online_series_uh_cascade:   Series of dimensionless CRL unit hydrograph 


C1 = C/(2+C)           C2 = (2-C)/(2+C)

Qj+1n+1 = 2C1(Qaverage)j + C2Qj+1n



This program calculates a series of ten (10) dimensionless unit hydrographs by the cascade of linear reservoirs, given a Courant number C (C = tr/ K).

The value tr is the unit hydrograph duration, in hours. The value K is the reservoir storage constant, in hours.

Dimensionless unit hydrographs are calculated for N, the number of linear reservoirs, varying between N = 1 to N = 10.

The recommended range of input Courant number is:  0.1 ≤ C ≤ 2. An input value outside of this range will trigger an error message and stop execution.

The dimensionless unit hydrograph has dimensionless time t* as abscissa and dimensionless discharge Q* as ordinate.

The dimensionless time is t* = t / tr, in which tr is the duration of the unit hydrograph, in hours.

The dimensionless discharge is Q* = Q / Qm, in which Qm = 2.777778 (A / tr), is the maximum attainable discharge (runoff concentration only), in m3/s. In this formula, basin area A is in km2.

Thank you for running online_series_uh_cascade.   [090517]