DMCA
Total Pressure Losses Minimization in Turbomachinery Cascades, using a New Continuous Adjoint Formulation
| Citations: | 1 - 0 self |
BibTeX
@MISC{Papadimitriou_totalpressure,
author = {D. I. Papadimitriou and K. C. Giannakoglou},
title = {Total Pressure Losses Minimization in Turbomachinery Cascades, using a New Continuous Adjoint Formulation},
year = {}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
A new continuous adjoint formulation for the optimization of cascade airfoils with minimum total pressure losses, i.e. an objective function which has never been used before along with the continuous adjoint, is presented. To support a steepest descent algorithm, the adjoint method computes the gradient of the objective function with respect to the design variables. The func-tion is defined as the difference in total pressure between the inlet to and the outlet from the cascade. In contrast to other known continuous adjoint approaches in aerodynamics (such as inverse designs based on target pressure distributions or drag–lift optimization for isolated air-foils), where the functional is defined over the parameterized solid walls, the present functional consists of integrals over the inlet/outlet boundaries only. To cope with this particular situa-tion, the method of characteristics is used to impose inlet/outlet adjoint boundary conditions. It is worth noting that the objective function gradient is expressed as an integral over the solid walls. The minimization of losses in linear and peripheral compressor cascades, constrained by the desirable flow turning and minimum allowed blade thickness, are demonstrated.
Keyphrases
new continuous adjoint formulation total pressure turbomachinery cascade objective function blade thickness objective function gradient particular situa-tion design variable inlet outlet boundary solid wall steepest descent algorithm continuous adjoint approach continuous adjoint desirable flow turning peripheral compressor cascade inverse design cascade airfoil present functional consists adjoint method minimum total pressure loss isolated air-foils inlet outlet adjoint boundary condition parameterized solid wall target pressure distribution
