Mitchell, Curtis R.2014-03-142014-03-141988-05-05etd-06102012-040247http://hdl.handle.net/10919/43052The 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.xi , 87 leavesBTDapplication/pdfIn CopyrightLD5655.V855 1988.M572Fluid dynamicsNavier-Stokes equationsThesishttp://scholar.lib.vt.edu/theses/available/etd-06102012-040247/