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The floating structure problem describes the interaction between surface water waves and a floating body, generally a boat or a wave energy converter. As shown by Lannes in [18] the equations for the fluid motion can be reduced to a set of…

偏微分方程分析 · 数学 2019-10-22 Edoardo Bocchi

The paper deals with the well-posedness of the strong solution of fluid-structure interaction problem when the mixed boundary conditions are considered.

偏微分方程分析 · 数学 2018-05-01 Hind Al Baba , Nikolai V. Chemetov , Sarka Necasova , Boris Muha

A defect-deferred correction method, increasing both temporal and spatial accuracy, for fluid-fluid interaction problem with nonlinear interface condition is considered by geometric averaging of the previous two-time levels. In the defect…

数值分析 · 数学 2020-06-02 Mustafa Aggul , Songül Kaya

We analyse a mechanical system in two-dimensional relative motion with friction. Although the system is simple, the peculiar interplay between two kinetic friction forces and gravity leads to the wide range of admissible solutions exceeding…

物理教育 · 物理学 2007-05-23 Dariusz Grech , Zygmunt Mazur

We study the convergence and error estimates of a finite volume method for the compressible Navier-Stokes-Fourier system with Dirichlet boundary conditions. Physical fluid domain is typically smooth and needs to be approximated by a…

数值分析 · 数学 2023-08-08 Maria Lukacova-Medvidova , Bangwei She , Yuhuan Yuan

We propose a simple model to analyze the traffic of droplets in microfluidic ``dual networks''. Such functional networks which consist of two types of channels, namely those accessible or forbidden to droplets, often display a complex…

流体动力学 · 物理学 2008-01-30 M. Schindler , A. Ajdari

Drawing inspiration from the lateral lines of fish, the inference of flow characteristics via surface-based data has drawn considerable attention. The current approaches often rely on analytical methods tailored exclusively for potential…

流体动力学 · 物理学 2023-11-03 Colin Rodwell , Kumar Sourav , Phanindra Tallapragada

A new approach for reducing error of the volume penalization method is proposed. The mask function is modified by shifting the interface between solid and fluid by ({\nu}{\eta})^0.5 toward the fluid region, where {\nu} and {\eta} are the…

计算物理 · 物理学 2014-09-05 Wakana Iwakami , Yuzuru Yatagai , Nozomu Hatakeyama , Yuji Hattori

Cut finite element method (CutFEM) based approaches towards challenging fluid-structure interaction (FSI) are proposed. The different considered methods combine the advantages of competing novel Eulerian (fixed-grid) and established…

计算工程、金融与科学 · 计算机科学 2018-07-31 Benedikt Schott , Christoph Ager , Wolfgang A. Wall

This paper introduces a sharp interface method to simulate fluid-structure interaction (FSI) involving rigid bodies immersed in viscous incompressible fluids. The capabilities of this methodology are demonstrated for a range of benchmark…

Nitsche's method is a popular approach to implement Dirichlet-type boundary conditions in situations where a strong imposition is either inconvenient or simply not feasible. The method is widely applied in the context of unfitted finite…

数值分析 · 数学 2019-12-17 Frits de Prenter , Christoph Lehrenfeld , André Massing

Three-field Fluid-Structure Interaction (FSI) formulations for fluid and solid are applied and compared to the standard two field-one field formulation for fluid and solid, respectively. Both formulations are applied in a non linear setting…

数值分析 · 数学 2020-10-13 Alexis Tello , Ramon Codina

A new consistent, spatially adaptive, smoothed particle hydrodynamics (SPH) method for Fluid-Structure Interactions (FSI) is presented. The method combines several attributes that have not been simultaneously satisfied by other SPH methods.…

流体动力学 · 物理学 2019-02-20 Wei Hu , Guannan Guo , Xiaozhe Hu , Dan Negrut , Zhijie Xu , Wenxiao Pan

We analyse three time integration schemes for unfitted methods in fluid structure interaction. In Alghorithm 1 we propose a fully discrete monolithic algorithm with P1 P1 stabilized finite elements for the fluid problem; for this alghorithm…

数值分析 · 数学 2021-05-27 Michele Annese

The LBM is combined with the Volume Penalization (VP LBM) approach to simulate flows in the presence of obstacles. The single relaxation time LBM and the multiple relaxation time LBM are used. For cases where the fluid motion is enhanced by…

流体动力学 · 物理学 2018-12-14 M. Benamour , E. Liberge , C. Béghein

A new model for the numerical simulation of a rigid body moving in a viscous fluid flow using FEM is presented. One of the most interesting features of this approach is the small computational effort required to solve the motion of the…

流体动力学 · 物理学 2020-12-17 M. I. Herreros , S. Ligüérzana

We study a recently introduced formulation for fluid-structure interaction problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. The time discretization of the problem leads to a mixed…

数值分析 · 数学 2017-05-01 Daniele Boffi , Lucia Gastaldi

The paper presents a numerical method for simulating flow and mechanics in fractured rock. The governing equations that couple the effects in the rock mass and in the fractures are obtained using the discrete fracture-matrix approach. The…

数值分析 · 数学 2024-03-13 Jan Stebel , Jakub Kružík , David Horák , Jan Březina , Michal Béreš

We present a novel formulation for the immersed coupling of Isogeometric Analysis (IGA) and Peridynamics (PD) for the simulation of fluid-structure interaction (FSI). We focus on air-blast FSI and address the computational challenges of…

数值分析 · 数学 2021-11-09 Masoud Behzadinasab , Michael Hillman , Yuri Bazilevs

We prove the existence of martingale solutions to a stochastic fluid-structure interaction problem involving a viscous, incompressible fluid flow, modeled by the Navier-Stokes equations, through a deformable elastic tube modeled by…

偏微分方程分析 · 数学 2024-02-22 Krutika Tawri