Breach flow formula (Water Overlay) - Revision history

Frank@tygron.nl at 13:27, 5 March 2024

2024-03-05T13:27:12Z

← Older revision		Revision as of 13:27, 5 March 2024
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	Where:		Where:
	: <math>z_{b}</math> Datum height of the bottom of the area water flows from.		: <math>z_{b}</math> = Datum height of the bottom of the area water flows from.
	: <math>w_{e,t}</math> = The [[Surface water level formula (Water Overlay)\|water level]] of the entry area at time <math>t</math>; In case of an external area: [[External water level (Water Overlay)\|EXTERNAL_WATER_LEVEL]] of the [[Breach (Water Overlay)\|breach]].		: <math>w_{e,t}</math> = The [[Surface water level formula (Water Overlay)\|water level]] of the entry area at time <math>t</math>; In case of an external area: [[External water level (Water Overlay)\|EXTERNAL_WATER_LEVEL]] of the [[Breach (Water Overlay)\|breach]].
	: <math>Q_{w,t}</math> = The calculated water flow which takes place at time <math>t</math>, based on the [[Weir formula (Water Overlay)\|weir formula]].		: <math>Q_{w,t}</math> = The calculated water flow which takes place at time <math>t</math>, based on the [[Weir formula (Water Overlay)\|weir formula]].
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	: <math>W_b</math> = Width of the bottom of the trapezoid		: <math>W_b</math> = Width of the bottom of the trapezoid
	: <math>w_{e,t}</math> = The [[Surface water level formula (Water Overlay)\|water level]] of the entry area at time <math>t</math>; In case of an external area: [[External water level (Water Overlay)\|EXTERNAL_WATER_LEVEL]] of the [[Breach (Water Overlay)\|breach]].		: <math>w_{e,t}</math> = The [[Surface water level formula (Water Overlay)\|water level]] of the entry area at time <math>t</math>; In case of an external area: [[External water level (Water Overlay)\|EXTERNAL_WATER_LEVEL]] of the [[Breach (Water Overlay)\|breach]].
	: <math>z_{b}</math> Datum height of the bottom of the area water flows from.		: <math>z_{b} = </math> Datum height of the bottom of the area water flows from.
	: <math>h_0</math> = The initial relative water height in the external area.		: <math>h_0</math> = The initial relative water height in the external area.
	: <math>a</math> = Slope of the trapezoid		: <math>a</math> = Slope of the trapezoid

Frank@tygron.nl at 13:26, 5 March 2024

2024-03-05T13:26:23Z

← Older revision		Revision as of 13:26, 5 March 2024
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	: <math>W_b</math> = Width of the bottom of the trapezoid		: <math>W_b</math> = Width of the bottom of the trapezoid
	: <math>w_{e,t}</math> = The [[Surface water level formula (Water Overlay)\|water level]] of the entry area at time <math>t</math>; In case of an external area: [[External water level (Water Overlay)\|EXTERNAL_WATER_LEVEL]] of the [[Breach (Water Overlay)\|breach]].		: <math>w_{e,t}</math> = The [[Surface water level formula (Water Overlay)\|water level]] of the entry area at time <math>t</math>; In case of an external area: [[External water level (Water Overlay)\|EXTERNAL_WATER_LEVEL]] of the [[Breach (Water Overlay)\|breach]].
	: <math>Q_{~~w,t~~}</math> ~~= The calculated water flow which takes place at time <math>t</math>, based on~~ the ~~[[Weir formula (Water Overlay)\|weir formula]].~~		: <math>z_{b}</math> Datum height of the bottom of the area water flows from.
	~~: <math>\Delta V</math> = The limited volume~~ of ~~water transported, based on~~ the ~~remaining~~ water.
	: <math>h_0</math> = The initial relative water height in the external area.		: <math>h_0</math> = The initial relative water height in the external area.
	: <math>a</math> = Slope of the trapezoid		: <math>a</math> = Slope of the trapezoid
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	: <math>c</math> = Constant based on new area of the trapezoid <math>A_{t,t+1}</math>		: <math>c</math> = Constant based on new area of the trapezoid <math>A_{t,t+1}</math>
	: <math>D</math> = Polynomial discriminant		: <math>D</math> = Polynomial discriminant
			: <math>\Delta V</math> = The limited volume of water transported, based on the remaining water.


