Parametric Studies of Flat Plate Trajectories Using VIC and Penalization

François Morency (1) , Héloïse Beaugendre (2, 3, 4)

1 CFD Lab [Montréal]
2 IMB - Institut de Mathématiques de Bordeaux
3 Bordeaux INP - Institut Polytechnique de Bordeaux
4 CARDAMOM - Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts

Flying debris is generated in several situations: when a roof is exposed to a storm, when ice accretes on rotating wind turbines, or during inflight aircraft deicing. Four dimensionless parameters play a role in the motion of flying debris. The goal of the present paper is to investigate the relative importance of four dimensionless parameters: the Reynolds number, the Froude number, the Tachikawa number, and the mass moment of inertia parameters. Flying debris trajectories are computed with a fluid-solid interaction model formulated for an incompressible 2D laminar flow. The rigid moving solid effects are modelled in the Navier-Stokes equations using penalization. A VIC scheme is used to solve the flow equations. The aerodynamic forces and moments are used to compute the acceleration and the velocity of the solid. A database of 64 trajectories is built using a two-level full factorial design for the four factors. The dispersion of the plate position at a given horizontal position decreases with the Froude number. Moreover, the Tachikawa number has a significant effect on the median plate position.

Domaines: Modélisation et simulation; Logiciel mathématique [cs.MS]; Analyse numérique [math.NA]; Mécanique des fluides [physics.class-ph]; Génie mécanique [physics.class-ph]

François Morency, Héloïse Beaugendre. Parametric Studies of Flat Plate Trajectories Using VIC and Penalization. Modelling and Simulation in Engineering, 2018, 2018, pp.1 - 14. ⟨10.1155/2018/9638430⟩. ⟨hal-01699817⟩