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Three-Dimensional Finite Element Model for Lake Circulation

Report Number: AFFDL TR 71-160 p. 1025-1048
Author: Leonard, John W.
Author: Melfi, David
Corporate Author: Illinois Institute of Technology
Date of Publication: 1973-12
Pages: 23

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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