Muskingum Flood Routing Calculator
Bounded uniform-step linear Muskingum recursion with nonnegative coefficient guard and explicit opening outflow, no calibratedK/X inference or flood warning. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.
Description
Muskingum routing uses a storage-time parameter and weighting to advance an outflow sequence.
Muskingum routing uses a storage-time parameter and weighting to advance an outflow sequence.1
Nonnegative routing coefficients require a compatible uniform time step. Use this tool to calculate muskingum Flood Routing from the supplied measurements and assumptions.
When to use Muskingum Flood Routing Calculator
Use this tool to calculate muskingum Flood Routing from the supplied measurements and assumptions. Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
How to use Muskingum Flood Routing Calculator and understand its results
- Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
- Enter observedUniformStepInflowsM3Second, initialOutflowM3Second, storageKSeconds, weightingX, timeStepSeconds, using the field meanings and rules below, then run the tool.
- Read muskingumRoutedOutflowsM3Second. Interpret the fields using their units, signs and evidence conventions below.
- If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedUniformStepInflowsM3Second | Observed uniform step inflows m3 second | list of number | Required |
| initialOutflowM3Second | Initial outflow m3 second | number | Required |
| storageKSeconds | Storage k seconds | number | Required |
| weightingX | Weighting x | number | Required |
| timeStepSeconds | Time step seconds | number | Required |
Enter a nonempty nonnegative inflow series, nonnegative initial outflow, positive K and uniform step in seconds and X in [0,0.5]. Require 2KX≤step≤2K(1−X). Set coefficients from the formula and return a list beginning with initial outflow; first inflow enters only the first recurrence at index 1. A one-sample inflow returns only the initial value. No parameter fitting or variable time step is supplied.
den=2(1−X)+step/K; c0=(step/K−2X)/den; c1=(step/K+2X)/den; c2=(2(1−X)−step/K)/den; O_i=c0I_i+c1I_(i−1)+c2O_(i−1) Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| muskingumRoutedOutflowsM3Second | Muskingum Routed Outflows M3 Second; follow the units, sign, ordering and evidence convention stated above | list of number |
{
"input": {
"observedUniformStepInflowsM3Second": [
0,
10,
0
],
"initialOutflowM3Second": 0,
"storageKSeconds": 1,
"weightingX": 0.25,
"timeStepSeconds": 1
},
"output": {
"muskingumRoutedOutflowsM3Second": [
0,
2,
6.4
]
}
}Limitations and assumptions
Nonnegative routing coefficients require a compatible uniform time step. Interpretation depends on the units, sampling scope and exact model described above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.
Alternative or Complementary methods
Use Unit Hydrograph Peak Calculator for this related task: A unit hydrograph describes discharge response on an explicitly stated rainfall-depth basis.
Use Snyder Unit Hydrograph Calculator when its separate inputs and assumptions fit the question: Snyder-style hydrograph relations use basin dimensions and calibrated coefficients.
References
-
Muskingum Flood Routing Calculator — tool.io
Similar or alternative tools
- Unit Hydrograph Peak Calculator
A unit hydrograph describes discharge response on an explicitly stated rainfall-depth basis.
- Snyder Unit Hydrograph Calculator
Snyder-style hydrograph relations use basin dimensions and calibrated coefficients.