This thesis presents techniques for two and three-dimensional grid generation, grid adaptation and a finite volume procedure for solving the two-dimensional compressible Euler and Navier-Stokes equations. In two-dimensions, four grid generation techniques are discussed: a multiblock elliptic partial differential equation approach for structured grids, a Delaunay triangulation approach for unstructured grids, a hybrid grid generator using an overlapping connected approach and a technique for generating unstructured grids suitable for viscous flow simulation using advancing normals. In three-dimensions, the advancing normal technique combined with a Delaunay triangulation algorithm has been developed to generate unstructured tetrahedral grids suitable for viscous flow simulation. Adaptivity techniques developed include point enrichment, using element subdivision and source points, point derefinement and node movement, the combined use of which gives rise to an adaptation strategy in two-dimensions. The use of source points for adapting three-dimensional unstructured grids is described and examples presented of its use on realistic aerospace geometries. A Jameson finite volume, cell-centred, Runge-Kutta time stepping scheme for the solution of inviscid, viscous laminar and viscous turbulent flows is presented. This procedure includes a k-ε turbulence model.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:638001 |
| Date | January 1994 |
| Creators | Marchant, M. J. |
| Publisher | Swansea University |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
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