Flapping insects are remarkably agile fliers, adapted to a highly turbulent environment. We present a series of high resolution numerical simulations of a bumblebee interacting with turbulent inflow. We consider both tethered and free flight, the latter with all six degrees of freedom coupled to the Navier-Stokes equations. To this end we vary the characteristics of the turbulent inflow, either changing the turbulence intensity or the spectral distribution of turbulent kinetic energy. Active control is excluded in order to quantify the passive response real animals exhibit during their reaction time delay, before the wing beat can be adapted. Modifying the turbulence intensity shows no significant impact on the cycle-averaged aerodynamical forces, moments and power, compared to laminar inflow conditions. The fluctuations of aerodynamic observables, however, significantly grow with increasing turbulence intensity. Changing the integral scale of turbulent perturbations, while keeping the turbulence intensity fixed, shows that the fluctuation level of forces and moments is significantly reduced if the integral scale is smaller than the wing length. Our study shows that the scale-dependent energy distribution in the surrounding turbulent flow is a relevant factor conditioning how flying insects control their body orientation. * thomas.engels@ens.fr arXiv:1901.10350v1 [physics.flu-dyn] 29 Jan 2019Insect are fast and agile fliers, which stabilize their body posture during flight under a vast variety of environmental conditions [5,37]. While flight in static air requires little steering and corrective changes in aerodynamic force production, flight in turbulent air is challenged by unexpected changes in flow conditions at the body and wings. Little is known about the impact of turbulence on the aerodynamic performance and energetic cost of flight in insects. In this work, we study how different kinds of perturbations affect flapping fliers in free flight.In contrast to laminar flows, turbulent flows are dominated by nonlinear interactions and, as a result, excite fluctuations on a wide range of scales. After averaging the flow in either ensemble, time or space, we identify different length scales characteristic for the turbulent regime. From large to small, these classical scales are: (i) the integral scale Λ where, on average, the velocity the strongest, and where therefore energy transport is most active, (ii) the Taylor microscale λ where, on average, the velocity gradients are most intense, (iii) the Kolomogorov scale η below which, on average, the flow fluctuations are damped by the fluid viscosity [47].In nature, unsteady turbulent flow conditions significantly vary depending on the terrain and weather conditions. The "flight boundary layer", characterized by conditions favorable for insect flight, can span for up to 1500 meters above the ground level in warm weather [6]. Activity such as long-distance migration is typical of high altitudes while foraging, for example, mainly takes place in the vegetation layer up...