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Low Speed Airfoil Design

Low Speed Airfoil Design. Joan Puig. Project Goals. Maximize L/D Easy to build Keep Cm at a value that is not going to make the airplane unstable Have space for a strong structure Design an optimal airfoil for my RC airplane. Tools. Panel Method to generate Cp distribution

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Low Speed Airfoil Design

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  1. Low Speed Airfoil Design Joan Puig

  2. Project Goals • Maximize L/D • Easy to build • Keep Cm at a value that is not going to make the airplane unstable • Have space for a strong structure • Design an optimal airfoil for my RC airplane

  3. Tools • Panel Method to generate Cp distribution • Shape adjusting function • Optimizer • Drag estimation tools (future work...)

  4. Shape Adjusting Function • It generates any reasonable airfoil starting from a guess and a set of linerly independent bump functions.

  5. Bad bump function choice

  6. Optimization Process Review • Don't assume anything about the input data • Fit the input data using a spline to the desired X coordinate values • Pass appropriate parameters to the optimization function • Collect data periodically

  7. Guess

  8. 20 Iterations

  9. 40 Iterations

  10. 60 Iterations

  11. Final Result

  12. Convergence rate

  13. Speed • Solving a matrix is o(n^3) -> most of the time is spent here • Try to be able to fit your matrix in the cache • 32*(n^2+8n)/(8*1024)<available cache ~128-512 • Don't calculate x^2, x^3, sin(...) exp(...^n)... every time, compute them at the beginning and use them as global variables

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