Consistency and convergence of SPH approximations

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.

Grantor dc:publisher.institution

Centre for Research in Computational and Applied Mechanics (CERECAM)

Year dc:date.issued

2009

Author dc:creator

• Penzhorn, Karl

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/11427/12365

OAI identifier oai:identifier

oai:open.uct.ac.za:11427/12365