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We present and analyze a penalization method wich extends the the method of [1] to the case of a rigid body moving freely in an incompressible fluid. The fluid-solid system is viewed as a single variable density flow with an interface…

偏微分方程分析 · 数学 2009-01-15 Claire Bost , Georges-Henri Cottet , Emmanuel Maitre

This paper proposes an approach combining the Volume Penalization (VP) and the the Lattice Boltzmann method (LBM) to compute fluid structure interaction involving rigid bodies. The method consists in adding a force term in the LBM…

计算物理 · 物理学 2021-06-11 Erwan Liberge , Claudine Béghein

A constraint penalization method is introduced within the Lattice Boltzmann (LBM) framework to model fluid-structure interactions involving rigid bodies. The proposed approach extends the fictitious domain concept by enforcing the…

流体动力学 · 物理学 2025-11-04 Tristan Millet , Erwan Liberge

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 paper introduces a finite element method for the incompressible Navier--Stokes equations posed on a closed surface $\Gamma\subset\R^3$. The method needs a shape regular tetrahedra mesh in $\mathbb{R}^3$ to discretize equations on the…

数值分析 · 数学 2019-03-27 Maxim A. Olshanskii , Vladimir Yushutin

The penalization method is used to take account of obstacles in a tokamak, such as the limiter. We study a non linear hyperbolic system modelling the plasma transport in the area close to the wall. A penalization which cuts the transport…

数值分析 · 数学 2011-10-05 Philippe Angot , Thomas Auphan , Olivier Guès

In this paper, two different approaches fluid forces computation approaches are compared in the frame of Volume Penalization - Lattice Boltzmann Method (VP-LBM). The first method, the momentum exchange method, uses the variation of the…

流体动力学 · 物理学 2021-10-05 E. Liberge , C. Béghein

We present a method for computing fluid-structure interaction problems for multi-body systems. The fluid flow equations are solved using a fractional-step method with the immersed boundary method proposed by Uhlmann [J. Comput Phys. 209…

流体动力学 · 物理学 2022-03-02 Gonzalo Arranz , Cayetano Martínez-Muriel , Oscar Flores , Manuel García-Villalba

Over the past few decades, there has been a rapid improvement in computational power as well as techniques to simulate the real world phenomenon which has enabled us to understand the physics and develop new systems which outperform the…

计算物理 · 物理学 2020-06-09 Sumant R Morab , Atul Sharma

We outline a 2D algorithm for solving incompressible flow--structure interaction problems for mixed rigid/soft body representations, within a consistent framework based on the remeshed vortex method. We adopt the one--continuum formulation…

计算物理 · 物理学 2021-08-18 Yashraj Bhosale , Tejaswin Parthasarathy , Mattia Gazzola

The distribution of forces on the surface of complex, deforming geometries is an invaluable output of flow simulations. One particular example of such geometries involves self-propelled swimmers. Surface forces can provide significant…

流体动力学 · 物理学 2017-04-25 Siddhartha Verma , Gabriele Abbati , Guido Novati , Petros Koumoutsakos

Feasibility pumps are highly effective primal heuristics for mixed-integer linear and nonlinear optimization. However, despite their success in practice there are only few works considering their theoretical properties. We show that…

最优化与控制 · 数学 2017-08-01 Björn Geißler , Antonio Morsi , Lars Schewe , Martin Schmidt

Immersed boundary methods for computing confined fluid and plasma flows in complex geometries are reviewed. The mathematical principle of the volume penalization technique is described and simple examples for imposing Dirichlet and Neumann…

等离子体物理 · 物理学 2015-10-07 Kai Schneider

We analyze a mathematical model that describes the interaction between an insulating rigid body and an incompressible electrically conducting fluid surrounding it. The model as well as the mathematical analysis involve the fields of…

偏微分方程分析 · 数学 2023-01-30 Barbora Benešová , Šárka Nečasová , Jan Scherz , Anja Schlömerkemper

We present the implementation of a solution scheme for fluid-structure interaction problems via the finite element software library deal.II. The solution scheme is an immersed finite element method in which two independent discretizations…

数值分析 · 数学 2012-09-14 Luca Heltai , Saswati Roy , Francesco Costanzo

We apply the method of penalization to the Dirichlet problem for the Navier-Stokes-Fourier system governing the motion of a general viscous compressible fluid confined to a bounded Lipschitz domain. The physical domain is embedded into a…

偏微分方程分析 · 数学 2021-12-21 Danica Basarić , Eduard Feireisl , Mária Lukáčová-Medviďová , Hana Mizerová , Yuhuan Yuan

This paper presents a numerical method for the simulation of fluid-structure interaction specifically tailored to interactions between Newtonian fluids and a large number of slender viscoelastic Cosserat rods. Because of their high…

软凝聚态物质 · 物理学 2022-01-13 S. Tschisgale , J. Fröhlich

We consider flow-structure interactions modeled by a modified wave equation coupled at an interface with equations of nonlinear elasticity. Both subsonic and supersonic flow velocities are treated with Neumann type flow conditions, and a…

偏微分方程分析 · 数学 2013-11-08 Igor Chueshov , Irena Lasiecka , Justin T. Webster

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

A penalization method for a suitable reformulation of the governing equations as a constrained optimization problem provides accurate numerical simulations for large-amplitude travelling water waves in irrotational flows and in flows with…

流体动力学 · 物理学 2014-08-12 Adrian Constantin , Konstantinos Kalimeris , Otmar Scherzer
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