Application of a log-linear element to a finite-element boundary-layer flow model

The finite element method was used to develop a class of boundary elements for the modeling of geophysical flows. These elements have both logarithmic and linear terms for the vertical direction and a quadratic function in the streamwise direction to permit a more accurate representation of the loga...

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Bibliographic Details
Published in:Journal of computational physics 1984-01, Vol.53 (3), p.513-523
Main Authors: Takle, E.S, Leone, J.M
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
Turbulent flows, convection, and heat transfer
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Summary:The finite element method was used to develop a class of boundary elements for the modeling of geophysical flows. These elements have both logarithmic and linear terms for the vertical direction and a quadratic function in the streamwise direction to permit a more accurate representation of the logarithmic velocity profile normal to the boundary. The log-linear element was tested against a conventional (9-node) element in a one-dimensional time-dependent simulation of diffusion-dominated flow of 50 m depth over a surface of assumed roughness. The result of the single log-linear element and results from the conventional method using two grids of 6 and 10 quadratic elements were compared with the analytic solution. The present element demonstrates superior accuracy. Nearly identical results were obtained in one-dimensional high-resolution simulations of neutral flow in the lowest 1500 m with and without the log-linear boundary element. The influence on the flow produced by cooling at the earth's surface is also studied.
ISSN:0021-9991
1090-2716
DOI:10.1016/0021-9991(84)90074-3