Abstract
The conventional shape function for the finite-element method (FEM) is a linear one, which is inadequate for analyzing numerically complex flows at high Reynolds numbers. In the present study, we aim to formulate 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 modify this CIP method and discretize it with FEM. We propose third order shape functions which require continuity of the value of the function and its first space derivative in whole space. The shape function is written as a product of the conventional linear shape function and new second order shape function. Using this new shape function, we analyze some rotating problems in 3D which are a good example of the use of advection equation.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
