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Finite-analytic numerical method for unsteady two-dimensional Navier-Stokes equationsA finite analytic (FA) numerical solution is developed for unsteady two-dimensional Navier-Stokes equations. The FA method utilizes the analytic solution in a small local element to formulate the algebraic representation of partial differential equations. The combination of linear and exponential functions that satisfy the governing equation is adopted as the boundary function, thereby improving the accuracy of the finite analytic solution. Two flows, one a starting cavity flow and the other a vortex shedding flow behind a rectangular block, are solved by the FA method. The starting square cavity flow is solved for Reynolds number of 400, 1000, and 2000 to show the accuracy and stability of the FA solution. The FA solution for flow over a rectangular block (H x H/4) predicts the Strouhal number for Reynolds numbers of 100 and 500 to be 0.156 and 0.125. Details of the flow patterns are given. In addition to streamlines and vorticity distribution, rest-streamlines are given to illustrate the vortex motion downstream of the block.
Document ID
19840043020
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Chen, C.-J.
(Iowa, University Iowa City, IA, United States)
Chen, H.-C.
(Iowa Univ. Iowa City, IA, United States)
Date Acquired
August 12, 2013
Publication Date
February 1, 1984
Publication Information
Publication: Journal of Computational Physics
Volume: 53
ISSN: 0021-9991
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
84A25807
Funding Number(s)
CONTRACT_GRANT: DE-AC02-79ER-10515-A000
CONTRACT_GRANT: NSG-3305
Distribution Limits
Public
Copyright
Other

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