Closure to “Discussion of ‘Direction Method for Optimization of a Centrifugal Compressor Vaneless Diffuser’ ” (2000, ASME, J. Turbomach., 123, p. 79)

The point made by Professor Cumpsty concerning the results related to the variation of the weighting coefficients shown in Fig. 7 is well taken. We found that the figure’s legend was misplaced in the pamphlet paper; we have redrawn Fig. 7. If the stagnation pressure is approximated by $pt=ps+1/2ρu2,$ the objective functions searched by the three sets of weighting coefficients shown in Fig. 7 arefor α=1 and β=1, and