TY - EJOU
AU - Srinath, D.N.
AU - Mittal, Sanjay
AU - Manek, Veera
TI - Multi-Point Shape Optimization of Airfoils at Low Reynolds Numbers
T2 - Computer Modeling in Engineering \& Sciences
PY - 2009
VL - 51
IS - 2
SN - 1526-1506
AB - A continuous adjoint method is formulated and implemented for the multi-point shape optimization of airfoils at low Re. The airfoil shape is parametrized with a non-uniform rational B-Spline (NURBS). Optimization studies are carried out for two different objective functions. The first involves an inverse function on the lift coefficient over a range of Re. The objective is to determine a shape that results in a lift coefficient of 0.4 at three values of Re: 10, 100 and 500. The second objective involves a direct function on the lift coefficient over a range of angles of attack,a. The lift coefficient is maximized simultaneously fora= 4o, 8oand 12owhile the Re is held constant. The final shapes from both the cases are compared with those from the single-point optimization at each of the operating point. It is seen that the multi-point shapes are significantly different. They also have a better off-design performance than the geometries from single-point designs.
KW - airfoils
KW - multi-point
KW - shape optimization
KW - adjoint methods
KW - low Reynolds numbers
KW - finite element
DO - 10.3970/cmes.2009.051.169