关键词: 飞机结冰, 水滴收集率, 拉格朗日方法, 方形邻域, 梯度下降法

Abstract: The collection efficiency transfer from impinging point to grid nodes is indispensable when determining droplet impingement property by the traditional Lagrange method. But, the general interpolation technique may bring errors and make the results disagree with the reality in the three-dimensional case. To voids the interpolation, this paper proposed a new strategy that gets the trajectory of impinging near the grid's node by the gradient descent method and calculates the collection efficiency on the cell center. The improved algorithm uses a deviation function iteration by gradients descent method to reducing the distance between an impinging point and the grid’s node. An neighbor search algorithm is then used to obtain all of the trajectories that impacting on the grid’s node on the windward region. And the collection efficiency on the center of the surface control element could be acquired by tube defined model. In this paper, some representative cases valuated the improved method. The testing report showed that the calculation results using the proposed method are consistent with the experimental data and better than the interpolation results by the traditional algorithm.

Key words: aircraft icing, collection efficiency, Lagrangian method, directional neighborhood, gradient descent algorithm