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A cut-cell, agglomerated-multigrid accelerated, Cartesian mesh method for compressible and incompressible flow
Dissertation (MEng (Mechanical Engineering))--University of Pretoria, 2007.
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University of Pretoria
2013
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| _version_ | 1867613503953567745 |
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| access_status_str | Open Access |
| author2 | Malan, A.G. |
| author_browse | Malan, A.G. |
| author_facet | Malan, A.G. |
| collection | Thesis |
| dc_rights_str_mv | © 2007, 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. |
| description | Dissertation (MEng (Mechanical Engineering))--University of Pretoria, 2007. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/26069 |
| institution | University of Pretoria (South Africa) |
| last_indexed | 2026-06-10T12:37:11.641Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2013 |
| publishDateRange | 2013 |
| publishDateSort | 2013 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/26069 A cut-cell, agglomerated-multigrid accelerated, Cartesian mesh method for compressible and incompressible flow Malan, A.G. Meyer, Josua P. s20131942@tuks.co.za Pattinson, John Cut-cell non-conforming cartesian meshes Inviscid UCTD Dissertation (MEng (Mechanical Engineering))--University of Pretoria, 2007. This work details a multigrid-accelerated cut-cell Cartesian mesh methodology for the solution of a single partial differential equation set that describes incompressible as well as compressible flow. The latter includes sub-, trans- and supersonic flows. Cut-cell technology is developed which furnishes body-fitted meshes with an overlapping Cartesian mesh as starting point, and in a manner which is insensitive to surface definition inconsistencies. An edge-based vertex-centred finite volume method is employed for the purpose of spatial discretisation. Further, an alternative dual-mesh construction strategy is developed and the standard discretisation scheme suitably enhanced. Incompressibility is dealt with via a locally preconditioned artificial compressibility algorithm, and stabilisation is in all cases achieved with scalar-valued artificial dissipation. In transonic flows, shocks are captured via pressure switch-activated upwinding. The solution process is accelerated by the use of a full approximation scheme (FAS) multigrid method where coarse meshes are generated automatically via a volume agglomeration methodology. The developed modelling technology is validated by application to the solution of a number of benchmark problems. The standard discretisation as well as the alternative method are found to be equivalent in terms of both accuracy and computational cost. Finally, the multigrid implementation is shown to achieve decreases in CPU time of between a factor two to one order of magnitude. In the context of cut-cell Cartesian meshes, the above work has resulted in the following novel contributions: the development of an alternative vertex-centred discretisation method; the use of volume agglomerated multigrid solution technology and the use of a single equation set for both incompressible and compressible flows. Mechanical and Aeronautical Engineering unrestricted 2013-09-07T02:21:26Z 2007-07-09 2013-09-07T02:21:26Z 2007-04-20 2007-07-09 2007-07-05 Dissertation Pattinson, J 2007, A cut-cell, agglomerated-multigrid accelerated, Cartesian mesh method for compressible and incompressible flow, MEng dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/26069 > http://hdl.handle.net/2263/26069 http://upetd.up.ac.za/thesis/available/etd-07052007-103047/ © 2007, 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. application/pdf University of Pretoria |
| spellingShingle | Cut-cell non-conforming cartesian meshes Inviscid UCTD A cut-cell, agglomerated-multigrid accelerated, Cartesian mesh method for compressible and incompressible flow |
| title | A cut-cell, agglomerated-multigrid accelerated, Cartesian mesh method for compressible and incompressible flow |
| title_full | A cut-cell, agglomerated-multigrid accelerated, Cartesian mesh method for compressible and incompressible flow |
| title_fullStr | A cut-cell, agglomerated-multigrid accelerated, Cartesian mesh method for compressible and incompressible flow |
| title_full_unstemmed | A cut-cell, agglomerated-multigrid accelerated, Cartesian mesh method for compressible and incompressible flow |
| title_short | A cut-cell, agglomerated-multigrid accelerated, Cartesian mesh method for compressible and incompressible flow |
| title_sort | cut cell agglomerated multigrid accelerated cartesian mesh method for compressible and incompressible flow |
| topic | Cut-cell non-conforming cartesian meshes Inviscid UCTD |
| url | http://hdl.handle.net/2263/26069 http://upetd.up.ac.za/thesis/available/etd-07052007-103047/ |