Inlet formula (Water Overlay): Difference between revisions

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[[inlet (Water Overlay)|Inlet]]s are hydraulic structures can pump water in and out of the project area and are connected with a water body outside the project area.__NOTOC__
[[inlet (Water Overlay)|Inlet]]s are hydraulic structures can pump water in and out of the project area and are connected with a water body outside the project area.__NOTOC__


The amount flowing in or out of inlets is calculated for the cell the inlet resides on.
The amount flowing in or out of {{Inlets}} is calculated for the cell the {{Inlet}} resides on.


''Case 1: '''Inlet''':''<br>
''Case 1: '''Inlet''':''<br>
When calculating inlets, first the capacities are calculated.
When calculating {{Inlets}}, first the capacities are calculated.


If a lower threshold <math>T_{l,t}</math> is defined:
If a lower threshold <math>T_{l,t}</math> is defined:
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Where:
Where:
* w<sub>t</sub> = The [[Surface water level formula (Water Overlay)|water level]] on the surface relative to {{datum}}, at time t.
* <math>w_t</math> = The [[Surface water level formula (Water Overlay)|water level]] on the surface relative to {{datum}}, at time t.
* T<sub>l,t</sub> = The [[Lower threshold (Water Overlay)|LOWER_THRESHOLD]] of the inlet at time t.
* <math>T_{l,t}</math> = The [[Inlet lower threshold (Water Overlay)|LOWER_THRESHOLD]] of the {{Inlet}} at time t.
* T<sub>u,t</sub> = The [[Upper threshold (Water Overlay)|UPPER_THRESHOLD]] of the inlet at time t.
* <math>T_{u,t}</math> = The [[Inlet upper threshold (Water Overlay)|UPPER_THRESHOLD]] of the {{Inlet}} at time t.
* q<sub>t</sub> = The [[Inlet q (Water Overlay)|INLET_Q]] of the inlet at time t.
* <math>q_t</math> = The [[Inlet q (Water Overlay)|INLET_Q]] of the {{Inlet}} at time t.
* Δt = Computational timestep.
* <math>\Delta t</math> = Computational [[Timestep formula (Water Overlay)|timestep]].
* Q<sub>total</sub> = The [[Inlet capacity (Water Overlay)|INLET_CAPACITY]] of the inlet.
* <math>Q_{total}</math> = The [[Inlet capacity (Water Overlay)|INLET_CAPACITY]] of the {{Inlet}}.


* Q<sub>0..n</sub> = The calculated previous amounts of flow.
* <math>Q_{0..n}</math> = The calculated previous amounts of flow.
* Q<sub>lth</sub> = The desired lower water level at the inlet's location, based on the [[Lower threshold (Water Overlay)|LOWER_THRESHOLD]] of the inlet.
* <math>Q_{lth}</math> = The desired lower water level at the {{Inlet}}'s location, based on the [[Inlet lower threshold (Water Overlay)|LOWER_THRESHOLD]] of the {{Inlet}}.
* Q<sub>uth</sub> = The desired upper water level at the outlet's location, based on the outlet's [[Upper threshold (Water Overlay)|UPPER_THRESHOLD]] of the inlet.
* <math>Q_{uth}</math> = The desired upper water level at the outlet's location, based on the outlet's [[Inlet upper threshold (Water Overlay)|UPPER_THRESHOLD]] of the {{Inlet}}.
* Q<sub>t</sub> = The amount of water inflow (or outflow when negative) possible based on the [[Inlet q (Water Overlay)|INLET_Q]] of the inlet and timestep Δt.
* <math>Q_t</math> = The amount of water inflow (or outflow when negative) possible based on the [[Inlet q (Water Overlay)|INLET_Q]] of the {{Inlet}} and timestep <math>\Delta t</math>.
* Q<sub>c</sub> = The total amount of water inflow (or outflow when negative) allowed based on the total capacity of the inlet.
* <math>Q_c</math> = The total amount of water inflow (or outflow when negative) allowed based on the total capacity of the {{Inlet}}.


* A = Size of the inlet/outlet area in m<sup>2</sup>, based on the amount of cells and cell size. Current implementation only has one cell.
* <math>A</math> = Size of the {{Inlet}}/outlet area in m<sup>2</sup>, based on the amount of cells and cell size. Current implementation only has one cell.
* Δw = The amount of water flow which takes place.
* <math>\Delta w</math> = The amount of water flow which takes place.


==Related==
==Related==

Latest revision as of 13:09, 5 March 2024

Inlets are hydraulic structures can pump water in and out of the project area and are connected with a water body outside the project area.

The amount flowing in or out of Inlets is calculated for the cell the Inlet resides on.

Case 1: Inlet:
When calculating Inlets, first the capacities are calculated.

If a lower threshold is defined:

If a positive inlet q Qt is defined:

If a capacity Qtotal is defined:

After calculating the capacities, the actual water inflow is calculated. If any of the terms are undefined, they are not included.

Case 2 Outlets:
When calculating outlets, first the capacities are calculated.

If an upper threshold Tu,t is defined:

If a negative inlet q Qt is defined:

If a capacity Qtotal is defined:

After calculating the capacities, the actual water ouflow is calculated. If any of the terms are undefined, they are not included.

Where:

  • = The water level on the surface relative to datum, at time t.
  • = The LOWER_THRESHOLD of the Inlet at time t.
  • = The UPPER_THRESHOLD of the Inlet at time t.
  • = The INLET_Q of the Inlet at time t.
  • = Computational timestep.
  • = The INLET_CAPACITY of the Inlet.
  • = The calculated previous amounts of flow.
  • = The desired lower water level at the Inlet's location, based on the LOWER_THRESHOLD of the Inlet.
  • = The desired upper water level at the outlet's location, based on the outlet's UPPER_THRESHOLD of the Inlet.
  • = The amount of water inflow (or outflow when negative) possible based on the INLET_Q of the Inlet and timestep .
  • = The total amount of water inflow (or outflow when negative) allowed based on the total capacity of the Inlet.
  • = Size of the Inlet/outlet area in m2, based on the amount of cells and cell size. Current implementation only has one cell.
  • = The amount of water flow which takes place.

Related

The following topics are related to this formula.

Structures
Inlet
Models
Surface model