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Open Channels Flow". Second edition, (2008)

by M H Chaudhry
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Adapted MacCormack Finite-Differences Scheme for Water Hammer Simulation

by Lyes Amara , Ali Berreksi , Bachir Achour
"... Abstract-An adapted second-order accurate MacCormack finite-differences scheme is introduced and tested for the integration of the water hammer equations for a friction pipe. A fractional method is used to solve the governing equations in two steps with the Runge-Kutta splitting technique. The deta ..."
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Abstract-An adapted second-order accurate MacCormack finite-differences scheme is introduced and tested for the integration of the water hammer equations for a friction pipe. A fractional method is used to solve the governing equations in two steps with the Runge-Kutta splitting technique. The details of the proposed improvement technique, boundary condition inclusion and the shock capturing capability are presented in this paper. The numerical oscillations resulting from the dispersive errors of the MacCormack original scheme are treated using the artificial viscosity procedure. The results computed using the adapted MacCormack scheme for a friction pipeline with the original scheme with numerical viscosity are compared and analyzed. It is shown that for an abrupt varied flow, the proposed technique leads to better results.
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...dhry [7] and Garcia and Kahawita [8]. The MacCormack scheme is second-order accurate in both space and time. It is comprised of two parts predictor and corrector, in which one-sided finite-difference approximations are used at each step [9]. A. General Formulation Two alternatives of this scheme are possible. In one alternative, forward finite-differences are used to approximate the spatial partial derivatives in the predictor part and backward finite-differences are utilized in the corrector part. The values of variables determined during the predictor part are used during the corrector part [10]. The finite-difference approximations for the first alternative of this scheme are used here; equations for the second alternative of the scheme may be written similarly by reversing the direction of the spatial finite-difference approximations. Referring to Fig.1, it can be written for the first alternative: i x t 1i 1i j 1j Fig. 1 Computational grid 1) Predictor Part: tGFF x t UU ji j i j i j ii 1 ~ Ni 2 (5) 2) Corrector Part: tGFF x t UU ji j i j i j ii ~~~ˆ 1 11 Ni (6) In which U ~ and U are the intermediates values for the vector U . The new val...

ii HYDRAULIC EFFICIENCY OF GRATE AND CURB-OPENING INLETS UNDER CLOGGING EFFECT

by James C. Y. Guo, Principle Investigator, Ken Mackenzie, James C. Y. Guo, Principle Investigator , 2012
"... DTD APPLIED RESEARCH AND INNOVATION BRANCHThe contents of this report reflect the views of the author(s), who is(are) responsible for the facts and accuracy of the data presented herein. The contents do not necessarily reflect the official views of the Colorado Department of Transportation or the Fe ..."
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DTD APPLIED RESEARCH AND INNOVATION BRANCHThe contents of this report reflect the views of the author(s), who is(are) responsible for the facts and accuracy of the data presented herein. The contents do not necessarily reflect the official views of the Colorado Department of Transportation or the Federal Highway Administration. This report does not constitute a standard, specification, or regulation. ACKNOWLEDGEMENTS The authors gratefully acknowledge the Colorado Department of Transportation’s financial support during the course of this study. The authors would also like to extend their deep appreciation to the members of the Colorado Department of Transportation Research Study Panel including Amanullah Mommandi (Project Development Branch), Mr. Alfred Gross (R-1

* Corresponding author, Tel: +234-8038684305 DEVELOPMENT AND TESTING OF INFRARED WATER CURRENT

by unknown authors
"... Continuous monitoring of the river flow is essential for assessing water availability. River flow velocity is crucial to simulate discharge hydrographs of water meter with infrared. The infrared current meter was tested using Ebonyi River at Obollo performed at three different verticals (A, B, & ..."
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Continuous monitoring of the river flow is essential for assessing water availability. River flow velocity is crucial to simulate discharge hydrographs of water meter with infrared. The infrared current meter was tested using Ebonyi River at Obollo performed at three different verticals (A, B, & C) across the watercourse velocity readings were taken at the 0.6 of the depth below the surface. The total depth of water at locations A, B, and C are 0.35m, 0.4m and 0.54m respectively. The digital water current meter with infrared display obtained per second. To confirm the accuracy of the infrared current meter, it wa conventional water current meter. The measurements performed with the infrared current meter compared well with the measurement performed with measurements obtained using the two current meters was obtained.
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...ajiorgu@unn.edu.ng in the hydrological system.This study developed a digital water currentsof Ebonyi River. At each location, thesconventional current meters. The linear regression equation for thes.s=-=[2]-=-.s- -gaugingssubsection velocities constitute an incrementalsdischarge, and the sum of the incremental dischargesvalues is a total stream discharge. Dilution techniquesscommonly referred to as dye det...

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