Title: Mathematical model for ice wall interactions within a level set method

Authors: François Morency; Héloïse Beaugendre

Addresses: École de Technologie Supérieure, 1100 rue Notre-Dame Ouest, Montréal, QC, H3C 1K3, Canada ' Université de Bordeaux, IMB, UMR 5251, F-33400 Talence, France; CNRS, IMB, UMR 5251, F-33400 Talence, France; Bordeaux INP, IMB, UMR 5251, F-33400 Talence, France; INRIA, F-33400 Talence, France

Abstract: De-icing systems work periodically to remove ice formed on aircraft protected surfaces. They achieve this result by reducing adhesive shear strength between ice and surfaces. In the present work, an immersed boundary method will predict ice-shedding trajectories and collisions. At the starting-point of shedding trajectory calculations, when the ice-shed particle is still close to the wing surface, there is a high probability of collision with the surface. A linear spring collision model is presented assuming the interacting bodies are connected tangentially and normally by linear springs. The verification of the model is made by comparison with literature results and study of ice trajectories around a cylinder and an aerofoil.

Keywords: ice wall interactions; level set methods; mathematical modelling; immersed boundary methods; ice shedding trajectories; ice shedding collisions; linear spring models; cylinder; aerofoil; de-icing systems; aircraft icing; adhesive shear strength; wing surface; linear springs; ice trajectories.

DOI: 10.1504/IJESMS.2016.075552

International Journal of Engineering Systems Modelling and Simulation, 2016 Vol.8 No.2, pp.125 - 135

Received: 25 Jun 2014
Accepted: 01 May 2015

Published online: 30 Dec 2015 *

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