online_routing_clark:   Comparison of Clark's unit hydrograph with Ponce's 1989 version

 Formulas Q = Ij * Ak             Convolution (See text example). O2 = C0I2 + C1I1 + C2O1        C0 = (Δt/K)/[2+(Δt/K)]C1 = C0        C2 = [2-(Δt/K)]/[2+(Δt/K)]
 References

INPUT DATA:

Unit hydrograph duration tr (hr):     2          Time interval Δt (hr):     1          Storage constant K (hr):     2

Number of increments of [watershed] drainage area:     4

Increments of [watershed] drainage area Ak (km2):     10,30,20,40

SAMPLE OUTPUT:

 Time Interval Time (hr) C0I2 (Ponce's Clark)(km2-cm/hr) C1I1 (Ponce's Clark)(km2-cm/hr) C2O1 (Ponce's Clark)(km2-cm/hr) Outflow (Ponce's Clark)(km2-cm/hr) C0I2 (Clark's original)(km2-cm/hr) C1I1 (Clark's original)(km2-cm/hr) C2O1 (Clark's original)(km2-cm/hr) Outflow (Clark's original)(km2-cm/hr) Outflow (Ponce's Clark)(m3/s) Outflow (Clark's original)(m3/s) 0 0 --- --- --- 0 --- --- --- 0 0 0 1 1 1 0 0 1 1 1 0 2 2.778 5.556 2 2 4 1 0.6 5.6 4 4 1.2 9.2 15.556 25.556 3 3 5 4 3.36 12.36 5 5 5.52 15.52 34.333 43.111 4 4 6 5 7.416 18.416 6 6 9.312 21.312 51.156 59.2 5 5 4 6 11.05 21.05 4 4 12.787 20.787 58.471 57.742 6 6 0 4 12.63 16.63 0 0 12.472 12.472 46.194 34.645 7 7 0 0 9.978 9.978 0 0 7.483 7.483 27.716 20.787 8 8 0 0 5.987 5.987 0 0 4.49 4.49 16.63 12.472 9 9 0 0 3.592 3.592 0 0 2.694 2.694 9.978 7.483 10 10 0 0 2.155 2.155 0 0 1.616 1.616 5.987 4.49 11 11 0 0 1.293 1.293 0 0 0.97 0.97 3.592 2.694 12 12 0 0 0.776 0.776 0 0 0.582 0.582 2.155 1.616 13 13 0 0 0.466 0.466 0 0 0.349 0.349 1.293 0.97 14 14 0 0 0.279 0.279 0 0 0.209 0.209 0.776 0.582 15 15 0 0 0.168 0.168 0 0 0.126 0.126 0.466 0.349 16 16 0 0 0.101 0.101 0 0 0.075 0.075 0.279 0.209 17 17 0 0 0.06 0.06 0 0 0.045 0.045 0.168 0.126 18 18 0 0 0.036 0.036 0 0 0.027 0.027 0.101 0.075 19 19 0 0 0.022 0.022 0 0 0.016 0.016 0.06 0.045 20 20 0 0 0 0 0 0 0 0 0 0

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