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《Acta Scicentiarum Naturalum Universitis Pekinesis》 2001-05
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A Voronoi Cells Based C~∞ Interpolation Basis Function and Its Application in CFD

ZHU Huaiqiu\ WU Jianghang (State Key Laboratory for Turbulence Research,Department of Mechanics and Engineering Science,Peking University,Beijing,100871)  
According to the ideal of Natural Neighbor Interpolation,based on the geometric characteristics of Voronoi cells,this paper describes a C ∞ interpolation basis function,which is smooth and continuously differentiable everywhere except at its defining node.The parametric expression of first derivatives of the interpolation basis function is also given.The new theory for function and derivative interpolation has application in CFD to develop a novel Finite Element Method (FEM) which is called Natural Element Method (NEM).In addition,it demonstrates that the C ∞ interpolation basis function can be the promising role in a range of visualization problems of CFD.
【Fund】: 国家自然科学基金 (19772 0 0 2 );; 国家自然科学重大项目基金 (5 9895 410 );; 高等学校博士点专项科研基金 (970 0 0 10 4);; 国家科委攀登预研基金资助项目
【CateGory Index】: O351.2;O241.3
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1 Zhu Huaiqiu,Wu Jianghang (State Key Laboratory for Turbulence Research,Peking University,Beijing 100871);A C~∞ Basis Function-based NNI Method and Its Application to Visualization in Scientific Computing[J];Computer Engineering and Applications;2001-01
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