Transient Finite Element Shallow Lake Circulationby Frank D.L. Young, Research Assoc.; School of Civ. and Environmental Engrg., Cornell Univ., Ithaca, N.Y.,
James A. Liggett, (M.ASCE), Prof.; School of Civ. and Environmental Engrg., Cornell Univ., Ithaca, N.Y.,
Serial Information: Journal of the Hydraulics Division, 1977, Vol. 103, Issue 2, Pg. 109-121
Document Type: Journal Paper
The paper presents a fast method of computing the three-dimensional time-dependent circulation in shallow homogeneous lakes. The Laplace tranform is used to remove the time dependence and enable a vertical integration of the basic equations. The resulting two-dimensional problem is treated numerically by a finite element analysis. The method then employs a numerical transform inversion in order to return to the physical variables. The result is a technique which is more than an order of magnitude faster than the time stepping method. Numerical results are compared to those obtained by other methods.
Subject Headings: Finite element method | Shallow water | Lakes | Water circulation | Transient response | Two-dimensional analysis | Time dependence | Homogeneity
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