Routing Coefficients
Computed Muskingum coefficients used in the routing equation.
C0
-
C1
-
C2
-
Minimum Δt
-
Maximum Δt
-
C0 + C1 + C2
-
Formula Reference
Standard Muskingum routing equations used in the software.
Muskingum Routing Equation
O₂ = C0 I₂ + C1 I₁ + C2 O₁
C0 = (-KX + 0.5Δt) / (K - KX + 0.5Δt)
C1 = (KX + 0.5Δt) / (K - KX + 0.5Δt)
C2 = (K - KX - 0.5Δt) / (K - KX + 0.5Δt)
Stability: 2KX ≤ Δt ≤ 2K(1 - X)
Parameter Guidance
Practical interpretation for first software development.
- K represents a travel-time or storage-time parameter for the reach.
- X is a weighting factor. It is commonly between 0 and 0.5.
- Δt must satisfy the stability condition for reliable routing.
- If Δt is too small or too large relative to K and X, the software should warn the user.
- For the first MVP, K and X are entered manually. Later, K may be estimated from reach length, slope, roughness, or calibration.
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