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Unformatted text preview: number of panels: eg 10, 20, 40, 80 and so on. A reasonable single measure of the solution accuracy might be the value of the flow speed at the point of max thickness (x=0). Discuss this… how many significant figures do you have in the solution, and how does it depend on the number of panels b) The exact solution for this ellipse is known: If the ellipse is represented by x=(1+b)cos (th); y = (1-b) sin(th) where th ranges from 0 to 2pi (and b determines the thickness to chord ratio) Then the flow speed on the surface is 2*Uinf/[ (1+b)*sqrt(1+ e^4 x^2/y^2) ] Where e is short for (1-b)/(1+b) Show that the maximum speed in the analytical solution is exactly greater than the free stream speed by a factor of (1+ thickness/chord) c) Compare the numerical solutions from part a) to the analytical solution. How does the maximum speed match up, in particular? AAE333 Fall 2009...
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- Fall '09
- Fluid Dynamics, The Panel, incompressible potential flow, ﬂow speed, panel method