| Author(s) | M. E. E. Abashar |
| Affiliation | Chemical Engineering Department, College of Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi Arabia E-mail address: mabashar@ksu.edu.sa |
| Title | Application of the Green Element Method to Chemical Engineering Problems |
| Source | Journal of King Saud University. Engineering Sciences. Volume 17, No 1. (2005/1425) |
| Abstract | The novel Green element method (GEM), which applies the singular boundary integral theory (a Fredholm integral equation of the second kind) on each element at a time, is herein implemented on chemical engineering problems. The method overcomes some of the limitations of classical boundary element approach and uses the finite element methodology to achieve optimum inter nodal connectivity. The global coefficient matrix is banded and numerical difficulties from a densely populated matrix are eliminated. Two numerical examples are used to demonstrate the capabilities of the method. The results are compared with orthogonal collocation method, finite element method and experimental data. It has been shown that the Green element method is very reliable and efficient. Keywords: Finite element method, green element method, orthogonal collocation method, diffusion, reaction |
