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In this paper we have studied subgrid multiscale stabilized formulation with dynamic subscales for non-Newtonian Casson fluid flow model tightly coupled with variable coefficients ADR ($VADR$) equation. The Casson viscosity coefficient is…

Numerical Analysis · Mathematics 2021-05-20 B. V. Rathish Kumar , Manisha Chowdhury

This paper presents a quasi-monolithic localized high-order arbitrary Lagrangian-Eulerian (qMLH-ALE) finite element method for multi-scale fluid-structure interaction (FSI) in microfluidic systems. The fluid momentum, the incompressible…

Numerical Analysis · Mathematics 2026-05-26 Lingyue Shen , Qi Xin , Yan Chen , Jiarui Han , Yumiao Zhang , Jinchao Xu , Shihua Gong

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…

Numerical Analysis · Mathematics 2014-08-19 Ulrich Langer , Huidong Yang

In this article we describe a stable partitioned algorithm that overcomes the added mass instability arising in fluid-structure interactions of light rigid bodies and inviscid compressible flow. The new algorithm is stable even for bodies…

Numerical Analysis · Mathematics 2015-06-11 J. W. Banks , W. D. Henshaw , B. Sjogreen

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

This paper deals with the numerical modelling of the interaction between a fluid and an incompressible solid (Neo Hookean) in small perturbations with the lattice Boltzmann method (LBM). In order to use a monolithic formulation and to solve…

Computational Physics · Physics 2020-11-18 Sébastien Mey , Erwan Liberge , Claudine Béghein

Three-phase multiphase flows are found in an extraordinarily large number of applications. Often those involve a liquid phase and a gas phase in addition to a third phase that consists of either liquid drops or solid particles, suspended in…

Fluid Dynamics · Physics 2024-12-11 Lei Zeng , Hamideh Rouhanitazangi , Xianyang Chen , Jiacai Lu , Gretar Tryggvason

Variational multiscale (VMS) methods offer a robust framework for handling under-resolved flow scales without resorting to problem-specific turbulence models. Here, we propose and assess a dynamic, term-by-term VMS stabilized formulation…

Fluid Dynamics · Physics 2026-02-06 Diego Escobar , Douglas Pacheco , Alejando Aguirre , Ernesto Castillo

The present work proposes an approach for fluid-solid and contact interaction problems including thermo-mechanical coupling and reversible phase transitions. The solid field is assumed to consist of several arbitrarily-shaped, undeformable…

Computational Engineering, Finance, and Science · Computer Science 2021-09-14 Sebastian L. Fuchs , Christoph Meier , Wolfgang A. Wall , Christian J. Cyron

We investigate a multirate time step approach applied to decoupled methods in fluid and structure interaction(FSI) computation, where two different time steps are used for fluid and structure respectively. For illustration, the multirate…

Numerical Analysis · Mathematics 2018-10-30 Lian Zhang , Mingchao Cai , Mo Mu

A stable added-mass partitioned (AMP) algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and compressible elastic solids. Deforming composite grids are used to effectively handle the…

Numerical Analysis · Mathematics 2019-10-23 Daniel A. Serino , Jeffrey W. Banks , William D. Henshaw , Donald W. Schwendeman

We present a novel formulation based on an immersed coupling of Isogeometric Analysis (IGA) and Peridynamics (PD) for the simulation of fluid-structure interaction (FSI) phenomena for air blast. We aim to develop a practical computational…

Numerical Analysis · Mathematics 2021-08-26 Masoud Behzadinasab , Georgios Moutsanidis , Nathaniel Trask , John T. Foster , Yuri Bazilevs

This work outlines a new multi-physics-compatible immersed rigid body method for Eulerian finite-volume simulations. To achieve this, rigid bodies are represented as a diffuse scalar field and an interface seeding method is employed to…

Computational Physics · Physics 2022-03-15 Tim Wallis , Philip Barton , Nikolaos Nikiforakis

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

In this paper we describe a computational model for the simulation of fluid-structure interaction problems based on a fictitious domain approach. We summarize the results presented over the last years when our research evolved from the…

Numerical Analysis · Mathematics 2021-04-29 Daniele Boffi , Lucia Gastaldi

This article presents stability and convergence analyses of subgrid multiscale stabilized finite element formulation of non-Newtonian power-law fluid flow model strongly coupled with variable coefficients Advection-Diffusion-Reaction…

Numerical Analysis · Mathematics 2021-02-19 Manisha Chowdhury , B. V. Rathish Kumar

The numerical approximation of incompressible fluid-structure interaction problems with Lagrange multiplier is generally based on strongly coupled schemes. This delivers unconditional stability but at the expense of solving a…

Numerical Analysis · Mathematics 2020-07-10 Michele Annese , Miguel A. Fernández , Lucia Gastaldi

This paper describes the results of our theoretical and numerical studies of hydrodynamic interactions in a suspension of spherical particles confined between two parallel planar walls, under creeping-flow conditions. We propose a novel…

Soft Condensed Matter · Physics 2009-11-11 S. Bhattacharya , J. Blawzdziewicz , E. Wajnryb

Passive flow control via fluid-structure interaction (FSI) is a promising paradigm for unmanned aerial vehicles operating in vortex-dominated low Reynolds number regimes. A flexible structure has the potential to passively alter key…

Fluid Dynamics · Physics 2024-11-07 Srikumar Balasubramanian , Andres Goza

A stable partitioned algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and rigid bodies. This {\em added-mass partitioned} (AMP) algorithm remains stable, without sub-iterations, for…

Numerical Analysis · Mathematics 2017-06-07 J. W. Banks , W. D. Henshaw , D. W. Schwendeman , Qi Tang