Abstract
The steady driven flow of an incompressible viscous fluid in a two-dimensional square cavity is numerically calculated using the finite difference method proposed by B. P. Leonard. The governing Navier-Stokes equations in the streamfunction-vorticity form are discretised on the nonuniform staggered mesh by the third order sheme, and the resulting equations are iteratively solved. The calculation is performed for the cavity flow at Reynolds numbers up to 5×104. The results obtained are confirmed to be consistent with those which have been found using known second order methods. When the Reynolds number increases above 104, the corner separation flow regions continue to gradually extend, and correspondingly each eddy contained in the regime of the upstream base corner of the cavity, is susceptive to influences of the primary flow, the eddies contained in that region become much deformed in comparison with those in other corner regions.
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.
