Multi-Step Level-Set Ice Accretion Simulation with the NSMB solver

Abstract

Icing effects can reduce the flight safety under certain weather conditions. According to the US National Transport Safety Board, icing is one of the major causes of flight accidents. Supercooled water droplets present in clouds impinge on the surface of aircraft structures. They either solidify totally on impact or partially then creating a thin liquid film runback depending on the flow temperature and speed hence, creating dry rime ice or glaze wet ice respectively. Designing an adequate de-icing mechanisms requires full knowledge of the icing phenomenon itself. Icing experimental study cannot exceed the scope of a handful of simple cases due to complexity and cost. Consequently the use of computational fluid dynamics is justified. The icing process is assumed broken up into four steps: 1) single phase air flows around the wing 2) transporting water suspended droplets; droplets impinge into the surface 3) generating a liquid or dry film exchanging energy with the surface 4) accreated to shape the final form during a certain exposure time. This process is usually assumed to occur on a single step considering that the time scale of the icing process is very long compared with that of the air flow. Current Icing simulation codes used by industries are based on over-simplified models. 1) A 2D inviscid panel methods with an empirical boundary layer method is used for the air flow. Which is usually followed by 2) a Lagrangian transport of droplets. And finally 3,4) an iterative thermodynamic model for the liquid film to compute the ice thickness. To generate the final geometry however, a Lagrangian node displacement is needed. A multi-step icing approach repeats this process for portions of the required exposure time but still with decoupled time scales. Maintaining a good grid quality requires a tedious amount of work, since strange irregularities in iced shapes are difficult to be fully accounted for. The Level-Set method introduced by Osher and Fedkiw could alleviate such a task. A passive scalar function is introduced and is put equal to zero at the interface, positively defined outside and negatively inside; the zero level represents the time evolution of the air/ice interface. To complete the model, a PDE type thermodynamic model is used for the film, coupled with an external flow solver. In the present study a new method of icing simulation is developed. To get the most out of such model, it is developed in the three-dimensional structured multiblock Navier-Stokes solver NSMB. For a multi-step icing procedure, the geometry is defined by a passive scalar called the level-set. This level-set function is set equal to the distance, negative on the inside and positive outside. A penalized Navier-Stokes equation is solved on the external flow using a simple non-body fitted mesh, wherein the solid is represented by the negative level-set valued cells. The droplets are transported using an Eulerian approach using a TVD and a local time stepping schemes. The impingement rate or what's called the collection efficiency is then fed to a Shallow-Water Icing Model that evaluates the ice accretion, its height and velocity. The convective heat transfer coefficient is obtained from the Navier-Stokes solver. Following that the Level-set function is advected with the icing velocity to predict the new deformed geometry. The process is then repeated for as many portions of the exposure time as needed

    Similar works