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Incompressible Navier-Stokes and parabolized Navier-Stokes solution procedures and computational techniquesRecent developments with finite-difference techniques are emphasized. The quotation marks reflect the fact that any finite discretization procedure can be included in this category. Many so-called finite element collocation and galerkin methods can be reproduced by appropriate forms of the differential equations and discretization formulas. Many of the difficulties encountered in early Navier-Stokes calculations were inherent not only in the choice of the different equations (accuracy), but also in the method of solution or choice of algorithm (convergence and stability, in the manner in which the dependent variables or discretized equations are related (coupling), in the manner that boundary conditions are applied, in the manner that the coordinate mesh is specified (grid generation), and finally, in recognizing that for many high Reynolds number flows not all contributions to the Navier-Stokes equations are necessarily of equal importance (parabolization, preferred direction, pressure interaction, asymptotic and mathematical character). It is these elements that are reviewed. Several Navier-Stokes and parabolized Navier-Stokes formulations are also presented.
Document ID
19830010755
Document Type
Conference Paper
Authors
Rubin, S. G. (Cincinnati Univ. OH, United States)
Date Acquired
August 11, 2013
Publication Date
January 1, 1982
Publication Information
Publication: Von Karman Inst. for Fluid Dyn. Computational Fluid Dyn.
Subject Category
FLUID MECHANICS AND HEAT TRANSFER
Funding Number(s)
CONTRACT_GRANT: NAG1-8
CONTRACT_GRANT: AF-AFOSR-0047-80
CONTRACT_GRANT: N00014-79-C-0849
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.