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Title
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Three-Dimensional Finite Element Model for Lake Circulation
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Description
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A solution technique is presented for the three- dimensional (3- D) circulation of water in shallow lake basins. The basis for solution is a finite element analogue to the shallow lake equations due to Eckman. Galerkin's method provides the minimization functionals for the derivation of rectangular parallelopiped element equations. Since the matrix equations include a nonlinear boundary condition linking the free-surface elevation to the interior elements, the Newton-Raphson Method is suggested as a solution method for the governing matrix equations.
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Creator
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Leonard, John W.
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Melfi, David
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Abstract
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A solution technique is presented for the three- dimensional (3- D) circulation of water in shallow lake basins. The basis for solution is a finite element analogue to the shallow lake equations due to Eckman. Galerkin's method provides the minimization functionals for the derivation of rectangular parallelopiped element equations. Since the matrix equations include a nonlinear boundary condition linking the free-surface elevation to the interior elements, the Newton-Raphson Method is suggested as a solution method for the governing matrix equations.
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Corporate Author
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Illinois Institute of Technology
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State University of New York at Buffalo
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Report Number
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AFFDL TR 71-160 p. 1025-1048
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Report Availability
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Full text available
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Publisher
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Wright-Patterson Air Force Base, OH : Air Force Flight Dynamics Laboratory, Air Force Systems Command and Air Force Institute of Technology, Air University
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Date
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1973
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Type
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article
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Date Issued
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1973-12
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Provenance
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Bombardier/Aero
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Distribution Classification
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1
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Distribution Conflict
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No
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DTIC Record Exists
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No
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Format
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1 online resource (23 pages) : ill.
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Extent
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23
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Identifier
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AD0785968
