Abstract
The conventional shape function for the finite-element method (FEM) is a linear one, which is inadequate for analyzing numerically complex flows for high Reynolds numbers. In the present study, we suppose CIP-FEM scheme using 3rd order shape function which requires continuity of the value of the function and its first space derivative in whole space and is formulated a finite element method for the cubic interpolated pseudo-particle (CIP) method which was developed in the field of finite difference method. The CIP method is used to analyze Advection equations with high accuracy. We verify the effectiveness of this new scheme by 1-D and 2D-Advection Diffusion equations which have the exact solution. The numerical results of these problems are good agreement with each of exact one we could confirm the effectiveness of CIP-FEM scheme.
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