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Viscous flow solutions with a cubic spline approximationA cubic spline approximation is used for the solution of several problems in fluid mechanics. This procedure provides a high degree of accuracy even with a nonuniform mesh, and leads to a more accurate treatment of derivative boundary conditions. The truncation errors and stability limitations of several typical integration schemes are presented. For two-dimensional flows a spline-alternating-direction-implicit (SADI) method is evaluated. The spline procedure is assessed and results are presented for the one-dimensional nonlinear Burgers' equation, as well as the two-dimensional diffusion equation and the vorticity-stream function system describing the viscous flow in a driven cavity. Comparisons are made with analytic solutions for the first two problems and with finite-difference calculations for the cavity flow.
Document ID
19750045108
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Rubin, S. G.
(New York, Polytechnic Institute, Farmingdale, N.Y., United States)
Graves, R. A., Jr.
(NASA Langley Research Center Hampton, Va., United States)
Date Acquired
August 8, 2013
Publication Date
March 1, 1975
Publication Information
Publication: Computers and Fluids
Volume: 3
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
75A29180
Funding Number(s)
CONTRACT_GRANT: NAS1-11707
CONTRACT_GRANT: AF-AFOSR-74-2635
PROJECT: AF PROJECT 9781-02
Distribution Limits
Public
Copyright
Other

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