飞行载荷外部气动力的二次规划等效映射方法

In conventional aerodynamic force mapping methods, conservative interpolation method can ensure the equivalence of the integral load, but the calculation is complex. While the non-conservative interpolation method is simple to implement with consistency of the distribution of aerodynamic pressure, but no conservation of the overall load. In this paper, equality constraints are used to ensure that the integral loads are equal, with the least squares based on point interpolation method using radical basis function (RPIM) to maintain the distribution characteristics of the original aerodynamic pressure, thus transforming the aerodynamic force mapping problem into a quadratic programming problem with equality constraints. This operation builds up a new conservative method on an original non-conservative method, which has preserved the advantages of each method. Mapping the aerodynamic force from a three-dimensional mesh to low-order panel mesh of a high-aspect-ratio wing is taken as an example. The results show that the method proposed in this paper can not only strictly guarantee the equality of integral loads, but also inherit the high efficiency of non-conservative interpolation method, despite the loss of some accuracy in the distribution of aerodynamic force. Besides, it is suitable for fast equivalent mapping of various complex external aerodynamic data, and similar data mapping problem in other disciplines.