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Meixner functions for derivation of the unit hydrograph |
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| Authors: | Vijay P Singh Roger C McCann |
| Institution: | Department of Civil Engineering, Louisiana State University, Baton Rouge, LA 70803, USA;Department of Mathematics, Mississippi State University, Mississippi State, MS 39762, USA |
| Abstract: | The Meixner functions are utilized to relate the effective rainfall, the direct runoff and the unit hydrograph through linkage equations. The linkage equations are then employed to derive the unit hydrograph for given rainfall-runoff data on a small agricultural watershed. These functions are tested with regard to their ability to reproduce and predict the direct runoff hydrograph. The Meixner functions are found to be an effective analytical tool for hydrograph synthesis. Further, they compare well with the least squares and linear programming methods of the unit hydrograph derivation. |
| Keywords: | convolution direct runoff effective rainfall hydrograph synthesis instantaneous unit hydrograph Laguerre polynomials least squares linear programming Meixner functions Meixner polynomials rainfall runoff convolution summation unit hydrograph watershed |
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