Harmonic oscillations of a thin lamina in a quiescent viscous fluid: A numerical investigation within the framework of the lattice Boltzmann method

A moving-grid approach for fluid–structure interaction problems with hybrid lattice Boltzmann method

“…In particular, the real part Re [Θ(β, ε)] is nearly constant with the variations of parameter ε, while the imaginary part −Im[Θ(β, ε)] increases whit ε for each fixed value of β, as suggested by the reference literature [23]. Our results are in line with those from the semianalytical expression and with results from [36]. We observe that the general dependence of viscous damping and added mass on the control parameters is properly estimated by the present MG-HLBM.…”

“…In Figure 3 we report the numerical findings for the real and the imaginary components of the hydrodynamic function, in comparison with the semyanalitical expression (equation 3), with results obtained by Falcucci et al [33] via standard LB approach, and with those from De Rosis and Lévêque [36] , which use a combined IB-LBM. The results are here reported as a function of the frequency parameter β.…”

“…For a further qualitative comparison between MG-HLBM and literature results, we report a complete overview of experimental and numerical findings in aggregated form in Figures 4 and 5 Black circles: present study; gray pentagons: [23]; magenta stars: [33]; red squared: [21]; blue asterisks: [22]; orange triangles: [36]; violet diamonds: [47]; green crosshairs: [24]; brown crosses: [48,49] 0.01 0.1 1 ε Figure 5: Aggregated results for the imaginary part −Im[Θ(β, ε)] of the complex hydrodynamic function (color online). Black circles: present study; gray pentagons: [23]; magenta stars: [33]; red squared: [21]; blue asterisks: [22]; orange triangles: [36]; violet diamonds: [47]; green crosshairs: [24]; brown crosses: [48,49].…”

“…In [35], the same authors presented a coupled lattice Boltzmann-finite element approach with immersed boundary method (IB-LBM). They later applied such a method to the case of a thin lamina in a quiescent viscous fluid [36]. Their results show a significant improvement, in terms of accuracy, in the prediction of the hydrodynamic load acting on the lamina, with respect to the previous lattice Boltzmann simulations.…”

Characterization of Nanoparticle Dispersion in Red Blood Cell Suspension by the Lattice Boltzmann-Immersed Boundary Method

“…In order to simulate this two-way coupling between the fluid environment and the immersed soft matter, a numerical fluid-structure interaction (FSI) code was developed utilizing an immersed boundary coupling scheme. Previous research has shown that the immersed boundary method (IBM) is an efficient approach to simulate soft matter and biological cells [ 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 ], flapping insect wings [ 31 , 32 , 33 ], harmonic oscillation of thin lamina in fluid [ 34 ] and other FSI problems, such as particle settling [ 35 ]. The advantage of this approach is two-fold.…”