	{{article end		{{article end

Frank@tygron.nl: /* Trapezoidal prism */

2024-03-05T13:24:39Z

Trapezoidal prism

← Older revision		Revision as of 13:24, 5 March 2024
Line 72:		Line 72:

	Where:		Where:
	: <math>z_{b}</math> = Datum height of the bottom of the area water flows from.		: <math>L</math> = Length of the trapezoidal prism
			: <math>A_{s}</math> = The size of in the entry area; In case of an external area: [[External area (Water Overlay)\|EXTERNAL_AREA]] of the breach.
			: <math>W_s</math> = Width of the original top (surface at <math>t = 0</math>) of the trapezoid
			: <math>A_{b}</math> = The (optional) size of the bottom of the entry area; In case of an external area: the second value provided for the [[External area (Water Overlay)\|EXTERNAL_AREA]] of the breach. In case only one value is provided, <math>A_{b} = A_{s}</math>: <math>z_{b}</math> = Datum height of the bottom of the area water flows from.
			: <math>W_b</math> = Width of the bottom of the trapezoid
	: <math>w_{e,t}</math> = The [[Surface water level formula (Water Overlay)\|water level]] of the entry area at time <math>t</math>; In case of an external area: [[External water level (Water Overlay)\|EXTERNAL_WATER_LEVEL]] of the [[Breach (Water Overlay)\|breach]].		: <math>w_{e,t}</math> = The [[Surface water level formula (Water Overlay)\|water level]] of the entry area at time <math>t</math>; In case of an external area: [[External water level (Water Overlay)\|EXTERNAL_WATER_LEVEL]] of the [[Breach (Water Overlay)\|breach]].
	: <math>Q_{w,t}</math> = The calculated water flow which takes place at time <math>t</math>, based on the [[Weir formula (Water Overlay)\|weir formula]].		: <math>Q_{w,t}</math> = The calculated water flow which takes place at time <math>t</math>, based on the [[Weir formula (Water Overlay)\|weir formula]].
	: <math>\Delta V</math> = The limited volume of water transported, based on the remaining water.		: <math>\Delta V</math> = The limited volume of water transported, based on the remaining water.
	~~: <math>A_{s}</math> = The size of in the entry area; In case of an external area: [[External area (Water Overlay)\|EXTERNAL_AREA]] of the breach.~~
	: <math>A_{b}</math> = The (optional) size of the bottom of the entry area; In case of an external area: the second value provided for the [[External area (Water Overlay)\|EXTERNAL_AREA]] of the breach. In case only one value is provided, <math>A_{b} = A_{s}</math>
	~~: <math>L</math> = Length of the trapezoidal prism~~
	~~: <math>W_s</math> = Width of the original top (surface at <math>t = 0</math>) of the trapezoid~~
	~~: <math>W_b</math> = Width of the bottom of the trapezoid~~
	: <math>h_0</math> = The initial relative water height in the external area.		: <math>h_0</math> = The initial relative water height in the external area.
	: <math>a</math> = Slope of the trapezoid		: <math>a</math> = Slope of the trapezoid

Frank@tygron.nl: /* Trapezoidal prism */

2024-03-05T13:23:16Z

Trapezoidal prism

← Older revision		Revision as of 13:23, 5 March 2024
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	: <math>w_{e,t}</math> = The [[Surface water level formula (Water Overlay)\|water level]] of the entry area at time <math>t</math>; In case of an external area: [[External water level (Water Overlay)\|EXTERNAL_WATER_LEVEL]] of the [[Breach (Water Overlay)\|breach]].		: <math>w_{e,t}</math> = The [[Surface water level formula (Water Overlay)\|water level]] of the entry area at time <math>t</math>; In case of an external area: [[External water level (Water Overlay)\|EXTERNAL_WATER_LEVEL]] of the [[Breach (Water Overlay)\|breach]].
	: <math>Q_{w,t}</math> = The calculated water flow which takes place at time <math>t</math>, based on the [[Weir formula (Water Overlay)\|weir formula]].		: <math>Q_{w,t}</math> = The calculated water flow which takes place at time <math>t</math>, based on the [[Weir formula (Water Overlay)\|weir formula]].
	~~: <math>\Delta t</math> = The timestep in seconds.~~
	: <math>\Delta V</math> = The limited volume of water transported, based on the remaining water.		: <math>\Delta V</math> = The limited volume of water transported, based on the remaining water.
	: <math>A_{s}</math> = The size of in the entry area; In case of an external area: [[External area (Water Overlay)\|EXTERNAL_AREA]] of the breach.		: <math>A_{s}</math> = The size of in the entry area; In case of an external area: [[External area (Water Overlay)\|EXTERNAL_AREA]] of the breach.
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	*When water is flowing from the project area to an external area, the slope of the external area remains the same, even when the water level rises above the original water level. In the case of a trapezoidal prism, is extrapolated upwards.		*When water is flowing from the project area to an external area, the slope of the external area remains the same, even when the water level rises above the original water level. In the case of a trapezoidal prism, is extrapolated upwards.
	}}		}}

