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http://dx.doi.org/10.9798/KOSHAM.2014.14.6.325

Development and Application of Isovel Distribution in Velocity Profile Method Using Poisson Equation  

Cha, Jun-Ho (Department of Civil and Environmental Engineering, Hanyang University)
Kim, Chang-Wan (RiverTek Research Institute)
Cho, Yong-Sik (Department of Civil and Environmental Engineering, Hanyang University)
Publication Information
Journal of the Korean Society of Hazard Mitigation / v.14, no.6, 2014 , pp. 325-336 More about this Journal
Abstract
Recently in Korea, automatic discharge measurement system which calculates the river discharge using velocity measured by UVM(Ultrasonic Velocity Meter) and ADVM(Acoustic Doppler Velocity Meter) is actively being introduced. There are IVM(Index Velocity Method) and VPM(Velocity Profile Method) in the method of calculating river discharge. IVM is the method of calculating mean velocity of the entire cross-section by establishing the relationship between index velocity and mean velocity and VPM is the method of calculating velocity distribution of the entire cross-section by establishing the relationship between index velocity and velocity distribution. Chiu(1988)'s 2-D velocity distribution using VPM, it is necessary to adjust a lot of shape parameter and it is difficult to obtain the exact isovel distribution except for the rectangular flow cross-section. In this study, we proposed the VPM by a theoretical review of the Poisson equation in order to improve the disadvantages of Chiu's method and verified the applicability by utilizing the velocity data of the automatic discharge measurement system, Wuman, Hangangdaegyo in the Han river and Daecheon in the Mangyung river.
Keywords
Automatic discharge measurement system; Velocity profile method; Isovel distribution; Poisson equation;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 Laenen, A. (1985) Acoustic velocity meter systems, USGS Techniques of Water-Resources Investigations, Book 3.
2 Ministry of Construction and Transportation. (2007) Report of Automatic Discharge Measurement System Construction and Operation, Republic of Korea.
3 Ministry of Land, Transport and Maritime. (2008, 2009, 2010, 2011, 2012) Report of Hydrological Survey (III) Automatic Discharge Measurement System Construction and Operation, Republic of Korea.
4 Ministry of Land, Infrastructure and Transport (2013) Report of Hydrological Survey (III) Automatic Discharge Measurement System Construction and Operation, Republic of Korea.
5 Moramarco, T., Saltalippi, C., and Singh, V.P. (2004) Estimation of mean velocity in natural channels based on Chiu's velocity distribution equation, Journal of Hydrologic Engineering, ASCE, Vol. 9, No. 1, pp. 42-50.   DOI   ScienceOn
6 Morse, B., Richard, M., Hamai, K., Godin, D., Choquette, Y., and Pelletier, G. (2010) Gauging rivers during all seasons using the Q2D velocity index method, Journal of Hydraulic Engineering, ASCE, Vol. 136, No. 4, pp. 195-203.   DOI   ScienceOn
7 Park, J.Y., Oh, B.D., Jeon, S.M., and Kim, J.B. (2006) The Development of the Automatic Discharge Acquisition & Management System(ADAMS) using Ubiquitous Technique, Proceedings of the Korea Water Resources Association Conference, pp. 488-493.   과학기술학회마을
8 Patino, E. and Ockerman, D. (1997) Computation of Mean Velocity in Open Channels Using Acoustic Velocity Meters, U.S. Geological Survey, Open-File Report 97-220.
9 Prandtl, L. (1935) The mechanics of viscous fluids, Aerodynamic Theory, 3(142).
10 Rantz, S.E., et al. (1982b) Measurement and Computation of Streamflow : Volume 2. Computation of Discharge, Water-Supply Paper 2175, U.S. Geological Survey, pp. 285-631.
11 Ruhl C.A. and Simpson M.R. (2005) Computation of Discharge Using the Index-Velocity Method on Tidally Affected Areas. U.S. Geological Survey Scientific Investigations Report 2005-5004.
