A dissertation submitted to the Faculty of Engineering, University of the Witwatersrand,
Johannesburg, in fulfilment of the requirements for the degree of Master of Science in
Engineering. / In this research a finite element analysis program was developed for the modelling of general
compressible Euler flows. An explicit Taylor-Galerkin algorithm was used as the flow solver and
was used in conjunction with a flux-corrected transport algorithm in order to obtain high shock
resolution without numerical oscillations and overshoots. The solver was applied to two and three
dimensional geometries. An axisymmetric extension of the Taylor Galerkin algorithm was also
developed.
For the two dimensional code, a fully automatic mesh generator was implemented which was able
to generate meshes for completely arbitrary geometries, as well as an adaptive refinement algorithm
which performs an error analysis on the solution and refines and coarsens the mesh appropriately
in order to maintain an optimal mesh resolution. The automatic mesh generator dramatically reduced
problem setup time and the adaptive refinement algorithm reduced compllter time by up to 90%"
A number of test cases were performed covering a wide range of compressible flows including
steady and unsteady flows in air, using the ideal gas model, and shocks in liquids, using the Tait
model. Within the limitations of the inviscid and real gas assumptions made, accurate results were obtained, / AC 2018
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/24374 |
| Date | January 1995 |
| Creators | Felthum, Luke T |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | application/pdf |
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