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 AbstractThe 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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