Modeling and simulations for fluid and rotating structure interactions

Yang, Kai; Sun, Pengtao; Wang, Lu; Xu, Jinchao; Zhang, Lixiang

doi:10.1016/j.cma.2016.09.020

Cited by 25 publications

(19 citation statements)

References 64 publications

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“…As described in [41], this is a matter of the right choice of the fluid volume force f . The simplified linear FSI problem ( 16)-( 18) can be seen as a linearization of a truly nonlinear dynamics under the assumption of small displacements [53].…”

Section: Heuristic Derivation Of Reduced Modelsmentioning

confidence: 99%

A review on rigorous derivation of reduced models for fluid-structure interaction systems

Bukal¹,

Muha²

2020

Preprint

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In this paper we review and systematize the mathematical theory on justification of sixth-order thin-film equations as reduced models for various fluid -structure interaction systems in which fluids are lubricating underneath elastic structures. Justification is based on careful examination of energy estimates, weak convergence results of solutions of the original fluid -structure interaction systems to the solution of the sixth-order thin-film equation, and quantitative error estimates which provide even strong convergence results.

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Section: Heuristic Derivation Of Reduced Modelsmentioning

confidence: 99%

A review on rigorous derivation of reduced models for fluid-structure interaction systems

Bukal¹,

Muha²

2020

Preprint

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“…(3) The boundary of the horizontal pipe model adopted the "Stationary-Wall" boundary condition [59]. The pipe has been considered to be hydrodynamically smooth, having a wall roughness constant of zero.…”

Section: Governing Equations Of Fluid Domainmentioning

confidence: 99%

Hydraulic Characteristics of Transporting a Piped Carriage in a Horizontal Pipe Based on the Bidirectional Fluid-Structure Interaction

Zhang

Sun

et al. 2018

Mathematical Problems in Engineering

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Energy shortage restricts the rapid development of the global transport industry. Trying to develop innovative modes of transport becomes an inevitable trend. Hydraulic Capsule Pipelines (HCPs) are the freight transportation modes that use a kind of fluid to push capsules filled with bulk solids materials through water-filled pipelines. HCPs not only alleviate everincreasing costs caused by energy scarcities and oil price up, but also solve issues like traffic congestion and environmental pollution. Published literature is mainly limited to numerical simulation of the unidirectional fluid-structure interaction between the capsules and the fluid inside the pipelines; furthermore, the hydraulic characteristics only involve the speed of the capsules and the pressure drop characteristics of the fluid within the pipe. This research was conducted on the following four aspects of HCPs. First, an improved cylindrical capsule called a “piped carriage” was evaluated. Second, an associated solution between the fluid domain within the pipe and the solid domain of the piped carriage was investigated numerically on the basis of the bidirectional fluid-structure interaction methods. Third, the effects of diameter ratio b (ratio of a diameter of the piped carriage De to a pipe diameter Dp, widely ranging in b=0.4~0.95) on hydraulic characteristics of transporting the piped carriage within the pipeline were extensively discussed. Finally, based on Least-Cost Principle, an optimization model of HCPs was effectively built. The results showed that the simulated results were in good agreement with the experimental results, which further indicated that it was feasible for solving the hydraulic characteristics of transporting the piped carriage by using the bidirectional fluid-structure interaction methods. The results will be of great reference value for further research on HCPs and also provide a theoretical foundation for the optimal design of HCPs.

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“…For the existence of solutions for moving FSI problems, see other studies 11‐20 and references therein. For a numerical algorithm for solving moving FSI problems, see other references 21‐23 and references therein.…”

Section: Introductionmentioning

confidence: 99%

Existence of global weak solutions for the high frequency and small displacement oscillation fluid–structure interaction systems

Shen

Wang

Feng

2020

Math Methods in App Sciences

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The purpose of this paper is to study the fluid–structure interaction (FSI) problem which is a simplified model to describe high frequency and small displacement oscillation of elastic structure in fluids. The elastic structure displacement is modeled by a fourth‐order nonlinear hyperbolic square equations, the motion of fluid is modeled by the time‐dependent incompressible Navier–Stokes equations. We prove the existence of at least one weak solution (global in time) to this problem by compactness method. The result both holds for two‐dimensional and three‐dimensional cases.

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Modeling and simulations for fluid and rotating structure interactions

Cited by 25 publications

References 64 publications

A review on rigorous derivation of reduced models for fluid-structure interaction systems

A review on rigorous derivation of reduced models for fluid-structure interaction systems

Hydraulic Characteristics of Transporting a Piped Carriage in a Horizontal Pipe Based on the Bidirectional Fluid-Structure Interaction

Existence of global weak solutions for the high frequency and small displacement oscillation fluid–structure interaction systems

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