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Consistency and convergence of SPH approximations
Includes bibliographical references (leaves 58-59).
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| Main Author: | |
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| Format: | Thesis |
| Language: | English |
| Published: |
Centre for Research in Computational and Applied Mechanics (CERECAM)
2015
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| _version_ | 1867613225569222656 |
|---|---|
| access_status_str | Open Access |
| author | Penzhorn, Karl |
| author_browse | Penzhorn, Karl |
| author_facet | Penzhorn, Karl |
| author_sort | Penzhorn, Karl |
| collection | Thesis |
| description | Includes bibliographical references (leaves 58-59). |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/12365 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:45.765Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2015 |
| publishDateRange | 2015 |
| publishDateSort | 2015 |
| publisher | Centre for Research in Computational and Applied Mechanics (CERECAM) |
| publisherStr | Centre for Research in Computational and Applied Mechanics (CERECAM) |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/12365 Consistency and convergence of SPH approximations Penzhorn, Karl Engineering Includes bibliographical references (leaves 58-59). Includes abstract. This thesis is about a new approach to SPH. Instead of using a single kernel or shape function for approximation of a function and its derivatives, individual shape functions are used for each derivative. The investigation is carried out in one space dimension. After producing the conditions for consistency and convergence for the zeroth, first and second derivatives, a new set of linear or piecewise-linear shape functions which meet the minimum of these requirements are presented for each. 2015-02-04T19:06:43Z 2015-02-04T19:06:43Z 2009 Master Thesis Masters MSc http://hdl.handle.net/11427/12365 eng application/pdf Centre for Research in Computational and Applied Mechanics (CERECAM) Faculty of Engineering and the Built Environment University of Cape Town |
| spellingShingle | Engineering Penzhorn, Karl Consistency and convergence of SPH approximations |
| thesis_degree_str | Master's |
| title | Consistency and convergence of SPH approximations |
| title_full | Consistency and convergence of SPH approximations |
| title_fullStr | Consistency and convergence of SPH approximations |
| title_full_unstemmed | Consistency and convergence of SPH approximations |
| title_short | Consistency and convergence of SPH approximations |
| title_sort | consistency and convergence of sph approximations |
| topic | Engineering |
| url | http://hdl.handle.net/11427/12365 |
| work_keys_str_mv | AT penzhornkarl consistencyandconvergenceofsphapproximations |