Application of Natural Neighbor Interpolation Method to Development of Materials State Equation Database

In view of the great amount of data,and the highly dispersed and irregular distribution characteristics of the materials state equation database and the special requirements for an interpolation method,a development scheme based on the natural neighbor interpolation method is proposed.Firstly,the basic principles of the natural neighbor interpolation method based on Delaunay triangular mesh and Voronoi diagram are discussed.Secondly,three interpolation functions,the linear interpolation,the Sibson interpolation and the non-Sibsonian interpolation are analyzed together with their function forms and interpolation formats in detail.Thirdly,the materials state equation database is developed through interpolation programs by this method and the interpolation results are compared with the database itself.Lastly,various characteristics of three interpolation functions,the computational efficiency and the time cost are discussed.Analysis and comparison show that the interpolation results are reasonable and the interpolation computation is very efficient.So this method can well be applied to the development of the materials state equation database.