An immersed boundary method for fluid–structure interaction with compressible multiphase flows

Wang, Li; Currao, Gaetano M. D.; Feng, Han; Neely, Andrew J.; Young, John; Tian, Fang-Bao

doi:10.1016/j.jcp.2017.06.008

Cited by 93 publications

(66 citation statements)

References 70 publications

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“…Without loss of generality, a flexible plate immersed in the two-dimensional fluid is used as an example to introduce the structure dynamics. The plate is assumed to be elastic and its dynamics is governed by the following nonlinear equation [22,42,30]…”

Section: Methodsmentioning

confidence: 99%

“…Validations of the present solver for fluid-structure interactions including flow over a stationary cylinder, structure dynamics, deformation of a flexible panel induced by shock waves in a shock tube, an inclined flexible plate in a hypersonic flow, and shock-induced collapse of a cylindrical helium cavity in the air have been conducted in our previous work [30]. Here, we focus on validations of acoustics modelling including acoustic waves scattered from a stationary cylinder in a quiescent flow, sound generation by a stationary and a rotating cylinder in a uniform flow, sound generation by an insect in hovering flight, deformation of a red blood cell induced by acoustic waves and acoustic waves scattered by a stationary sphere.…”

Section: Validationsmentioning

confidence: 99%

“…In this paper, an immersed boundary method introduced in our previous work [30] is extended to fluid-structureacoustics interactions involving large deformations and complex geometries. The organization of the paper is as follows.…”

mentioning

confidence: 99%

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An immersed boundary method for fluid–structure–acoustics interactions involving large deformations and complex geometries

Wang

Tian

Lai

2020

Journal of Fluids and Structures

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This paper presents an immersed boundary (IB) method for fluid-structure-acoustics interactions involving large deformations and complex geometries. In this method, the fluid dynamics is solved by a finite difference method where the temporal, viscous and convective terms are respectively discretized by the third-order Runge-Kutta scheme, the fourth-order central difference scheme and a fifth-order W/TENO (Weighted/Targeted Essentially Non-oscillation) scheme. Without loss of generality, a nonlinear flexible plate is considered here, and is solved by a finite element method based on the absolute nodal coordinate formulation. The no-slip boundary condition at the fluid-structure interface is achieved by using a diffusion-interface penalty IB method. With the above proposed method, the aeroacoustics field generated by the moving boundaries and the associated flows are inherently solved. In order to validate and verify the current method, several benchmark cases are conducted: acoustic waves scattered from a stationary cylinder in a quiescent flow, sound generation by a stationary and a rotating cylinder in a uniform flow, sound generation by an insect in hovering flight, deformation of a red blood cell induced by acoustic waves and acoustic waves scattered by a stationary sphere. The comparison of the sound scattered by a cylinder shows that the present IB-WENO scheme, a simple approach, has an excellent performance which is even better than the implicit IB-lattice Boltzmann method. For the sound scattered by a sphere, the IB-TENO scheme has a lower dissipation compared with the IB-WENO scheme. Applications of this technique to model fluid-structure-acoustics interactions of flapping foils mimicking an insect wing section during forward flight and flapping foil energy harvester are also presented, considering the effects of foil shape and flexibility. The difference of the force and sound generations of the foils are compared. For wing during forward flight, the results show that flexible wing generates larger thrust with higher acoustic pressure. In terms of the energy harvester, the current results show that the geometrical shape has no significant effects on the force and sound generation, and the flexibility of the plate tends to deteriorate the power extraction efficiency. The flexible plate also induces larger fluctuating pressure at the frequency of 2f (f is the flapping frequency) and weaker sound at the frequencies of f and 3f . The successful validations and applications show that the IB method handled by delta function, whose accuracy is generally lower than that of the internal flow solver, is accurate for predicting the arXiv:1905.00182v1 [physics.flu-dyn] 1 May 2019An immersed boundary method for fluid-structure-acoustics interactions involving large deformations and complex geometries A PREPRINT dilatation and acoustics, and thus is an attractive alternative for modelling fluid-structure-acoustics interactions involving large deformations and complex geometries.Keywords Immersed boundary method · lar...

