The process of enhancing an upwind finite volume, two-dimensional, thin layer Navier Stokes solver to achieve complete Navier Stokes solutions is described. The shear stress and heat flux contributions are identified and transformed to a generalized coordinate system. The metrics which result from the transformation have a geometrical interpretation in the finite volume formulation and are presented as supporting material. The additional terms which are neglected in the thin-layer approximations, are evaluated and discretized consistently with the finite volume method. Implicit linearizations are applied to the second derivatives tangent to the body surface; however, the cross derivatives are not linearized and are treated conservatively. Validation of the Navier Stokes solver is acquired by comparison to existing computational solutions for a double throat nozzle. Additional viscous solutions for the thin layer and the complete forms of the NS equations are provided for a flat plate shock boundary layer interaction. / Master of Science
| Identifer | oai:union.ndltd.org:VTETD/oai:vtechworks.lib.vt.edu:10919/43052 |
| Date | 10 June 2012 |
| Creators | Mitchell, Curtis R. |
| Contributors | Mechanical Engineering, Ng, Wing Fai, Moses, Hal L., Brown, Eugene F. |
| Publisher | Virginia Tech |
| Source Sets | Virginia Tech Theses and Dissertation |
| Detected Language | English |
| Type | Thesis, Text |
| Format | xi , 87 leaves, BTD, application/pdf, application/pdf |
| Rights | In Copyright, http://rightsstatements.org/vocab/InC/1.0/ |
| Relation | OCLC# 18679575, LD5655.V855_1988.M572.pdf |
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