Turbomachinery design sensitivity

摘要

A numerical algorithm for the sensitivity analysis of unsteady turbine stages is briefly described and exercised for a number of test cases. The analysis software has been in use by aircraft engine manufacturers but has not crossed over into ground-based applications. Aerodynamic and thermal sensitivty derivatives are computed using the complex Taylor series expansion (CTSE) technique. Test cases involve both a 2D linear cascade and a 3D stator-rotor stage geometry. Design sensitivity is examined for several design variables including; surface shape and other geometric properties in two dimensions, and axial gap, rotation speed, and blade indexing (clocking) in three dimensions. Results indicate that selective complexification produces a CTSE algorithm with the same accuracy as black-box (full) complexification at a great reduction in computational cost. Although current costs still show the sensitivity data to cost approximately the same as the initial analysis, continued improvements in implementation are indicating that these cost will soon be only a fraction more than the initial cost of analysis.