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The solution of steady-state free surface problems by the finite element method
Bibliography: pages 64-68.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2016
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| _version_ | 1867613236663156736 |
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| access_status_str | Open Access |
| author | Chandrasiri, L H G S |
| author2 | Reddy, B Daya |
| author_browse | Chandrasiri, L H G S Reddy, B Daya |
| author_facet | Reddy, B Daya Chandrasiri, L H G S |
| author_sort | Chandrasiri, L H G S |
| collection | Thesis |
| description | Bibliography: pages 64-68. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/17333 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:56.154Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/17333 The solution of steady-state free surface problems by the finite element method Chandrasiri, L H G S Reddy, B Daya Applied Mathematics Bibliography: pages 64-68. This thesis is concerned with the development of a variational formulation for the problem of viscous incompressible free surface flows, and with the development and implementation of algorithms for the solution of this problem by finite elements. The study is restricted to two-dimensional steady problems. The approach differs from those in current use, in that it is based on a two-stage strategy suggested by theoretical (existence) studies of the problem. In the first stage the free surface is kept fixed and the resulting so-called auxiliary problem is solved. In the second stage the equation for the normal stress on the free surface is used to update the free surface. Both the auxiliary problem and the normal stress equation are formulated variationally; in the case of the latter problem the unknown variable is actually the slope of the free surface. Finite element approximations are used in both problems. Algorithms are developed for determining solutions at the two stages, and for the overall problem. The key example treated is the dieswell problem, for the plane and axisymmetric cases. Solutions obtained by the present method are presented, and compared with the solutions of others where available. 2016-02-29T12:00:54Z 2016-02-29T12:00:54Z 1992 Master Thesis Masters MSc http://hdl.handle.net/11427/17333 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Applied Mathematics Chandrasiri, L H G S The solution of steady-state free surface problems by the finite element method |
| thesis_degree_str | Master's |
| title | The solution of steady-state free surface problems by the finite element method |
| title_full | The solution of steady-state free surface problems by the finite element method |
| title_fullStr | The solution of steady-state free surface problems by the finite element method |
| title_full_unstemmed | The solution of steady-state free surface problems by the finite element method |
| title_short | The solution of steady-state free surface problems by the finite element method |
| title_sort | solution of steady state free surface problems by the finite element method |
| topic | Applied Mathematics |
| url | http://hdl.handle.net/11427/17333 |
| work_keys_str_mv | AT chandrasirilhgs thesolutionofsteadystatefreesurfaceproblemsbythefiniteelementmethod AT chandrasirilhgs solutionofsteadystatefreesurfaceproblemsbythefiniteelementmethod |