수렴형 선상유역에서 운동파의 수치해 및 해석해 = Numerical and Analytical Solutions for Kinematic Wave Flow in the Converging Fan Shaped Basins

다국어 초록 (Multilingual Abstract)

For kinematic wave flood routing in a converging fan-shaped basin, a storage equation was derived in the present study with its analytical solution. The derived storage equation was then discretized as a finite difference equation. A numerical solution of the discretized, nonlinear finite difference equation was obtained by the Newton-Raphson method. The comparison of the analytical solution derived in the present study with the numerical solution showed that the analytical solution may overcome the shortcomings of previous results where the flood wave rising curve rose more slowly than the actual rising. In addition, the analytical solution derived in the present study was used to analyze the sensitivity of the variables determining the basin roughness, basin slope, and basin shape, such as the coefficient , with respect to the outflow hydrograph. The sensitivity analysis results showed that the rising part of the hydrograph rose more slowly when the roughness coefficient was larger and the basin slope was slower. The results also showed that the peak discharge decreased and the concentration time also decreased as the coefficient  was increased.

참고문헌 (Reference)

1 Mukopadhyay, B., 17 (17): 839-868, 2003

2 Guo, J.C.Y., 23 (23): 91-96, 1998

3 Hsu, E.S.C., 06016009-, 2016

4 Guo, J.C.Y., 04014036-, 2014

5 Sing, V.P., 4 (4): 117-124, 1981

6 Hsu, M.H., 234 : 21-37, 2000

7 김대근, "조위의 영향을 고려한 도심지 배수유역에서의 범람모의" 대한상하수도학회 23 (23): 711-717, 2009

8 김대근, "선상유역에서 운동파 홍수추적방법의 민감도 분석" 공학기술연구원 8 (8): 283-287, 2015

9 Huber, W.C., "Stormwater managemet model, Ver. 4: User's manual" USEPA 1988

10 Spiegel, M.R., "SCHAUM's Outline of Theory and Problems of Mathematical Handbook of Formulas and Tables" McGraw-Hill 1976

11 Kreyszig, E., "Advanced Engineering Mathematics 9th Ed" John Wiley & Sons 2006