English
Related papers

Related papers: Optimization with nonstationary, nonlinear monolit…

200 papers

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…

In this paper, we present a novel interface-driven adaptive variational procedure using a fully Eulerian description of fluid-structure interaction. The proposed fully-Eulerian procedure involves a fixed background unstructured mesh on…

Computational Physics · Physics 2022-02-08 Biswajeet Rath , Xiaoyu Mao , Rajeev K. Jaiman

This work presents a partitioned solution procedure to compute shape gradients in fluid-structure interaction (FSI) using black-box adjoint solvers. Special attention is paid to project the gradients onto the undeformed configuration. This…

Numerical Analysis · Mathematics 2019-12-09 Reza Najian Asl , Ihar Antonau , Aditya Ghantasala , Wulf G. Dettmer , Roland Wuchner , Kai-Uwe Bletzinger

We present a parallel time-stepping method for fluid-structure interactions. The interaction between the incompressible Navier-Stokes equations and a hyperelastic solid is formulated in a fully monolithic framework. Discretization in space…

Numerical Analysis · Mathematics 2022-01-19 Nils Margenberg , Thomas Richter

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…

Computational Engineering, Finance, and Science · Computer Science 2025-02-18 Azzeddine Tiba , Thibault Dairay , Florian de Vuyst , Iraj Mortazavi , Juan-Pedro Berro Ramirez

We consider a distributed Lagrange multiplier formulation for fluid-structure interaction problems in the spirit of the fictitious domain approach. This is an unfitted method, which does not require the construction of meshes conforming to…

Numerical Analysis · Mathematics 2026-02-10 Daniele Boffi , Fabio Credali , Lucia Gastaldi

In order to solve the fluid-structure interaction problem of Newtonian fluid, a fluid-structure interaction approach is proposed based on Non-ordinary State-based Peridynamics (NOSB-PD) and Updated Lagrangian particle Hydrodynamics (ULPH),…

Fluid Dynamics · Physics 2024-07-29 Zhen Wang , Junsong Xiong , Xiang Liu , Lisheng Liu , Xin Lai

We present a hybrid partitioned deep learning framework for the reduced-order modeling of fluid-structure interaction. Using the discretized Navier-Stokes in the arbitrary Lagrangian-Eulerian reference frame, we generate the full-order flow…

Fluid Dynamics · Physics 2021-11-02 Rachit Gupta , Rajeev Kumar Jaiman

We report a novel physics-informed neural framework for reconstructing unsteady fluid-structure interactions (FSI) from sparse, single-phase observations of the flow. Our approach combines a modal surface model with coordinate neural…

Fluid Dynamics · Physics 2026-04-07 Rui Tang , Ke Zhou , Jifu Tan , Samuel J. Grauer

Fluid-structure interaction (FSI) problems are pervasive in the computational engineering community. The need to address challenging FSI problems has led to the development of a broad range of numerical methods addressing a variety of…

Numerical Analysis · Mathematics 2024-09-23 Andreas Hessenthaler , Maximilian Balmus , Oliver Röhrle , David Nordsletten

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…

Computational Physics · Physics 2023-05-03 Dominic Mokbel , Helmut Abels , Sebastian Aland

This article introduces, and reviews recent work using, a simple optimisation technique for analysing the nonlinear stability of a state in a dynamical system. The technique can be used to identify the most efficient way to disturb a system…

Fluid Dynamics · Physics 2014-08-18 R. R. Kerswell , C. C. T. Pringle , A. P. Willis

We propose a partitioned method for the monolithic formulation of the Stokes-Biot system that incorporates Lagrange multipliers enforcing the interface conditions. The monolithic system is discretized using finite elements, and we establish…

Numerical Analysis · Mathematics 2026-01-21 Amy de Castro , Hyesuk Lee

We propose a monolithic Eulerian variational formulation in non-classical sense of continuum description for the analysis of micro-viscosity parameters at micro-structural level. In this respect, Cosesrat fluid-structure interaction CFSI…

Numerical Analysis · Mathematics 2022-03-31 Nazim Hussain , Muhammad Sabeel Khan , Lisheng Liu

Fluid-solid interaction (FSI) problems are fundamental in many scientific and engineering applications, yet effectively capturing the highly nonlinear two-way interactions remains a significant challenge. Most existing deep learning methods…

Machine Learning · Computer Science 2026-03-03 Shilong Tao , Zhe Feng , Shaohan Chen , Weichen Zhang , Zhanxing Zhu , Yunhuai Liu

In this paper, we propose two monolithic fully discrete finite element methods for fluid-structure interaction (FSI) based on a novel Piola-type Arbitrary Lagrangian-Eulerian (ALE) mapping. For the temporal discretization, we apply the…

Numerical Analysis · Mathematics 2026-04-09 Shuaijun Liu , Xiaoping Xie

We consider a fluid-structure interaction problem with Navier-slip boundary conditions in which the fluid is considered as a non-Newtonian fluid and the structure is described by a nonlinear multi-layered model. The fluid domain is driven…

Analysis of PDEs · Mathematics 2021-02-02 Wenjun Liu , Yadong Liu , Jun Yu

A variational formulation based on velocity and stress is developed for linear fluid-structure interaction (FSI) problems. The well-posedness and energy stability of this formulation are established. To discretize the problem, a…

Numerical Analysis · Mathematics 2024-04-23 Salim Meddahi

We study a nonlinear, unsteady, moving boundary, fluid-structure interaction (FSI) problem arising in modeling blood flow through elastic and viscoelastic arteries. The fluid flow, which is driven by the time-dependent pressure data, is…

Analysis of PDEs · Mathematics 2015-06-05 Boris Muha , Suncica Canic

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)…

Numerical Analysis · Mathematics 2024-02-21 Cheng Wang , Pengtao Sun , Yumiao Zhang , Jinchao Xu , Yan Chen , Jiarui Han