Application of High-dimensional Cubic Spline Interpolation Method in the Calculation of the Aerodynamic Parameters

One-dimensional cubic spline interpolation algorithm with second-order continuous smooth degree is extended to a high-dimensional interpolation which can be applied to the calculation of aerodynamic parameters determined by a number of independent variables.Compared to the high-dimensional linear interpolation algorithm,it improves the interpolation accuracy,while avoiding the distortion cause by the high-Lagrange interpolation.Improved boundary condition,which can improve the interpolation accuracy and simplify engineering applications,is proposed.The obvious improvement of accuracy is demonstrated by the result of numerical experiments