Application of High-dimensional Cubic Spline Interpolation Method in the Calculation of the Aerodynamic Parameters
LI Jing,WANG Yong-ji,LIU Lei,CHANG Song-tao(Department of Control Science and Engineering,Huazhong University of Science and Technology, Key Laboratory of Image Processing and Intelligent Control,Wuhan 430074,China)
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
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