![](/images/graphics-bg.png)
Shape Sensitivity Analysis in Flow Models Using a Finite-Difference Approach
Joint Authors
Hay, Alexander
Borggaard, Jeff
Akhtar, Imran
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-03-11
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
Reduced-order models have a number of practical engineering applications for unsteady flows that require either low-dimensional approximations for analysis and control or repeated simulation over a range of parameter values.
The standard method for building reduced-order models uses the proper orthogonal decomposition (POD) and Galerkin projection.
However, this standard method may be inaccurate when used “off-design” (at parameter values not used to generate the POD).
This phenomena is exaggerated when parameter values describe the shape of the flow domain since slight changes in shape can have a significant influence on the flow field.
In this paper, we investigate the use of POD sensitivity vectors to improve the accuracy and dynamical system properties of the reduced-order models to problems with shape parameters.
To carry out this study, we consider flows past an elliptic cylinder with varying thickness ratios.
Shape sensitivities (derivatives of flow variables with respect to thickness ratio) computed by finite-difference approximations are used to compute the POD sensitivity vectors.
Numerical studies test the accuracy of the new bases to represent flow solutions over a range of parameter values.
American Psychological Association (APA)
Akhtar, Imran& Borggaard, Jeff& Hay, Alexander. 2010. Shape Sensitivity Analysis in Flow Models Using a Finite-Difference Approach. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-22.
https://search.emarefa.net/detail/BIM-454789
Modern Language Association (MLA)
Akhtar, Imran…[et al.]. Shape Sensitivity Analysis in Flow Models Using a Finite-Difference Approach. Mathematical Problems in Engineering No. 2010 (2010), pp.1-22.
https://search.emarefa.net/detail/BIM-454789
American Medical Association (AMA)
Akhtar, Imran& Borggaard, Jeff& Hay, Alexander. Shape Sensitivity Analysis in Flow Models Using a Finite-Difference Approach. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-22.
https://search.emarefa.net/detail/BIM-454789
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454789