A numerical study of the steady scalar convective diffusion equation for small viscosity

The equation ν▿ 2 u = f x ( u) + g y ( u) is studied by means of a compact finite difference scheme and numerical solutions are compared to the analytic inviscid (v = 0) solutions. The correct internal and external boundary layer behaviour is observed, due to an inherent feature of the scheme which...

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Bibliographic Details
Published in:Journal of Computational Physics 1984-12, Vol.56 (3), p.513-529
Main Authors: Giles, Michael B, Rose, Milton E
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fluid dynamics
Fluid Mechanics And Heat Transfer
Fundamental areas of phenomenology (including applications)
Physics
Turbulent flows, convection, and heat transfer
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Summary:The equation ν▿ 2 u = f x ( u) + g y ( u) is studied by means of a compact finite difference scheme and numerical solutions are compared to the analytic inviscid (v = 0) solutions. The correct internal and external boundary layer behaviour is observed, due to an inherent feature of the scheme which automatically produces upwind differencing in inviscid regions and the correct viscous behaviours in viscous regions.
ISSN:0021-9991
1090-2716
DOI:10.1016/0021-9991(84)90110-4