수렴형 선상유역에서 운동파의 수치해 및 해석해
Numerical and Analytical Solutions for Kinematic Wave Flow in the Converging Fan Shaped Basins
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초록
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.
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 (11)
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