【摘 要】
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Designing airfoils according to given pressure ( or velocity) distribution is one kind of free boundary problems. Free boundary condition can be coupled with th
【机 构】
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Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R.
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Designing airfoils according to given pressure ( or velocity) distribution is one kind of free boundary problems. Free boundary condition can be coupled with the flow governing equations by variable-domain variational calculus, which makes it possible to calculate simultaneously the flow field and the free boundary. An accurate deduction of the variable-domain variational principles is taken herein to design airfoils in compressible and incompressible flows. Furthermore, two grid types (H and O ) are used in the calculation with better results for the O-type grid. It is shown that convergence is accelerated and good results can be obtained even if the initial guessed airfoil shape is a triangle, demonstrating the strong adaptability of this method.
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