The calculation of some steady laminar flows using various discretizatiton finite difference schemes
Abstract
This paper presents numerical solutions for steady, two-dimensional, laminar flow of an incompressible fluid through three types of plane channels: channel with a sudden expansion, a channel with a fence and a channel with an obstacle. The main objective of this study is to compare the performance of different numerical schemes employed for the discretization of the convective terms. The solution obtained with first-order upwind, hybrid, power law, skew upwind and quadratic upstream finite difference schemes were compared with experimental data of the velocity field. The quadratic upstream proved to be the most advantageous regarding accuracy versus computing time. However for one of the cases investigated, this scheme generated 'wiggles' in the solution field.
- Publication:
-
IN: Numerical methods in laminar and turbulent flow; Proceedings of the Fourth International Conference
- Pub Date:
- 1985
- Bibcode:
- 1985nmlt.proc..551D
- Keywords:
-
- Computational Fluid Dynamics;
- Discrete Functions;
- Finite Difference Theory;
- Laminar Flow;
- Steady Flow;
- Two Dimensional Flow;
- Accuracy;
- Channel Flow;
- Convective Flow;
- Flow Geometry;
- Incompressible Flow;
- Run Time (Computers);
- Velocity Distribution;
- Fluid Mechanics and Heat Transfer