Dynamics of regularized cavity flow at high Reynolds numbers

✍ Scribed by Jie Shen

• Publisher: Elsevier Science
• Year: 1989
• Tongue: English
• Weight: 252 KB
• Volume: 2
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/0893-9659(89)90093-1

✦ Synopsis

A numerical simulation of the unsteady incompressible flows in the unit cavity is performed by using a Chebychev-Tau approximation for the space variables. The high accuracy of the spectral methods and the condensed distribution of the Chebychev-collocation points near the boundary enable us to obtain reliable results for high Reynolds numbers with a moderate number of modes. It is found that a stationary solution always exists for Reynolds numbers up to 10000. For Reynolds numbers larger than a critical value which is between 10000 and 12000, no more steady solution is found, instead, there is a persistent oscillation indicating a Hopf bifurcation.