Inverse design problem for optimizing cascades
Aircraft Engineering and Aerospace Technology
ISSN: 0002-2667
Article publication date: 1 November 2006
Abstract
Purpose
To optimize the shape of a cascade where velocity (or pressure) distribution is optimally given.
Design/methodology/approach
The semi‐inverse method suggested by Ji‐Huan He is applied to establishment of a variational theory for the discussed inverse problem. The boundary conditions on unknown shape are converted into the natural boundary conditions of the obtained variational functional.
Findings
Ji‐Huan He's semi‐inverse method is a powerful tool to the search for the variational formulation for the discussed problem. The derivation procedure is very simple and convenient; the finite element method based on the variational theory with moving boundary provides a very effective and robust numerical approach to the inverse problem.
Research limitations/implications
The design method is limited to frictionless flow.
Practical implications
The numerical method based on variational principle with moving boundary can be readily extended to other cases with moving surfaces or free boundaries.
Originality/value
The suggested numerical method can satisfy the demand of various cascade designs, where the velocity (or pressure) distribution can be optimally given from different aspects of engineering requirement: aerodynamics, strength, manufacture, etc.
Keywords
Citation
Wu, Z. (2006), "Inverse design problem for optimizing cascades", Aircraft Engineering and Aerospace Technology, Vol. 78 No. 6, pp. 515-521. https://doi.org/10.1108/00022660610707193
Publisher
:Emerald Group Publishing Limited
Copyright © 2006, Emerald Group Publishing Limited