12 SonTek (2001) ADP Operation Manual.
13 Thompson, J.F. (1985) A survey of dynamically-adaptive grids in the numerical solution of partial differential equations, Applied Numerical Mathematics, Vol. 1, pp 3-27.   DOI   ScienceOn
14 Turnipseed, D.P. (2002) Measurement of tidal flux for the Lower Pearl River and Lake Pontchartrain estuaries of Mississippi and Louisiana using acoustic Doppler velocity technology, Mississippi Water Resources Research Institute, Mississippi State University.
15 Vidmar, P.J. (2002) Application of acoustic Doppler flow profiling sensors to continuously monitor discharge with variable control conditions on the Snake River, Hydraulic Measurements & Experimental Methods, ASCE-IAHR Joint Conference, Estes Park, Colorado, USA(CD-ROM).
16 Chiu, C.-L. (1987) Entropy and probability concepts in hydraulics, Journal of Hydraulic Engineering, ASCE, Vol. 113, No. 5, pp. 583-600.   DOI   ScienceOn
17 Chiu, C.-L., Lin, H.-C., and Mizumura, K. (1976) Simulation of hydraulic processes in open channels, Journal of the Hydraulics Division, ASCE, Vol. 102, No. HY2, pp. 185-206.
18 Chiu, C.-L. and Lin, G.-F. (1983) Computation of 3-D flow and shear in open channel, Journal of Hydraulic Engineering, ASCE, Vol. 109, No. 11, pp. 1424-1440.   DOI
19 Chiu, C.-L. and Chiou, J.-D. (1986) Structure of 3-D flow in rectangular open channels, Journal of Hydraulic Engineering, ASCE, Vol. 112, No. 11, pp. 1050-1068.   DOI   ScienceOn
20 Chiu, C.-L. (1988) Entropy and 2-D velocity distribution in open channels, Journal of Hydraulic Engineering, ASCE, Vol. 114, No. 7, pp. 738-758.   DOI   ScienceOn
21 Chiu, C.-L. and Murray, D.W. (1992) Variation of velocity distribution along nonuniform open-channel flow, Journal of Hydraulic Engineering, ASCE, Vol. 118, No. 7, pp. 989-1001.   DOI
22 Chiu, C.-L. and Said, C.A.A. (1995) Maximum and mean velocities and entropy in open channel flow, Journal of Hydraulic Engineering, ASCE, Vol. 121, No. 1, pp. 26-35.   DOI   ScienceOn
23 Kim, Y.S., Yang, J.R., Choo, T.H., Ko, I.H., and Kim, W. G. (2001) Application of Discharge Measurement Method using Entropy, Proceedings of Korean Society of Civil Engineers Conference, pp. 1-4.
24 Chiu, C.-L. and Tung, N.-C. (2002) Maximum and regularities in open-channel flow, Journal of Hydraulic Engineering, ASCE, Vol. 128, No. 4, pp. 390-398.   DOI   ScienceOn
25 Choo, T.H. (2002) The Improvement of Gate Discharge Estimation Method in Nakdong Estuary Barrage -Application of an Entropy Based Method for Determining the Discharge-, Journal of Korean Society of Civil Engineers, Vol. 22, No. 4-B, pp. 485-494.
26 International Organization for Standardization (2010) Hydrometry-Guidelines for the application of acoustic velocity meters using the Doppler and echo correlation methods, ISO 15769.
27 Kim, D.G., Kim, W., Yoon, K.S., and Cha, J.H. (2002) Application of Ultrasonic Current Meter in Tancheon, Proceedings of the Korea Water Resources Association Conference, pp. 1001-1006.
28 Kim, C.W., Lee, M.H., Cheong, S.H., and Kim, K.J. (2007) Development of Real-time Automatic Discharge Acquisition & Remote-control System, Proceedings of the Korea Water Resources Association Conference, pp. 551-555.   과학기술학회마을
29 Kim, C.W., Lee, M.H., Yoo, D.H., and Jung, S.W. (2008) Discharge Computation in Natural Rivers Using Chiu's Velocity Distribution and Estimation of Maximum Velocity, Journal of Korea Water Resources Association, Vol. 41, No. 6, pp. 575-585.   DOI   ScienceOn
30 Kim, C.Y. (2010) Development of Velocity Profile Method for Streamflow Estimation and Its Applicability. Ph.D. dissertation, University of Inha. Incheon, Republic of Korea.