Computation of Ice Shedding Trajectories Using Cartesian Grids, Penalization, and Level Sets

Héloïse Beaugendre (1, 2, 3) , François Morency (4) , Fédérico Gallizio (5) , Sophie Laurens (2, 6)

1 IMB - Institut de Mathématiques de Bordeaux
2 MC2 - Modélisation, contrôle et calcul
3 BACCHUS - Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems
4 ETS - Ecole de Technologie Supérieure [Montréal]
5 DAUIN - Dipartimento di Automatica e Informatica [Torino]
6 IMT - Institut de Mathématiques de Toulouse UMR5219

We propose to model ice shedding trajectories by an innovative paradigm that is based on cartesian grids, penalization and level sets. The use of cartesian grids bypasses the meshing issue, and penalization is an efficient alternative to explicitly impose boundary conditions so that the body-fitted meshes can be avoided, making multifluid/multiphysics flows easy to set up and simulate. Level sets describe the geometry in a nonparametric way so that geometrical and topological changes due to physics and in particular shed ice pieces are straight forward to follow. The model results are verified against the case of a free falling sphere. The capabilities of the proposed model are demonstrated on ice trajectories calculations for flow around iced cylinder and airfoil.

Mots clés: ice-shedding; penalization; Vortex In Cell Scheme; Level-Sets

Domaines: Modélisation et simulation

Héloïse Beaugendre, François Morency, Fédérico Gallizio, Sophie Laurens. Computation of Ice Shedding Trajectories Using Cartesian Grids, Penalization, and Level Sets. Modelling and Simulation in Engineering, 2011, 2011, pp.1-15. ⟨10.1155/2011/274947⟩. ⟨hal-00653224⟩