, Cosserat continuum theory taking into account the…

Numerical Analysis · Mathematics 2022-04-08 Nazim Hussain , Muhammad Sabeel Khan , Lisheng Liu

Modern data science relies on data analytic pipelines to organize interdependent computational steps. Such analytic pipelines often involve different algorithms across multiple steps, each with its own hyperparameters. To achieve the best…

Machine Learning · Computer Science 2016-06-27 Yuyu Zhang , Mohammad Taha Bahadori , Hang Su , Jimeng Sun

We study correlations of hydrodynamic fluctuations in shear flow analytically and also by dissipative particle dynamics~(DPD) simulations. The hydrodynamic equations are linearized around the macroscopic velocity field and then solved by a…

Fluid Dynamics · Physics 2019-05-02 Xin Bian , Mingge Deng , George Em Karniadakis

Many assembly lines related optimization problems have been tackled by researchers in the last decades due to its relevance for the decision makers within manufacturing industry. Many of theses problems, more specifically Assembly Lines…

Neural and Evolutionary Computing · Computer Science 2017-07-20 Joao Batista Monteiro Filho , Isabela Maria Carneiro de Albuquerque , Fernando Buarque de Lima Neto

An interface control principle is proposed for unsteady fluid-structure in- teraction (FSI) analyses. This principle introduces a method of explicitly controlling the interface motion in the temporal direction to minimize the residual force…

Fluid Dynamics · Physics 2025-10-21 Chungil Lee , Yoshiaki Abe , Yu Kawano , Tomoki Yamazaki

We introduce a new regularized interface method for proving existence of weak solutions to nonlinear moving boundary problems with low-regularity interfaces. We study a fluid-poroelastic structure interaction (FPSI) problem coupling the…

Analysis of PDEs · Mathematics 2025-08-26 Jeffrey Kuan , Sunčica Čanić , Boris Muha

Physics-informed neural networks (PINNs) have emerged as a promising approach for solving complex fluid dynamics problems, yet their application to fluid-structure interaction (FSI) problems with moving boundaries remains largely…

Machine Learning · Computer Science 2025-12-04 Afrah Farea , Saiful Khan , Reza Daryani , Emre Cenk Ersan , Mustafa Serdar Celebi

We present a consistent approach that allows to solve challenging general nonlinear fluid-structure-contact interaction (FSCI) problems. The underlying continuous formulation includes both "no-slip" fluid-structure interaction as well as…

Computational Engineering, Finance, and Science · Computer Science 2019-05-24 Christoph Ager , Alexander Seitz , Wolfgang A. Wall

We present an implementation of a fully variational formulation of an immersed method for fluid-structure interaction problems based on the finite element method. While typical implementation of immersed methods are characterized by the use…

Numerical Analysis · Mathematics 2015-04-10 Saswati Roy , Luca Heltai , Francesco Costanzo

This paper investigates two FEM-BEM coupling formulations for acoustic fluid-structure interaction (FSI) problems, using the Finite Element Method (FEM) to model the structure and the Boundary Element Method (BEM) to represent a linear…

Numerical Analysis · Mathematics 2025-02-04 Luis Rodríguez-Tembleque , José A. González , Antonio Cerrato

In this article, we formulate a monolithic optimal control method for general time-dependent Fluid-Structure Interaction (FSI) systems with large solid deformation. We consider a displacement-tracking type of objective with a constraint of…

Computational Engineering, Finance, and Science · Computer Science 2022-05-25 Yongxing Wang

The plane-cube intersection problem has been around in literature since 1984 and iterative solutions to it have been used as part of piecewise linear interface construction (PLIC) in computational fluid dynamics simulation codes ever since.…

Computational Physics · Physics 2022-01-28 Moritz Lehmann , Stephan Gekle