Title page for ETD etd-06102012-040247


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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