Detailed Overview of kinwave_execute Function in SWMM5 🌊🖥️🔍
The kinwave_execute function in EPA SWMM5, updated in version 5.2 (Build 5.2.0), is a key component for calculating the kinematic wave flow routing in conduits. Let's dive into a detailed exploration with added emojis for clarity:
Function Prototype 📝
- Input:
j(link index)*qinflow(inflow at current time in cubic feet per second - cfs)tStep(time step in seconds)
- Output:
*qoutflow(outflow at current time in cfs)
- Returns: Number of iterations used
- Purpose: To determine the outflow over a time step given the flow entering a conduit using Kinematic Wave flow routing.
Flow Diagram 🌊➡️🔄
Initial Checks:
- Non-Conduit Link: No routing needed;
*qoutflowequals*qinflow. - Dummy Cross-Section: No routing performed.
- Non-Conduit Link: No routing needed;
Module-Level Variables Assignment:
pXsect: Points to the link's cross-section.Qfull: Full flow capacity of the link.Afull: Full area of the cross-section.Beta1: Ratio of conduit's beta coefficient toQfull.
Normalization of Flows and Areas:
- Previous flows (
q1,q2) and inflow (qin) are normalized againstQfull. - Previous areas (
a1,a2) are normalized againstAfull. - Inlet area (
ain) is determined based on the inflow.
- Previous flows (
Flow and Area Checks:
- No Flow Condition: If
qinis tiny andq2is also small,qoutandaoutare set to zero. - Solve Continuity Equation:
- Constant factors (
dxdt,dq,C1,C2) are computed. aoutis initially guessed from the previous time step's value.- The continuity equation is solved for
aout.
- Constant factors (
- No Flow Condition: If
Error Handling: Reports an error if the continuity equation isn't solved.
Compute Normalized Outlet Flow: Based on
aout.Save New Flows and Areas: Update conduit properties with new flow and area values.
Return: The number of iterations used or an error code.
Function's Role in SWMM5 🏗️💧🖥️
kinwave_executeis crucial for modeling how water moves through drainage networks, especially in urban flood scenarios.- Helps in predicting the response of drainage systems to various rainfall events.
Implementation Details 🔍🔧
- Uses advanced mathematical concepts like continuity equations and Newton-Raphson root finding.
- Integral part of the SWMM5 engine, contributing to its robustness in simulating stormwater runoff and drainage systems.
In summary, kinwave_execute function is a core computational element in SWMM5, applying kinematic wave principles to predict flow dynamics in stormwater drainage systems, crucial for urban hydrology modeling and flood management. 🌊🖥️🧑💻📊🛠️🌧️🔍🌍🔄💧📈🚀🔬🌆