	==Related==		==Related==
	The following topics are related to this formula.		The following topics are related to this formula.

Frank@tygron.nl at 13:22, 5 March 2024

2024-03-05T13:22:51Z

← Older revision		Revision as of 13:22, 5 March 2024
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	: <math>w_{e,t}</math> = The [[Surface water level formula (Water Overlay)\|water level]] of the entry area at time <math>t</math>; In case of an external area: [[External water level (Water Overlay)\|EXTERNAL_WATER_LEVEL]] of the [[Breach (Water Overlay)\|breach]].		: <math>w_{e,t}</math> = The [[Surface water level formula (Water Overlay)\|water level]] of the entry area at time <math>t</math>; In case of an external area: [[External water level (Water Overlay)\|EXTERNAL_WATER_LEVEL]] of the [[Breach (Water Overlay)\|breach]].
	: <math>Q_{w,t}</math> = The calculated water flow which takes place at time <math>t</math>, based on the [[Weir formula (Water Overlay)\|weir formula]].		: <math>Q_{w,t}</math> = The calculated water flow which takes place at time <math>t</math>, based on the [[Weir formula (Water Overlay)\|weir formula]].
	: <math>\Delta t</math> = The timestep in seconds.		: <math>\Delta t</math> = The [[Timestep formula (Water Overlay)\|timestep]] in seconds.
	: <math>\Delta V</math> = The limited volume of water transported, based on the remaining water.		: <math>\Delta V</math> = The limited volume of water transported, based on the remaining water.
	: <math>A_{s}</math> = The size of in the entry area; In case of an external area: [[External area (Water Overlay)\|EXTERNAL_AREA]] of the breach.		: <math>A_{s}</math> = The size of in the entry area; In case of an external area: [[External area (Water Overlay)\|EXTERNAL_AREA]] of the breach.

Frank@tygron.nl at 09:04, 29 January 2024

2024-01-29T09:04:51Z

← Older revision		Revision as of 09:04, 29 January 2024
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	: <math>D</math> = Polynomial discriminant		: <math>D</math> = Polynomial discriminant

	~~==Notes=~~=		{{article end
			\|notes=
	*The water level w<sub>e</sub> cannot become lower than the surface height s<sub>e</sub>, defined by [[External_surface_level_(Water_Overlay)\|EXTERNAL_SURFACE_LEVEL]] in case of an external entry area. In case of an input area within the project, the [[terrain height (Water Overlay)\|surface height]] is determined per grid cell.		*The water level w<sub>e</sub> cannot become lower than the surface height s<sub>e</sub>, defined by [[External_surface_level_(Water_Overlay)\|EXTERNAL_SURFACE_LEVEL]] in case of an external entry area. In case of an input area within the project, the [[terrain height (Water Overlay)\|surface height]] is determined per grid cell.
	*When water is flowing from the project area to an external area, the slope of the external area remains the same, even when the water level rises above the original water level. In the case of a trapezoidal prism, is extrapolated upwards.		*When water is flowing from the project area to an external area, the slope of the external area remains the same, even when the water level rises above the original water level. In the case of a trapezoidal prism, is extrapolated upwards.
			}}
	==Related==		==Related==
	The following topics are related to this formula.		The following topics are related to this formula.

Frank@tygron.nl: /* Trapezoidal prism */

2023-06-28T15:18:39Z

Trapezoidal prism

← Older revision		Revision as of 15:18, 28 June 2023
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	: <math>A_{b}</math> = The (optional) size of the bottom of the entry area; In case of an external area: the second value provided for the [[External area (Water Overlay)\|EXTERNAL_AREA]] of the breach. In case only one value is provided, <math>A_{b} = A_{s}</math>		: <math>A_{b}</math> = The (optional) size of the bottom of the entry area; In case of an external area: the second value provided for the [[External area (Water Overlay)\|EXTERNAL_AREA]] of the breach. In case only one value is provided, <math>A_{b} = A_{s}</math>
	==Trapezoidal prism==		==Trapezoidal prism==
			[[File:external_water_body_trapezoid.png\|right\|External water body as a trapezoid]]
	The [[External area (Water Overlay)\|external water area]] can also be represented as a trapezoidal prism. The new water level then has to be calculated differently.		The [[External area (Water Overlay)\|external water area]] can also be represented as a trapezoidal prism. The new water level then has to be calculated differently.

