onlinerouting01:   Linear reservoir routing   ⇒   S = K O


Formulas

O2 = C0I2 + C1I1 + C2O1

C0 = (Δt/K)/[2+(Δt/K)]        C1 = C0        C2 = [2-(Δt/K)]/[2+(Δt/K)]

Reference


SAMPLE INPUT DATA:

Time interval Δt (hr):     1

Storage constant K (hr):     2

Number of inflow hydrograph ordinates n:     16

Inflow hydrograph ordinates Qi:     100,150,250,400,800,1000,900,700,550,400,300,250,200,150,120,100


SAMPLE OUTPUT:

Ratio Δt/K =   0.5

Time interval Time (hr) Inflow C0I2 C1I1 C2I1 Outflow
0 0 100 - - - 100
1 1 150 30 20 60 110
2 2 250 50 30 66 146
3 3 400 80 50 87.6 217.6
4 4 800 160 80 130.56 370.56
5 5 1000 200 160 222.336 582.336
6 6 900 180 200 349.402 729.402
7 7 700 140 180 437.641 757.641
8 8 550 110 140 454.585 704.585
9 9 400 80 110 422.751 612.751
10 10 300 60 80 367.65 507.65
11 11 250 50 60 304.59 414.59
12 12 200 40 50 248.754 338.754
13 13 150 30 40 203.252 273.252
14 14 120 24 30 163.951 217.951
15 15 100 20 24 130.771 174.771
16 16 100 20 20 104.863 144.863
17 17 100 20 20 86.918 126.918
18 18 100 20 20 76.151 116.151
19 19 100 20 20 69.69 109.69
20 20 100 20 20 65.814 105.814
21 21 100 20 20 63.489 103.489
22 22 100 20 20 62.093 102.093
23 23 100 20 20 61.256 101.256
24 24 100 20 20 60.754 100.754
25 25 100 20 20 60.452 100.452


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