Smooth lattice general relativity, and SPH simulations of swimming linked bodies

Kajtar, Jules Balazs

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Smooth lattice general relativity, and SPH simulations of swimming linked bodies

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Kajtar, Jules Balazs. Monash University. Faculty of Science. School of Mathematical Sciences; 2010. Smooth lattice general relativity, and SPH simulations of swimming linked bodies.

Please use this identifier to cite or link to this item: http://arrow.monash.edu.au/hdl/1959.1/166489

Title: Smooth lattice general relativity, and SPH simulations of swimming linked bodies
Creator: Kajtar, Jules Balazs
Contributor: Principal Supervisor: Leo Brewin
Subject: Numerical relativity
Subject: Smooth lattice method
Subject: SPH
Subject: Fluid dynamics
Subject: Swimming linked bodies
Subject: Smoothed Particle Hydrodynamics
Date: 2010
Publisher: Monash University. Faculty of Science. School of Mathematical Sciences
Description: In this thesis, two quite different bodies of work are presented. The first is the study of the smooth lattice approach to numerical relativity which has been developed by Brewin (1998a,b, 2002). The aim of the research was to further test the viability of the method. Previously, it had been used to model a Kasner cosmology and a Schwarzschild black hole. Both were shown to produce excellent results. In this thesis, the details and results for a long-term, stable integration of a (one-dimensional) symmetric gravitational collapse are given. In the second body of work, smoothed particle hydrodynamics (SPH) was used to model swimming linked bodies. These simulations are an attempt to model the motion of real swimming animals, such as fish or eels. The calculations were for three linked, rigid bodies in two-dimensions. However, the set of equations provided are easily generalised for more bodies, and for three dimensions. The results are shown for a range of body and fluid parameters. The common link between the two areas of research is that they are computational in nature. Both involve the study and development of specific numerical algorithms, and their application to particular problems. Whilst a significant amount of time was spent on developing the mathematical formulae, the vast majority was spent on the numerical implementation, i.e. writing and testing code, using both C and Fortran programming languages. The calculations were all done on a standard Apple eMac desktop computer. The thesis has been split into two parts to reflect that the two bodies of work are separate. In each part, the relevant mathematical and numerical details are described, and the associated results are presented.

collection(s): Doctorate theses
collection(s): Monash University Theses
Identifier: http://arrow.monash.edu.au/hdl/1959.1/166489
Identifier: ethesis-20100305-102946
Identifier: monash:29423
Language: eng
Rights: Open access: open access to thesis full text.
Rights: This thesis is protected by copyright. Copyright in the thesis remains with the author. The Monash University ARROW Repository has a non-exclusive licence to publish and communicate this thesis online.
Type: thesis
Type: thesis(doctorate)

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Doctorate theses

Smooth lattice general relativity, and SPH simulations of swimming linked bodies

Monash University Research Repository