Flood routing Muskingum worksheet calculator

Calculate routed outflow samples and muskingum coefficients [C0,C1,C2] JSON with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use routed outflow samples and muskingum coefficients [C0,C1,C2] JSON to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Inflow samples (m³/s)
1,3,5,3,1
Muskingum K (hours)
1
Muskingum X
0.2
Timestep (hours)
1
Initial outflow (m³/s)
1
Routed outflow samples (JSON)
[1,1.46153846154,3.10650887574,4.10150204825,2.79265431883]
Muskingum coefficients [C0,C1,C2] JSON
[0.230769230769,0.538461538462,0.230769230769]

Try another scenario

Inflow samples (m³/s)
[2, 3, 5, 3, 1]
Muskingum K (hours)
1
Muskingum X
0.2
Timestep (hours)
1
Initial outflow (m³/s)
1
Routed outflow samples (JSON)
[1,2,3.23076923077,4.13017751479,2.79927173418]
Muskingum coefficients [C0,C1,C2] JSON
[0.230769230769,0.538461538462,0.230769230769]
Calculation method

Calculation method

Routed outflow samples (JSON)

Classical linear Muskingum recurrence; require nonnegative coefficients (2KX≤Δt≤2K(1−X)).

Muskingum coefficients [C0,C1,C2] JSON

Classical linear Muskingum recurrence; require nonnegative coefficients (2KX≤Δt≤2K(1−X)).

Symbols and units
a
Inflow samples (m³/s)
b
Muskingum K (hours)
c
Muskingum X
d
Timestep (hours)
e
Initial outflow (m³/s)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • User-supplied measurements and assumptions; Classical linear Muskingum recurrence; require nonnegative coefficients (2KX≤Δt≤2K(1−X)). Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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