A comparative study of lattice Boltzmann methods using bounce‐back schemes and immersed boundary ones for flow acoustic problems

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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“…1) can be diminished when the mesh size is D/100. [54]. The mesh spacing for the fluid is D/40, same as that used in Ref.…”

Section: Acoustic Waves Scattered By a Stationary Cylindermentioning

confidence: 99%

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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“…As will become clearer later with the present work, although in certain cases the hydrodynamic force/torque evaluation does possess a second-order accuracy, such observation may not be generalized for arbitrary flows. Chen et al [19] compared a few IBB schemes and IBM-LBM algorithms in simulating the acoustic waves scattering on static and moving cylinder surfaces. They reported that while IBB schemes outperformed in accuracy in static cylinder cases, IBM-LBM could be a better choice in cases with moving objects in terms of suppressing the high-frequent fluctuations (i.e., the grid jitter problem) associated with objects crossing the grid mesh lines.…”

Section: Introductionmentioning

confidence: 99%

A comparative study of immersed boundary method and interpolated bounce-back scheme for no-slip boundary treatment in the lattice Boltzmann method: Part I, laminar flows

2019

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The interpolated bounce-back scheme and the immersed boundary method are the two most popular algorithms in treating a no-slip boundary on curved surfaces in the lattice Boltzmann method. While those algorithms are frequently implemented in the numerical simulations involving complex geometries, such as particle-laden flows, their performances are seldom compared systematically over the same local quantities within the same context. In this paper, we present a systematic comparative investigation on some frequently used and most state-of-the-art interpolated bounce-back schemes and immersed boundary methods, based on both theoretical analyses and numerical simulations of four selected 2D and 3D laminar flow problems. Our analyses show that immersed boundary methods (IBM) typically yield a first-order accuracy when the regularized delta-function is employed to interpolate velocity from the Eulerian to Lagrangian mesh, and the resulting boundary force back to the Eulerian mesh. This first order in accuracy for IBM is observed for both the local velocity and hydrodynamic force/torque, apparently different from the second-order accuracy sometime claimed in the literature. An- * other serious problem of immersed boundary methods is that the local stress within the diffused fluid-solid interface tends to be significantly underestimated. On the other hand, the interpolated bounce-back generally possesses a second-order accuracy for velocity, hydrodynamic force/torque, and local stress field. The main disadvantage of the interpolated bounce-back schemes is its higher level of fluctuations in the calculated hydrodynamic force/torque when a solid object moves across the grid lines. General guidelines are also provided for the necessary grid resolutions in the two approaches in order to accurately simulate flows over a solid particle.

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“…One approach to overcome this problem is applying an inter-and extrapolation of the velocity at the boundary to determine a better approximation for the midpoint velocity [31]. Another approach to avoid the geometric discontinuity of the zigzag model is interpolation of distribution functions [30,38] at a node captured on the exact position of the particle boundary (Fig. 2b).…”

Section: Treatments Of a Moving Solid Boundarymentioning

confidence: 99%

Kinematics and dynamics of suspended gasifying particle

2016

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The effect of gasification on the dynamics and kinematics of immersed spherical and non-spherical solid particles have been investigated using the three-dimensional lattice Boltzmann method. The gasification was performed by applying mass injection on particle surface for three cases: flow passing by a fixed sphere, rotating ellipsoid in simple shear flow, and a settling single sphere in a rectangular domain. In addition, we have compared the accuracy of employing two different fluid-solid interaction methods for the particle boundary. The validity of the gasification model was studied by comparing computed the mass flux from the simulation and the calculated value on the surface of the particle. The result was used to select a suitable boundary method in the simulations combined with gasification. Moreover, the reduction effect of the ejected mass flux on the drag coefficient of the fixed sphere have been validated against previous studies. In the case of rotating ellipsoid in simple shear flow with mass injection, a decrease on the rate of rotation was observed. The terminal (maximum) velocity of the settling sphere was increased by increasing the ratio of radial flux from the particle boundary. IntroductionSolid particle gasification is part of many industrial processes such as combustion of carbonaceous solid fuels in a reactor or gasification of gas hydrate particles in an air lift pump [1,2]. Optimizing these processes to decrease the cost and environmental impacts requires having a profound insight about gasifying suspension behavior in flow.The size and shape of particles are within physical properties of the solid fuels, which strongly affect observed phenomena in combustors and gasifiers. For instance, the rate of gas-solid reactions depends on both available surface area and particle size [3]. Therefore, the study of each individual gasifying particle with different size and shape helps to understand certain properties of the particle flow in large scale.The motion of spherical and non-spherical particles has already been studied in different flow cases such as the settling of single spheres under gravity [4][5][6][7][8] and the rotation of an ellipsoid in simple shear flow [9][10][11][12][13][14]. The influence of mass injection from the surface of the solid particle has also been studied by previous authors [15][16][17] by implementing outflow on the boundary of a fixed sphere. In later works it is shown that there is a reduction in the total drag coefficient by injecting radial flux from the surface of the sphere which is correlate with mass injection ratios. However, to the best of our knowledge, the effect of mass injection on non-spherical or suspended solid particle behavior has so far remained untouched.There are several methods that have been applied to simulate suspension particles, e.g., the finite element method [18,19] or the immersed boundary method, in original form or in combination with other methods Z. Moradi Nour (B) · G. Amberg · M. Do Quang

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A comparative study of lattice Boltzmann methods using bounce‐back schemes and immersed boundary ones for flow acoustic problems

Cited by 50 publications

References 48 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

A comparative study of immersed boundary method and interpolated bounce-back scheme for no-slip boundary treatment in the lattice Boltzmann method: Part I, laminar flows

Kinematics and dynamics of suspended gasifying particle

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