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

Poisson 방정식을 이용한 유속분포법의 등속선 작성 및 적용

  • 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)
  • 차준호 (한양대학교 대학원 건설환경공학과) ;
  • 김창완 (리버텍연구소) ;
  • 조용식 (한양대학교 공과대학 건설환경공학과)
  • Received : 2014.08.04
  • Accepted : 2014.11.05
  • Published : 2014.12.31

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.

최근 우리나라에서는 이동시간차방식 초음파유속계(UVM; Ultrasonic Velocity Meter)나 도플러방식 초음파유속계(ADVM; Acoustic Doppler Velocity Meter)로 측정된 유속을 활용하여 하천유량을 산정하는 자동유량측정시설이 활발히 도입되고 있다. 하천유량을 산정하는 방법으로는 측정된 지표유속과 평균유속의 관계를 통해 흐름단면의 평균유속을 산정하는 지표유속법(IVM; Index Velocity Method), 일부 영역의 측정유속과 유속분포의 관계를 통해 흐름단면의 유속분포를 산정하는 유속분포법(VPM; Velocity Profile Method)이 있다. 유속분포법에 활용되고 있는 Chiu(1988)의 2차원 유속분포는 형상 매개변수가 많고 직사각형 이외의 흐름단면에서는 정확한 등속선 분포를 얻기가 곤란한 단점이 있다. 본 연구에서는 이러한 단점을 개선하기 위해 Poisson 방정식에 의한 유속분포법을 이론적 검토를 통해 제시하고, 한강 수계의 우만 지점과 한강대교 지점, 만경강 수계의 대천 지점에 적용하여 활용성을 검토하였다.

Keywords

Acknowledgement

Supported by : 한국연구재단

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