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Numerical solutions of the unsteady Navier-Stokes equations for arbitrary bodies using boundary-fitted curvilinear coordinatesA method of automatic body-fitted curvilinear coordinate generation is described and used to construct a finite-difference solution of the full incompressible time-dependent Navier-Stokes equations for the unsteady laminar viscous flow arbitrary two-dimensional airfoils or any other two-dimensional body. A method of controlling the spacing of the coordinate lines encircling the body is developed in order to treat high Reynolds number flows, since the coordinate lines must concentrate near the surface to a greater degree as the Reynolds number increases. Multiple airfoils and submerged hydrofoils are treated as illustrative examples. The solution shows good agreement with the Blasius boundary layer solution for the flow past a semi-infinite flat plate.
Document ID
19760027380
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Thompson, J. F.
(Mississippi State Univ. Mississippi State, MS, United States)
Thames, F. C.
(Mississippi State Univ. Mississippi State, MS, United States)
Walker, R. L.
(Mississippi State Univ. Mississippi State, MS, United States)
Shanks, S. P.
(Mississippi State University Mississipi State, Miss., United States)
Date Acquired
August 8, 2013
Publication Date
January 1, 1975
Subject Category
Fluid Mechanics And Heat Transfer
Meeting Information
Meeting: Unsteady aerodynamics
Location: Tucson, AZ
Start Date: March 18, 1975
End Date: March 20, 1975
Accession Number
76A10346
Funding Number(s)
CONTRACT_GRANT: N00014-74-C-0373-P0001
CONTRACT_GRANT: NGR-25-001-055
Distribution Limits
Public
Copyright
Other

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