Consistency and convergence of SPH approximations

 

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dc.contributor.author Penzhorn, Karl en_ZA
dc.date.accessioned 2015-02-04T19:06:43Z
dc.date.available 2015-02-04T19:06:43Z
dc.date.issued 2009 en_ZA
dc.identifier.citation Penzhorn, K. 2009. Consistency and convergence of SPH approximations. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/12365
dc.description Includes bibliographical references (leaves 58-59). en_ZA
dc.description Includes abstract. en_ZA
dc.description.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. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Engineering en_ZA
dc.title Consistency and convergence of SPH approximations en_ZA
dc.type Master Thesis
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Engineering and the Built Environment
dc.publisher.department Centre for Research in Computational and Applied Mechanics (CERECAM) en_ZA
dc.type.qualificationlevel Masters
dc.type.qualificationname MSc en_ZA
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Penzhorn, K. (2009). <i>Consistency and convergence of SPH approximations</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,Centre for Research in Computational and Applied Mechanics (CERECAM). Retrieved from http://hdl.handle.net/11427/12365 en_ZA
dc.identifier.chicagocitation Penzhorn, Karl. <i>"Consistency and convergence of SPH approximations."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,Centre for Research in Computational and Applied Mechanics (CERECAM), 2009. http://hdl.handle.net/11427/12365 en_ZA
dc.identifier.vancouvercitation Penzhorn K. Consistency and convergence of SPH approximations. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,Centre for Research in Computational and Applied Mechanics (CERECAM), 2009 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/12365 en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Penzhorn, Karl AB - 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. DA - 2009 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2009 T1 - Consistency and convergence of SPH approximations TI - Consistency and convergence of SPH approximations UR - http://hdl.handle.net/11427/12365 ER - en_ZA


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