Inverse design problem for optimizing cascades
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 un...
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Published in | Aircraft Engineering and Aerospace Technology Vol. 78; no. 6; pp. 515 - 521 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Bradford
Emerald Group Publishing Limited
01.11.2006
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Subjects | |
Online Access | Get full text |
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Summary: | 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. |
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Bibliography: | original-pdf:1270780607.pdf href:00022660610707193.pdf istex:8E282367BA462F9F7033B29DAB36065C23A6985D ark:/67375/4W2-CV06BCZG-5 filenameID:1270780607 ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 1748-8842 0002-2667 1758-4213 |
DOI: | 10.1108/00022660610707193 |