Three-Dimensional Finite Element Model for Lake Circulation

Item

Title
Three-Dimensional Finite Element Model for Lake Circulation
Description
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.
Creator
Leonard, John W.
Melfi, David
Abstract
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.
Corporate Author
Illinois Institute of Technology
State University of New York at Buffalo
Report Number
AFFDL TR 71-160 p. 1025-1048
Report Availability
Full text available
Publisher
Wright-Patterson Air Force Base, OH : Air Force Flight Dynamics Laboratory, Air Force Systems Command and Air Force Institute of Technology, Air University
Date
1973
Type
article
Date Issued
1973-12
Provenance
Bombardier/Aero
Distribution Classification
1
Distribution Conflict
No
DTIC Record Exists
No
Format
1 online resource (23 pages) : ill.
Extent
23
Identifier
AD0785968
Is Part Of
Proceedings of the Third Conference on Matrix Methods in Structural Mechanics: Proceedings of the Conference held at Wright-Patterson Air Force Base, Ohio 19-21 October 1971
Item sets
Illinois Tech Related
Media
AFFDLTR71-160article34.pdf

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Items with "Has Part: Three-Dimensional Finite Element Model for Lake Circulation"
Title Class
Proceedings of the Third Conference on Matrix Methods in Structural Mechanics: Proceedings of the Conference held at Wright-Patterson Air Force Base, Ohio 19-21 October 1971