Thermally-Driven Flow in a Cavity using the Galerkin Finite Element Method

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Time periodic solutions are found for the natural convection of a Pr = 0.71 fluid in a differentially heated 8 x 1 cavity at Ra = 3.4 x 10{sup 5} using a ''straight'' Galerkin finite element method with the Q{sub 2}Q{sub 1} element. Time integration is performed with an implicit second-order accurate (in time) trapezoid rule. As expected, the average values of various solution metrics were relatively insensitive to mesh refinement and time integration truncation error, although coarse meshes tend to damp out the time periodic behavior. The amplitude and frequency of the oscillation is sensitive to both mesh and ... continued below

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117 Kilobytes pages

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Westerberg, K.W. October 19, 2000.

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Time periodic solutions are found for the natural convection of a Pr = 0.71 fluid in a differentially heated 8 x 1 cavity at Ra = 3.4 x 10{sup 5} using a ''straight'' Galerkin finite element method with the Q{sub 2}Q{sub 1} element. Time integration is performed with an implicit second-order accurate (in time) trapezoid rule. As expected, the average values of various solution metrics were relatively insensitive to mesh refinement and time integration truncation error, although coarse meshes tend to damp out the time periodic behavior. The amplitude and frequency of the oscillation is sensitive to both mesh and time truncation errors.

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117 Kilobytes pages

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  • 1st MIT Conference on Computational Fluid and Solid Mechanics, Cambridge, MA (US), 06/12/2001--06/14/2001

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  • Report No.: UCRL-JC-141017
  • Grant Number: W-7405-Eng-48
  • Office of Scientific & Technical Information Report Number: 791139
  • Archival Resource Key: ark:/67531/metadc742284

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  • October 19, 2000

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  • Oct. 19, 2015, 7:39 p.m.

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  • May 6, 2016, 4:14 p.m.

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Westerberg, K.W. Thermally-Driven Flow in a Cavity using the Galerkin Finite Element Method, article, October 19, 2000; California. (digital.library.unt.edu/ark:/67531/metadc742284/: accessed November 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.