Analysis of Flows with Initially Unknown Discharge

by Hans-Joerg Diersch, Scientific Asst.; Section of Water Sci. and Engrg., Technical Univ. of Dresden, Dresden, G.D.R.,
Karl-Franz Busch, Dir. of Section of Water Sci. and Engrg.; Technical Univ. of Dresden, Dresden, G.D.R.,
Andreas Schirmer, Scientific Asst.; Section of Water Sci. and Engrg., Technical Univ. of Dresden, Dresden, G.D.R.,


Serial Information: Journal of the Hydraulics Division, 1977, Vol. 103, Issue 3, Pg. 213-232


Document Type: Journal Paper

Abstract: Two-dimensional and axisymmetric gravity flows of ideal fluids are calculated by means of the finite element method. A generalized iteration technique is used for the discharge and free-surface determinations. The model can be employed in a versatile manner due to a flexible network structure. Significant principles for the control of the entire network movement are presented for free-surface problems. This yields, apart from theoretical discharge coefficients, the free-surface profiles and the velocity and pressure distributions over the entire flow domain. Solutions for flow under sluice gates, under a spillway gate, over spillway crests, and over a morning-glory shaft spillway are given.

Subject Headings: Free surfaces | Spillways | Two-dimensional flow | Fluid flow | Finite element method | Velocity distribution | Pressure distribution | Gates (hydraulic)

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