Consistency and convergence of SPH approximations

Master Thesis

2009

Permanent link to this Item
http://hdl.handle.net/11427/12365
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thesis_ebe_2009_penzhorn_k.pdf (599.67 KB)
Authors
Penzhorn, Karl
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University of Cape Town

Department
Centre for Research in Computational and Applied Mechanics (CERECAM)
Faculty
Faculty of Engineering and the Built Environment
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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.
Description

Includes bibliographical references (leaves 58-59).


Includes abstract.

Keywords
Engineering

Reference:

Penzhorn, K. 2009. Consistency and convergence of SPH approximations. University of Cape Town.

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Masters