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Section: Methodsmentioning

confidence: 99%

Section: Validationsmentioning

confidence: 99%

See 1 more Smart Citation

An immersed boundary method for fluid–structure–acoustics interactions involving large deformations and complex geometries

Wang

Tian

Lai

2020

Journal of Fluids and Structures

Self Cite

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“…They used the arbitrary Lagrangian-Eulerian method to track interfaces and applied a two-pressure model for a single fluid. Wang et al 11 used the ghost fluid method to simulate compressible multiphase flows. The ghost fluid method can easily handle discontinuities in the dependent variables across material interfaces.…”

Section: Introductionmentioning

confidence: 99%

Simulation of compressibility of entrapped air in an incompressible free surface flow using a pressure‐based method for unified equations

Shin

2020

Numerical Methods in Fluids

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Summary A pressure‐based method is developed to solve the unified conservation laws for incompressible and compressible fluids. A polytropic law is used to model the compressibility of a gas and decouple the energy equation. The pressure field is calculated by solving a single‐pressure Poisson equation for the entire flow domain. The effects of the compressibility of the gas are reflected in the source term of the Poisson equation. The continuities of pressure and normal velocity across a material interface are achieved without any additional treatment along the interface. To validate the developed method, the oscillation of a water column in a closed tube due to the compression and expansion of air in the tube is simulated. The computed time history of the pressure at the end wall of the tube is in good agreement with other computational results. The free drop of a water column in a closed tank is simulated. The time history of the pressure at the center of the bottom of the tank shows good agreement with other reported results. The developed code is applied to simulate the air cushion effect of entrapped air in a dam break flow. The computed result is in good agreement with other experimental and computational results until the air is entrapped. As the entrapped air pocket undergoes rapid pulsation, the pressure field of water around the air pocket oscillates synchronously.

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“…Present 0.182 1.258 0.375 Patnana et al (Patnana et al, 2009) 0.180 1.180 -Tian et al 0.188 1.179 0.367 1.0 Present 0.164 1.415 0.349 Patnana et al (Patnana et al, 2009) 0.164 1.341 0.325 0.160 1.430 0.360 Wang et al (Wang et al, 2017) 0.161 1.450 0.310 1.4 Present 0.159 1.546 0.345 Patnana et al (Patnana et al, 2009) 0.150 1.497 -Tian et al 0.161 1.523 0.356 Table 2. Averaged Nusselt number (N u) for forced convection heat transfer from a stationary cylinder to power-law fluids at Pr = 1.0.…”

Section: Non-newtonian Power-law Fluid Flow and Heat Transfer Around mentioning

confidence: 99%

A hybrid immersed boundary–lattice Boltzmann and finite difference method for bushfire simulation

2019

El Sawah, S. (Ed.) MODSIM2019, 23rd International Congress on Modelling and Simulation.

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Catastrophic bushfire that destroys the assets and multiple facilities happened many times all over the world in the last two decades. The majority of the most damaging fires involve wind and terrain, in order to predict the spread process of bushfire in various geographical and weather conditions, a hybrid numerical method is proposed for bushfire simulation. The outputs from the numerical simulation of bushfire can be used to guide the extinguishment process and improve the security. The present numerical method includes three parts: fluid solver, heat transfer solver, and immersed boundary method for fluid-structure interaction and heat transfer. Specifically, the multi-relaxation time lattice Boltzmann method is adopted for the dynamics of non-Newtonian flow, with sub-grid viscosity model for large eddy simulation, a geometry-adaptive technique to enhance the computational efficiency and immersed boundary method to achieve no-slip boundary conditions. The heat transfer equation is spatially discretized by a second-order up-wind scheme for the convection term, a central difference scheme for the diffusion term, and a second-order difference scheme for the temporal term. The major contribution of this work is the integration of spatial adaptivity, thermal finite difference method, and fluid flow immersed boundary-lattice Boltzmann method. Several benchmark cases including powerlaw fluid flow and heat transfer around a stationary cylinder and flow around a stationary sphere are used to validate the present method and developed solver. The good agreements achieved by the present method with the published data indicate that the present extension is an efficient way for fluid-structure interaction and heat transfer in fluid flow. In addition, a demonstration considering bushfire-wind-terrain interaction is presented.

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An immersed boundary method for fluid–structure interaction with compressible multiphase flows

Cited by 93 publications

References 70 publications

An immersed boundary method for fluid–structure–acoustics interactions involving large deformations and complex geometries

An immersed boundary method for fluid–structure–acoustics interactions involving large deformations and complex geometries

Simulation of compressibility of entrapped air in an incompressible free surface flow using a pressure‐based method for unified equations

A hybrid immersed boundary–lattice Boltzmann and finite difference method for bushfire simulation

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