Geometry Dialog

The following boxes are described below:

Ø Bezier-PARSEC parameterization

Ø Bezier parameterization

Ø Blade resolution

Ø Initial blade angle and spacing

Bezier-PARSEC parameterization

- Select “PARSEC parameters…” for BP 3434 or 3424 parameterization of airfoils

- Select “BP3333 parameters…” for BP 3333 parameterization of airfoils

- Thickness and Camber curve parameters are described in chapter 3. All angles are in radians. rle is actually |rle| - i.e. leading edge radius is defined to be positive.

- Initial values: The set of initial values defines one vector in the initial population. This can be used to ensure that at least one member of the initial population is a valid airfoil.

- Optimize parameter?: Any of the BP parameters can be held constant throughout optimization. Simply deselect its “yes” box.

- Lower and Upper bounds: For a given vector in the initial population, each parameter value is a random number chosen between the upper and lower bound entered.

- The initial population shown here was used for all inverse design results reported in the thesis.

Bezier parameterization

- Select “Bezier control points…” for Bezier parameterization of airfoils

- Type in filenames consisting of the initial Bezier parameters. These parameters define one vector b in the initial population. For any other vector x in the initial population, parameter x_i is chosen randomly from within (x_i –0.02, x_i +0.07)

- Either the camber or thickness curve can be held constant throughout optimization. Simply deselect the appropriate box.

- The nitial population determined by the files “8ptCamb.r” and “8ptThic.r” was used for all results reported in the thesis

Blade resolution

- Defines the maximum panel length used for generating data points

- Reset to 0.04 every time the program is run. (DE has no “memory” for this variable.)

- Thesis results reported for the 112^o-cambered blade all use a maximum panel length of 0.03. Otherwise, results were for 0.04.

Initial blade angle and spacing

- Only applicable for pressure distribution targets.

- Initial pitch/chord ratio and Initial stagger angle define the blade spacing used for the one predefined initial blade.

- Pitch/chord ratios in the initial population are chosen at random from within (0.1, 0.2).

- Stagger angle is measured in degrees. Initial population is chosen at random from within 15^o of the initial value.