Type of Document	Master's Thesis
Author	Mitchell, Curtis R.
URN	etd-06102012-040247
Title	Viscous solutions for the Navier Stokes equations using an upwind finite volume technique
Degree	Master of Science
Department	Mechanical Engineering
Advisory Committee	Advisor Name Title Ng, Fai Committee Chair Brown, Eugene F. Committee Member Moses, Hal L. Committee Member
Keywords	Navier-Stokes equations.
Date of Defense	1988-05-05
Availability	restricted
Abstract 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.
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