Title: Flood Routing
1Aim
- Computer modelling has become an integral part of
the decision making process for water engineers
and managers - Decision support systems
- Practicalities of applying a computer model very
much easier than previously - false confidence. - Understand some basic principles of mathematical
modelling - Understanding of the any simplifications that are
made to the underlying physical processes.
(fitness for purpose) - Understand how you might combine models to model
the impacts of change in a catchment.(integrated
approach)
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3Approaches
- Depend on the problem
- We are interested in flows only
- Not particularly concerned about water levels
- Distributed flow routing
- Prof. Penders course
- aimed at obtaining details of water levels
- physics based but dependent on the channel type
- HEC-RAS steady flows based on conservation of
energy - St-Venant for un-steady
- solve using a finite difference equation
- Lumped routing
- simplification of the physics
- reduced set of parameters
4Flow Routing
- Physics
- Conservation of mass
- Conservation of momentum (Newtons Second Law)
5Pressure force term
Local acceleration term
Convective acceleration term
Gravity force term
Friction force term
6Propagation of disturbance
7I-Q
Swedge Storage in reach associate with wedge set
up by flow I- Q
Q
SQ Storage in reach associate with flow Q
Q
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9Large Scale Hydrological Modelling
Cloud Physics Mass and Energy Fluxes
Hydrology
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17Each Cell ? 350km2
18River Network
- St Venant Equations (conservation of mass and
momentum) - For most routing problems these can be
approximated by
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20Simulating Runoff from a grid cell
21Terrain map for a typical cell
Spatial heterogeneity in runoff is enormous
Can you capture some of the heterogeneity without
sub-dividing the domain ?
22Groundwater Discharge aSb Where a and b are
constants that are related to the average
conductivity and hillslope length
232000 cells simulating runoff, soil moisture,
evaporation etc. The runoff routed using the
channel routing model.
24Weather radar stations
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33Large Scale Modelling
- The research problems
- Scale
- Computational Efficiency
- Parameterisation