Application of Discrete Vortex Method with Compressibility Correction in Numerical Simulation of Ice Accretion

Abstract

Discrete vortex method(DVM) is a grid-free vortex motion algorithm, which is suitable for solving unsteady problems caused by producing easily separate flow.Applying the method to the flow solution in the ice accretion process can effectively simulate the separate flow, while avoiding the influence of the sharp ice-shaped corner on the grid quality.However, the DVM is based on the incompressible N-S equation, it cannot be applied to predict the ice accretion process in a compressible flow.In this paper, Prandtl-Glauert compressibility correction is added on the basis of the discrete vortex method.And the numerical simulation of compressible flow based on the discrete vortex method is carried out and applied to the prediction of airfoil ice accretion.The simulation results of field distribution, ice shape and icing model calculation process are compared and analyzed.The calculation results show that the discrete vortex method with compressibility correction can simulate the compressible flow better.Compared with the experimental value, the icing numerical simulation results obtained based on this method are in good agreement.It provides a certain reference for the application of icing numerical simulation in engineering.

Keywords

• discrete vortex method
• compressibility correction
• icing numerical simulation
• airfoil
• compressible flow