Dynamic Moment Model for Numerical Simulation of a 6-DOF Plate Trajectory around an Aircraft

Abstract

Ice shedding represents a threat to aircraft safety because ice blocks can strike rear components or be ingested by engines. The accuracy of current numerical methods for predicting ice block paths in the design phase of an aircraft still needs improvement. For the verification and validation of new trajectory calculation methods, shed blocks can be modeled for simplification as sphere or six-degree-of-freedom (6-DOF) plates. The objective of this paper is to propose a mathematical model for the dynamic moments of the plates and use it to numerically simulate ice block paths. The results will be useful for verifying high-fidelity methods. Equations of motion in a Lagrangian frame are presented together with the correlations to be used for the aerodynamic coefficients of the ice blocks. The plate model involves the quaternions and a dynamic moment coefficient function of the angular velocity. After the model is validated with test cases obtained from the literature, the trajectories around the blended wing body are plotted. The sensitivity of the trajectories and footprints to the chosen dynamic moment model is highlighted.