Abstract
The problem of viscous prograde (eastward) and retrograde (westward) flow past a cylindrical obstacle on a β-plane is considered. The barotropic vorticity equation is solved using a numerical method that combines finite difference and spectral methods. A modified version of the β-plane approximation is proposed to avoid computational difficulties associated with the traditional β-plane approximation. Numerical results are presented and discussed for flow past a circular cylinder at selected Reynolds numbers (Re )a nd non-dimensional β-parameters ( ˆ β) as well as for flow past an elliptic cylinder of a fixed aspect ratio (r = 0.2) at inclination angles of ±15 ◦ , 90 ◦ and selected Reand ˆ β. In prograde flows, it is found that the β-effect acts to suppress boundary-layer separation and to excite a standing Rossby lee wavetrain, as observed in previ- ous works. In retrograde flows, the boundary-layer separation region is elongated and westward propagating Rossby waves are excited.
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 callDisclaimer: 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.