Frank@tygron.nl at 14:08, 21 June 2023

2023-06-21T14:08:40Z

← Older revision		Revision as of 14:08, 21 June 2023
Line 77:		Line 77:
	: <math>\Delta V</math> = The limited volume of water transported, based on the remaining water.		: <math>\Delta V</math> = The limited volume of water transported, based on the remaining water.
	: <math>A_{s}</math> = The size of in the entry area; In case of an external area: [[External area (Water Overlay)\|EXTERNAL_AREA]] of the breach.		: <math>A_{s}</math> = The size of in the entry area; In case of an external area: [[External area (Water Overlay)\|EXTERNAL_AREA]] of the breach.
	: <math>A_{b}</math> = The (optional) size of the bottom of the entry area; In case of an external area: the second value provided for the [[External area (Water Overlay)\|EXTERNAL_AREA]] = of the breach. In case only one value is provided, <math>A_{b} = A_{s}</math>		: <math>A_{b}</math> = The (optional) size of the bottom of the entry area; In case of an external area: the second value provided for the [[External area (Water Overlay)\|EXTERNAL_AREA]] of the breach. In case only one value is provided, <math>A_{b} = A_{s}</math>
	: <math>L</math> = Length of the trapezoidal prism		: <math>L</math> = Length of the trapezoidal prism
	: <math>W_s</math> = Width of the original top (surface at <math>t = 0</math>) of the trapezoid		: <math>W_s</math> = Width of the original top (surface at <math>t = 0</math>) of the trapezoid

Frank@tygron.nl: /* Notes */

2023-06-21T12:27:07Z

Notes

← Older revision		Revision as of 12:27, 21 June 2023
Line 89:		Line 89:
	==Notes==		==Notes==
	*The water level w<sub>e</sub> cannot become lower than the surface height s<sub>e</sub>, defined by [[External_surface_level_(Water_Overlay)\|EXTERNAL_SURFACE_LEVEL]] in case of an external entry area. In case of an input area within the project, the [[terrain height (Water Overlay)\|surface height]] is determined per grid cell.		*The water level w<sub>e</sub> cannot become lower than the surface height s<sub>e</sub>, defined by [[External_surface_level_(Water_Overlay)\|EXTERNAL_SURFACE_LEVEL]] in case of an external entry area. In case of an input area within the project, the [[terrain height (Water Overlay)\|surface height]] is determined per grid cell.
	*When water is flowing from the project area to an external area, the slope of the external area remains the same, even when the water level rises above the original water level~~, and in~~ the case of a trapezoidal prism, is extrapolated upwards.		*When water is flowing from the project area to an external area, the slope of the external area remains the same, even when the water level rises above the original water level. In the case of a trapezoidal prism, is extrapolated upwards.

	==Related==		==Related==

Frank@tygron.nl: /* Notes */

2023-06-21T12:26:18Z

Notes

← Older revision		Revision as of 12:26, 21 June 2023
Line 89:		Line 89:
	==Notes==		==Notes==
	*The water level w<sub>e</sub> cannot become lower than the surface height s<sub>e</sub>, defined by [[External_surface_level_(Water_Overlay)\|EXTERNAL_SURFACE_LEVEL]] in case of an external entry area. In case of an input area within the project, the [[terrain height (Water Overlay)\|surface height]] is determined per grid cell.		*The water level w<sub>e</sub> cannot become lower than the surface height s<sub>e</sub>, defined by [[External_surface_level_(Water_Overlay)\|EXTERNAL_SURFACE_LEVEL]] in case of an external entry area. In case of an input area within the project, the [[terrain height (Water Overlay)\|surface height]] is determined per grid cell.
			*When water is flowing from the project area to an external area, the slope of the external area remains the same, even when the water level rises above the original water level, and in the case of a trapezoidal prism, is extrapolated upwards.

	==Related==		==Related==