Efficient coupling of direct forcing immersed boundary‐lattice Boltzmann method and finite element method to simulate fluid‐structure interactions

Qin, Jian-Hua; Andreopoulos, Yiannis; Jiang, Xin; Dong, Guodan; Chen, Zhihua

doi:10.1002/fld.4795

Cited by 12 publications

(3 citation statements)

References 42 publications

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“…in which r w is the distance between x and X * and is obtained by solving a quadratic equation obtained from the truncated Taylor expansion [23]. Then G(l,t) on X * can be calculated by using the direct forcing IB method [23,39,40].…”

Section: Interface Representationmentioning

confidence: 99%

Control of a sedimenting elliptical particle by electromagnetic forces

Qin,

Dong,

Zhang

2021

Preprint

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In this paper, the effectiveness of electromagnetic forces on controlling the motion of a sedimenting elliptical particle is investigated using the immersed interface-lattice Boltzmann method (II-LBM), in which a signed distance function is adopted to apply the jump conditions for the II-LBM and to add external electromagnetic forces. First, mechanisms of electromagnetic control on suppressing vorticity generation based on the vorticity equation and vortex shedding based on the streamwise momentum equation are discussed. Then, systematical investigations are performed to quantify and qualify the effects of the electromagnetic control by changing the electromagnetic strength, the initial orientation angle of the elliptical particle, and the density ratio of the particle to the fluid. To demonstrate the control effect of different cases, comparisons of vorticity fields, particle trajectories, orientation angles, and energy transfers of the particles are presented. Results show that the rotational motion of the particle can be well controlled by appropriate magnitudes of electromagnetic forces. In a relatively high solid to fluid density ratio case where vortex shedding appears, the sedimentation speed can increase nearly 40% and the motion of the particle turns into a steady descent motion once an appropriate magnitude of the electromagnetic force is applied. When the magnitude of the electromagnetic force is excessive, the particle will deviate from the center of the side walls. In addition, the controlling approach is shown to be robust for various initial orientation angles and solid to fluid density ratios.

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Section: Interface Representationmentioning

confidence: 99%

Control of a sedimenting elliptical particle by electromagnetic forces

Qin,

Dong,

Zhang

2021

Preprint

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“…The VLM represents the wind turbine blade as a series of bound vortex and trailing vortices, which can model the blade aerodynamics more accurately, but is more computationally expensive when compared with the BEM method. The CFD method, including large eddy simulation (LES) and Reynolds-averaged Navier Stokes (RANS) approaches, especially when coupled with the non-boundary conforming method [20][21][22][23], can simulate the blade aerodynamics in a more accurate and efficient way, however requires significantly high computational cost especially for the DNS and LES approaches, which are not yet feasible for blade design in engineering applications.…”

Section: Introductionmentioning

confidence: 99%

An Inverse Method for Wind Turbine Blade Design with Given Distributions of Load Coefficients

Dong

Qin

et al. 2022

Wind

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It is shown in the literature that wind turbine designs with different load distributions have different wake features. To systematically study how different load distributions affect turbine wakes, a method for designing variants of blades with different radial load distributions, but with approximately the same power (CP) or thrust coefficient (CT), is needed. In this work, an inverse design method based on the blade element momentum method and the multi-dimensional Newton’s method, with the normal and tangential force coefficients as the design objective and iterations for satisfying the CP or CT constraint, is developed. The proposed method is validated using the two-bladed small-scale NREL phase VI S809 wind turbine blade design and the three-bladed utility-scale NREL 5 MW wind turbine blade design. Four variants of the NREL 5 MW wind turbine, i.e., the Root-CP, Tip-CP, Root-CT, and Tip-CT designs, which represent the variants of the original design (NREL-Ori) with a higher load near the blade root and tip regions with approximately the same power coefficient (CP) or thrust coefficient (CT) as that of the NREL-Ori design, respectively, are then designed using the proposed method. At last, the flapwise blade bending moment and the power coefficients from different variants of the NREL 5 MW turbine are compared for different tip speed ratios, showing that the “Root” designs are featured by a wider chord near the root, lower blade bending moment, and higher power coefficients for tip-speed ratios greater than nine.

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“…Prior to this work, the immersed boundary-lattice Boltzmann method (IB-LBM) has been adopted to simulate fluid-structure interaction, including rigid body dynamics [17,18,19], elastic filaments [20], flexible sheets [21] and large deformation of flexible beams [18]. The IB-LBM maintains the simplicity of the IB method, and the lattice Boltzmann method (LBM) [22] uses the linear lattice Boltzmann equation (LBE) to provide a nearly-incompressible fluid model that is simpler to parallelize than the incompressible Navier-Stokes equations because it permits a fully explicit time stepping scheme that does not require the solution of any global systems of equations.…”

Section: Introductionmentioning

confidence: 99%

An immersed interface-lattice Boltzmann method for fluid-structure interaction

Qin,

Kolahdouz,

Griffith

2020

Preprint

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An immersed interface-lattice Boltzmann method (II-LBM) is developed for modelling fluid-structure systems. The key element of this approach is the determination of the jump conditions that are satisfied by the distribution functions within the framework of the lattice Boltzmann method when forces are imposed along a surface immersed in an incompressible fluid. In this initial II-LBM, the discontinuity related to the normal portion of the interfacial force is sharply resolved by imposing the relevant jump conditions using an approach that is analogous to imposing the corresponding pressure jump condition in the incompressible Navier-Stokes equations. We show that the jump conditions for the distribution functions are the same in both single-relaxation-time and multi-relaxation-time LBM formulations. Tangential forces are treated using the immersed boundary-lattice Boltzmann method (IB-LBM). The performance of the II-LBM method is compared to both the direct forcing IB-LBM for rigid-body fluid-structure interaction, and the classical IB-LBM for elastic interfaces. Higher order accuracy is observed with the II-LBM as compared to the IB-LBM for selected benchmark problems. Because the jump conditions of the distribution function also satisfy the continuity of the velocity field across the interface, the error in the velocity field is much smaller for the II-LBM than the IB-LBM. The II-LBM is also demonstrated to provide superior volume conservation when simulating flexible boundaries.

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Efficient coupling of direct forcing immersed boundary‐lattice Boltzmann method and finite element method to simulate fluid‐structure interactions

Cited by 12 publications

References 42 publications

Control of a sedimenting elliptical particle by electromagnetic forces

Control of a sedimenting elliptical particle by electromagnetic forces

An Inverse Method for Wind Turbine Blade Design with Given Distributions of Load Coefficients

An immersed interface-lattice Boltzmann method for fluid-structure interaction

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