@Article{cmes.2012.086.001,
AUTHOR = {Subhankar  Sen, Sanjay  Mittal, Gautam  Biswas},
TITLE = {Steady Separated Flow Past Elliptic Cylinders Using a Stabilized Finite-Element Method},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {86},
YEAR = {2012},
NUMBER = {1},
PAGES = {1--28},
URL = {http://www.techscience.com/CMES/v86n1/25854},
ISSN = {1526-1506},
ABSTRACT = {The steady flow around elliptic cylinders is investigated using a stabilized finite-element method. The Reynolds number, <i>Re</i>, is based on cylinder major
axis and free-stream speed. Results are presented for <i>Re</i> ≤ 40 and 0&deg;  ≤ <i>α</i> ≤ 90&deg;, where α is angle of attack. Cylinder aspect ratios, <i>AR</i> considered are 0.2 (thin), 0.5, 0.8 (thick) and 1.0. Results for the laminar separation Reynolds number, <i>Re<sub>s</sub></i> available in the literature are only for thin cylinder and exhibit large scatter. Also, very limited information is available for separation angle. The present study attempts to provide this data. In addition, issues concerning initial separation, such as location of separation and its evolution with <i>α</i> and <i>Re</i>, are studied. Symmetric cylinders are associated with a closed wake and consists of two attached eddies which appear at <i>Re<sub>s</sub></i>. Wake topology for asymmetric separation is proposed and compared with those of Smith (1983) and Dennis and Young (2003). The proposed topology differs significantly from the existing ones. For asymmetric cylinders, the wake
is open and consists of an attached upper bubble and an unattached recirculation
zone. The attached bubble appears at <i>Re<sub>s</sub></i> while the unattached zone appears at a larger <i>Re</i>. While symmetric separation initiates from base point, bubbles for asymmetric separation form near the trailing tip of thin and center of thick cylinders. For symmetric cylinders, the bubble elongates, approximately, linearly with <i>Re</i>. Irrespective of <i>AR, Re<sub>s</sub></i> exhibits non-monotonic variation with <i>α</i>.},
DOI = {10.3970/cmes.2012.086.001}
}