Background You have been contracted to investigate the behaviour of a large car park when subjected to a short duration

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Background
You have been contracted to investigate the behaviour of a large
car park when subjected to a short duration high intensity storm
rainfall event. As a first step you have decided to develop a
computer simulation of the water depths and flow rates when
subjected to a specified rainfall pattern. After making some
reasonable assumptions you have decided that the kinematic wave
approximation is sufficient for this task.
The Car Park
For study purposes it has been deemed sufficient to represent
the behaviour of the car park with a one-dimensional hydraulic
model, in effect reducing the two-dimensional car park to a unit
flow width running down the predominant slope direction.
The specifications are as follows:
The length of the carpark area is determined by the last digit
of your student number:
𝐿=120+(5×𝑁𝐿𝑎𝑠𝑡)
(take Nlast =7)
Manning’s n = based on your research (assume a constant value of
Manning’s roughness n across the carpark. You should justify your
choice)
Field Slope = Drop of 0.12 m over length L
Freely draining at downstream end.
Build your model (using spreadsheet or any programming language)
for solving the
kinematic wave equations for computing depth and flow rate
resulting from a
storm event. You must configure your model according to the
specifications above

Validate your mathematical model by modelling the runoff from a
single plane area (constant slope and roughness) under steady
rainfall and compare with the theoretical results for steady
rainfall).
You are required to check all three conditions

Modify the model to accommodate the design storm hyetograph. Then
use this
program to calculate water depth and flow rate along the unit width
channel for
the given or your chosen rainfall event.

Write up all equations, model development, validation, results and
discussion in a report format.