Interpolation functions in control volume finite element method |
| |
Authors: | H Abbassi S Turki S Ben Nasrallah |
| |
Affiliation: | (1) Faculté des sciences, Département de Physique, B. P. 802, 3018 Sfax, Tunisia e-mail: hassen.abbassi@fss.rnu.tn, TN;(2) Ecole Nationale d'Ingénieurs, Département d'énergétique, Route de Kairouan, 5000 Monastir, Tunisia, TN |
| |
Abstract: | The main contribution of this paper is the study of interpolation functions in control volume finite element method used
in equal order and applied to an incompressible two-dimensional fluid flow. Especially, the exponential interpolation function
expressed in the elemental local coordinate system is compared to the classic linear interpolation function expressed in the
global coordinate system. A quantitative comparison is achieved by the application of these two schemes to four flows that
we know the analytical solutions. These flows are classified in two groups: flows with privileged direction and flows without.
The two interpolation functions are applied to a triangular element of the domain then; a direct comparison of the results
given by each interpolation function to the exact value is easily realized. The two functions are also compared when used
to solve the discretized equations over the entire domain. Stability of the numerical process and accuracy of solutions are
compared.
Received: 20 October 2002 / Accepted: 2 December 2002 |
| |
Keywords: | Control volume finite element method Incompressible fluid flow Interpolation function Flow-oriented interpolation Laminar flow |
本文献已被 SpringerLink 等数据库收录! |
|