online_muskingum_cunge_convergence_ratios_practical:    M-C convergence ratios - practical

INPUT DATA:            [How to use]

Mean velocity u :    

    m/s

Mean flow depth d :    

    m

Mean channel slope So :    

    m/m

Rating exponent β :    

    [Leave blank for default β = 5/3]

Flood wave time-of-rise tr :    

    hr

Reach length Δx :    

    m

Time interval Δt :    

    hr



INTERMEDIATE OUTPUT:

Spatial resolution Lx :  0

Courant number C :  0

Cell Reynolds number D :  0

Weighting factor X :  0

   
Formulas:

T = 2tr

c = βu

L = cT

q = ud

C = ctx)

D = q/(SocΔx)

X = (1/2)(1-D)


σΔx = 2π/(Lx)

p = cos(σΔx)

q = sin(σΔx)

R = X + 0.5 C

S = R - C

M = (1 - p)(1 - 2S)C

N = qC

P = 1 - 2[(1 - p)(1 - S)S]

R1 = [(P - M)2 + N 2]1/2 / P

R2 = [1/(C σΔx)] tan-1[N/(P - M)]

Reference


OUTPUT:

Amplitude convergence ratio R1 :  0

Phase convergence ratio R2 :  0

Go to ⇒  Online Muskingum-Cunge convergence ratios

            

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