In this thesis study, a fast implicit iteration scheme called Alternating Cell Directions Imp licit method
is combined with Approximate Factorization scheme. This application aims to offer a mathematically
well defined version of the Alternating Cell Directions Implicit Method and increase the accuracy of
the iteration scheme that is being used for the numerical solutions of the partial differential equations.
The iteration scheme presented here is tested using unsteady diffusion equation, Laplace equation and
advection-diffusion equation. The accuracy, convergence character and the stability character of the
scheme compared with suitable iteration schemes for structured and unstructured quadrilateral grids.
Besides, it is shown that the proposed scheme is applicable to triangular and hybrid polygonal grids.
A transonic full potential solver is generated using the current scheme. The flow around a 2-D
cylinder is solved for subcritical and supercritical cases. Axi-symmetric flow around cylinder is
selected as a benchmark problem since the potential flow around bodies with a blunt leading edge is a
more challenging problem than slender bodies.
Besides, it is shown that, the method is naturally appropriate for parallelization using shared memory
approach without using domain decomposition applications. The parallelization that is performed here
is partially line, partially point parallelization. T he performance of the application is presented for a 3-D unsteady diffusion problem using Cartesian cells and 2-D unsteady diffusion problem using both
structured and unstructured quadrilateral cells.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/12615589/index.pdf |
| Date | 01 January 2013 |
| Creators | Onay, Oguz Kaan |
| Contributors | Uzol, Oguz |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | M.S. Thesis |
| Format | text/pdf |
| Rights | To liberate the content for METU campus |
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