Research Article
Jun 1973

Finite Element Solution for General Fluid Motion

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Publication: Journal of the Hydraulics Division
Volume 99, Issue 6

Abstract

General hydrodynamic equations of the same form as the Navier-Stokes and continuity equations are numerically solved by a variational method based on a quasi-linear variational principle. The finite element decomposition results in a simple linear matrix system that is readily solved by standard first order numerical methods. A pseudo-iterative procedure is used to accommodate the basic nonlinearity of the equations of motion.

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Journal of the Hydraulics Division
Volume 99Issue 6June 1973
Pages: 913 - 919

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Published in print: Jun 1973
Published online: Feb 3, 2021

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Gary L. Guymon, M.ASCE
Assoc. Prof. of Water Resources and Civ. Engrg., Inst. of Water Resources, Univ. of Alaska, Fairbanks, Alaska

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