online_muskingum_cunge_convergence_ratios:    Convergence ratios of the Muskingum-Cunge method

INPUT DATA:            [How to use]

Weighting factor X :    

    [Recommended range:  0.0 ≤ X ≤ 0.5]

Spatial resolution Lx :    

    [Recommended range:  20 ≤ Lx ≤ 100]

Courant number C :    

    [Recommended range:  0.1 ≤ C ≤ 4.0]


   
Formulas:

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 - practical

            

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