Document Type Master's Dissertation Author Bogaers, Alfred Edward Jules firstname.lastname@example.org URN etd-08112010-143616 Document Title Reduced order modeling techniques for mesh movement as applied to fluid structure interactions Degree MEng Department Mechanical and Aeronautical Engineering Supervisor
Advisor Name Title Dr S Kok Committee Chair Keywords
- unstructured mesh movement
- mesh optimization
- proper orthogonal decomposition
- radial basis function interpolation
- reduced order modeling
- elastic deformation
Date 2010-09-02 Availability unrestricted Abstract
In this thesis, the method of Proper Orthogonal Decomposition (POD) is implemented to construct approximate, reduced order models (ROM) of mesh movement methods. Three mesh movement algorithms are implemented and comparatively evaluated, namely radial basis function interpolation, mesh optimization and elastic deformation. POD models of the mesh movement algorithms are constructed using a series of system observations, or snapshots of a given mesh for a set of boundary deformations. The scalar expansion coefficients for the POD basis modes are computed in three different ways, through coefficient optimization, Galerkin projection of the governing set of equations and coefficient interpolation. It is found that using only coefficient interpolation yields mesh movement models that accurately approximates the full order mesh movement, with CPU cost savings in excess of 99%.
We further introduce a novel training procedure whereby the POD models are generated in a fully automated fashion. The technology is applicable to any mesh movement method and enables potential reductions of up to four orders of magnitude in mesh movement related costs. The proposed model can be implemented without having to pre-train the POD model, to any fluid-structure interaction code with an existing mesh movement scheme.
Copyright © 2010, University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.
Please cite as follows:
Bogaers, AEJ 2010, Reduced order modeling techniques for mesh movement as applied to fluid structure interactions, MEng dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://upetd.up.ac.za/thesis/available/etd-08112010-143616/ >
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