Eur. Phys. J. Appl. Phys. 38, 97-105 (2007)
https://doi.org/10.1051/epjap:2007057

Fine grid numerical solutions of triangular cavity flow

¹ Gebze Institute of Technology, Energy Systems Engineering Department, Gebze, Kocaeli 41400, Turkey
² Bahcesehir University, Computer Engineering Department, Besiktas, Istanbul 34349, Turkey

Corresponding author: ercanerturk@gyte.edu.tr

Received: 13 October 2006
Revised: 30 November 2006
Accepted: 2 February 2007
Published online: 21 March 2007

Abstract

Numerical solutions of 2-D steady incompressible flow inside a triangular cavity are presented. For the purpose of comparing our results with several different triangular cavity studies with different triangle geometries, a general triangle mapped onto a computational domain is considered. The Navier-Stokes equations in general curvilinear coordinates in streamfunction and vorticity formulation are numerically solved. Using a very fine grid mesh, the triangular cavity flow is solved for high Reynolds numbers. The results are compared with the numerical solutions found in the literature and also with analytical solutions as well. Detailed results are presented.