Muskingum Flood Routing Studio Module

MC-E Module: Muskingum-Cunge Empirical Routing

This module is part of the Muskingum Flood Routing Studio. It applies the MC-E method for ungauged river reaches, estimating hydraulic variables, Muskingum K and X parameters, routing coefficients, routed outflow hydrographs, hydrograph volume, baseflow, direct runoff, and hydrological statistics.

Selected routing method: MC-E Muskingum-Cunge Empirical Method

This page is now treated as a routing-method module inside the main Muskingum Flood Routing Studio. It shares the same modelling workflow concept as Geometry, Compute, Hydrograph, Results, and Project Data. MC-E saved runs now use the same private workspace protection used by Geometry, Compute, Hydrograph, Results, and Project Data.

MC-E Module Input

MC-E Module Data Source

This MC-E module is designed to use the same private workspace data prepared in Geometry, Compute, Hydrograph, and Results. Manual inputs are kept only as an advanced override.

Reach source Not loaded yet
Hydrograph source Not loaded yet
Time step Not loaded yet
Module status Waiting for workspace data
Normal workflow: prepare reach and hydrograph data in the main workspace, then load them here. Use advanced manual inputs only for testing, research comparison, or independent MC-E experiments.
Workspace data source: MC-E should use the same private workspace data used by Geometry, Compute, Hydrograph, and Results. Click Load Data from Workspace to import the selected reach and latest saved hydrograph.
Use decimal slope, not percent. Example: 0.007 means 0.7%.
Examples: 1 hour, 2 hours, 6 hours, 66 hours, or 1 day.
Leave empty to use minimum inflow.
Leave empty to use peak inflow.
This ratio controls Vw = ratio × Vav. For exact trapezoidal geometry, we will later build the MC-X module.
Use 1 for 100%, 0.5 for 50%, 0.25 for 25%, or 0 to exclude it.
Optional lateral inflow entering at the upstream start of the routed reach. For testing, the Tugela example is repeated here.
Enter one inflow value per line. You may also paste two columns such as: time, inflow.
Recommended hydrograph file format
step,inflow_m3s,observed_outflow_m3s 0,20,20 1,35,28 2,80,60 3,140,105 4,110,115 5,70,85 6,40,50 7,25,30
The first column is only the sequence number. The real time interval is controlled by the selected time step above. For example, if Δt = 2 hours, then step 3 means 6 hours after the start.
Format: step, inflow, observed outflow.
Format: inflow only, or step, inflow.
If observed outflow is provided, the software calculates RMSE, peak error, timing error, volume error, and efficiency.
Optional lateral inflow manager
Use this section when tributaries, drains, springs, stormwater inflows, or any side inflow enters the main river reach. Only one lateral inflow editor is shown at a time to keep the workspace clean and professional.
Qtotal(t) = Qmain(t) + Qlateral(t)

Lateral Inflow 1

Enter the location and hydrograph for the first side inflow.

Use in routing
Name
Entry distance from upstream [m]
Multiplier
1 = 100%, 0.5 = 50%, 0 = not used.
Hydrograph [m³/s]

Lateral Inflow 2

Enter the location and hydrograph for the second side inflow.

Use in routing
Name
Entry distance from upstream [m]
Multiplier
1 = 100%, 0.5 = 50%, 0 = not used.
Hydrograph [m³/s]

Lateral Inflow 3

Enter the location and hydrograph for the third side inflow.

Use in routing
Name
Entry distance from upstream [m]
Multiplier
1 = 100%, 0.5 = 50%, 0 = not used.
Hydrograph [m³/s]
MC-E calculation basis
Q₀ = Qb + 0.5(Qp − Qb)
P = 4.71√Q₀
y = [(Q₀n) / (0.508P√S)]³ᐟ⁵
R = 2y / 3
A = 2yP / 3
Vav = (1/n)R²ᐟ³√S
Vw = celerity ratio × Vav
K = ΔL / Vw
X = 0.5 − Q₀ / (2SWVwΔL)

MC-E Module Results and Hydrological Analysis

Enter the reach data and inflow hydrograph, then click Calculate.
The MC-E graph is now displayed on the Results page after calculation and saving.
Open Saved MC-E Graph in Results Page
Step Time [s] Time Main Inflow I [m³/s] Total Lateral Inflow [m³/s] Combined Inflow [m³/s] Computed Outflow O [m³/s] Observed Outflow [m³/s]
No calculation yet.
Parameter Value Unit / Note
No coefficients yet.