Fluid–structure interaction of multi-body systems: Methodology and applications

Arranz, Gonzalo; Martínez-Muriel, C.; Flores, Oscar; García-Villalba, Manuel

doi:10.1016/j.jfluidstructs.2022.103519

Cited by 8 publications

(6 citation statements)

References 56 publications

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“…The weak coupling between the equations is also known to lead to stability problems for density ratios below 1.2 (Uhlmann 2005). However, in the range of parameters considered in this study, no stability issues have been observed (Arranz et al 2022b)…”

Section: Flow Solvermentioning

confidence: 75%

“…For the sake of brevity, only a summary of the most representative aspects of the method is presented here; further details can be found in Arranz et al. (2022 b ). The governing equations for the multi-body system can be cast in the form where is the vector of generalized coordinates, is the generalized inertia matrix, is the generalized bias force vector – which includes Coriolis and centrifugal accelerations , where is the torsional spring constant – and is the vector of hydrodynamic forces acting on the wing.…”

Section: Methodsmentioning

confidence: 99%

“…, N B − 1 (see figure 1b). For the sake of brevity, only a summary of the most representative aspects of the method is presented here; further details can be found in Arranz et al (2022b). The governing equations for the multi-body system can be cast in the form…”

Section: Structural Modelmentioning

confidence: 99%

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Fluid–structure resonance in spanwise-flexible flapping wings

et al. 2023

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We report direct numerical simulations of the flow around a spanwise-flexible wing in forward flight. The simulations were performed at $Re=1000$ for wings of aspect ratio 2 and 4 undergoing a heaving and pitching motion at Strouhal number $St_c\approx 0.5$ . We have varied the effective stiffness of the wing $\varPi _1$ while keeping the effective inertia constant, $\varPi _0=0.1$ . It has been found that there is an optimal aerodynamic performance of the wing linked to a damped resonance phenomenon, that occurs when the imposed frequency of oscillation approaches the first natural frequency of the structure in the fluid, $\omega _{n,f}/\omega \approx 1$ . In that situation, the time-averaged thrust is maximum, increasing by factor 2 with respect to the rigid case with an increase in propulsive efficiency of approximately 15 %. This enhanced aerodynamic performance results from the combination of larger effective angles of attack of the outboard wing sections and a delayed development of the leading edge vortex. With increasing flexibility beyond the resonant frequency, the aerodynamic performance drops significantly, in terms of both thrust production and propulsive efficiency. The cause of this drop lies in the increasing phase lag between the deflection of the wing and the heaving/pitching motion, which results in weaker leading edge vortices, negative effective angles of attack in the outboard sections of the wing, and drag generation in the first half of the stroke. Our results also show that flexible wings with the same $\omega _{n,f}/\omega$ but different aspect ratio have the same aerodynamic performance, emphasizing the importance of the structural properties of the wing for its aerodynamic performance.

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Section: Flow Solvermentioning

confidence: 75%

Section: Methodsmentioning

confidence: 99%

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Fluid–structure resonance in spanwise-flexible flapping wings

et al. 2023

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“…The condition provided by Eq. (10) implies that the variations 𝛿𝑥 and 𝛿𝑣 in Eq. ( 14) are not independent.…”

Section: Introduction Of the New Numerical Integration Schemementioning

confidence: 99%

“…More specifically, these techniques have been employed for coupling multibody and finite element solvers [3][4][5][6], multibody and hydraulic systems [7] as well as multibody and discrete elements codes [8]. In addition, many engineering applications impose the use of coupled computational fluid dynamics and multibody dynamics [9,10] or FE solvers [11,12]. The main idea of these methods lies on the decomposition of the global model into two (or more) submodels, thus allowing the different solvers to proceed using their optimum settings.…”

Section: Introductionmentioning

confidence: 99%

A general co-simulation framework for the generation of coupling condition schemes based on a novel weak formulation at the interface

Koutras

Paraskevopoulos

Natsiavas

2022

Preprint

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Co-simulation techniques are widely used to enable global simulation of a coupled mechanical system via composition of simulators. Within this work, the focus is initially placed on a new scheme for the numerical integration of each subsystem since the corresponding accuracy affects directly the correct solution of a decomposed model. Following that, the new co-simulation methods are introduced. Specifically, a novel coupling strategy for satisfying the coupling conditions in their integral (weak) form, in the time domain, is proposed. This formulation constitutes a general framework for the generation of coupling condition schemes with varying accuracy and stability properties, based on the choice of basis and order of polynomials for the involved quantities, thus creating a whole new perspective on the field of co-simulation. In addition, the point-collocation method, which is mainly employed in the literature, is easily recognized as a degenerate case of this general weak formulation. The essential ideas of the new techniques are initially introduced by utilizing a simple linear model of two masses, constrained with a fixed joint. Subsequently, nonlinear models of a single and a double planar pendulum are investigated for the new numerical integration and co-simulation techniques, respectively. The models examined are relatively simple, but the developed methods have general validity and can be applied for coupling arbitrary multibody or structural solvers.

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