Breach flow formula (Water Overlay): Difference between revisions

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Flow through [[Breach (Water Overlay)|breach]]es is calculated based on the [[Weir formula (Water Overlay)|weir formula]], including the consideration between free flow and submerged flow situations.
Flow through [[Breach (Water Overlay)|breach]]es is calculated based on the [[Weir formula (Water Overlay)|weir formula]], including the consideration between free flow and submerged flow situations.
The weir formula is supplied with the breach width (as stand-in for the weir width), which is always calculated with the [[Breach growth formula (Water Overlay)|breach growth formula]] before calculating the weir flow.
The weir formula is supplied with the breach width (as stand-in for the weir width), which is always calculated with the [[Breach growth formula (Water Overlay)|breach growth formula]] before calculating the weir flow. The downstream water level can optionally be measured with an additionally configured [[Breach level area_(Water_Overlay)|Breach Level Area]], or an automatically placed


For the entry area, the area where the water originates from, the following also applies:
For the entry area, the area where the water originates from, the following also applies:
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Where:
Where:
* Δw = The water flow which takes place (out of the virtual external water source)
* Δw = The calculated water flow which takes place, based on the weir formula.
* cell = Cell size
* cell = Cell size
* w<sub>e,t</sub> = The [[Surface water level formula (Water Overlay)|water level]] of the entry area at time t.
* w<sub>e,t</sub> = The [[Surface water level formula (Water Overlay)|water level]] of the entry area at time t.

Revision as of 08:15, 21 June 2023

Flow through breaches is calculated based on the weir formula, including the consideration between free flow and submerged flow situations. The weir formula is supplied with the breach width (as stand-in for the weir width), which is always calculated with the breach growth formula before calculating the weir flow. The downstream water level can optionally be measured with an additionally configured Breach Level Area, or an automatically placed

For the entry area, the area where the water originates from, the following also applies:

Each timestep, the external water level is changed based on the amount of water flowing in or out.

t=0 we,t = we,0
otherwise we,t = we,t-1 - ( (Δw * cell) / Ae )

Where:

  • Δw = The calculated water flow which takes place, based on the weir formula.
  • cell = Cell size
  • we,t = The water level of the entry area at time t.
  • we,0 = The water level of the entry area; In case of an external area: EXTERNAL_WATER_LEVEL of the breach.
  • Ae = The size of in the entry area; In case of an external area: EXTERNAL_AREA of the breach.

Notes

  • The water level we cannot become lower than the surface height se, defined by EXTERNAL_SURFACE_LEVEL in case of an external entry area. In case of an input area within the project, the surface height is determined per grid cell.

Related

The following topics are related to this formula.

Features
Breach
Formulas
Weir formula
Breach growth formula
Models
Surface model
Water Module
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Water Module
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Tutorials
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Overview
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Theory
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Benchmarks
Models
Surface • Ground • Rain • Evaporation • Infiltration • Elevation • Breach • Sewer • Storage • Tracer flow • Border • Order
Model formulas
Timestep • Season • Surface water level • Groundwater level
Flow formulas
Surface flow • Surface infiltration • Ground flow • Ground infiltration • Surface evaporation • Ground evaporation • Ground bottom flow
Hydraulic structure formulas
Culvert • Weir • Breach growth • Breach flow • Pump • Sewer Overflow • Inlet • Drainage
Related
Building attributes • Hydrological features • Hydraulic structures •  Terrain attributes • Model attributes • Results • Simulation data
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