Timestep formula (Water Overlay) - Revision history

Rudolf@tygron.nl at 10:45, 25 February 2026

2026-02-25T10:45:02Z

← Older revision		Revision as of 10:45, 25 February 2026
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	\|page=15		\|page=15
	\|source=		\|source=
	\|link=~~http~~://~~www.math~~.tamu.edu/~gpetrova/KPSV.pdf		\|link=https://people.tamu.edu/~gpetrova//KPSV.pdf
	\|lastvisit=~~2018~~-06-29		\|lastvisit=2016-02-25
	}}		}}
	</references>		</references>

Rudolf@tygron.nl at 11:48, 17 October 2025

2025-10-17T11:48:34Z

← Older revision		Revision as of 11:48, 17 October 2025
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	An adaptive timestep is implemented according to Kurganov and Petrova (2007)<ref ~~name="~~Kurganov1~~" />~~. At every timestep, the courant-number is kept smaller than 0.25 for every active computation cell.		An adaptive timestep is implemented according to Kurganov and Petrova (2007){{ref\|Kurganov1}}. At every timestep, the courant-number is kept smaller than 0.25 for every active computation cell.

	[[File:Inundation_overlay_03.PNG\|400px]]		[[File:Inundation_overlay_03.PNG\|400px]]
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	* if the waterdepth increases, the timestep is assumed to be not larger than the formula above.		* if the waterdepth increases, the timestep is assumed to be not larger than the formula above.

	If the numerical flux decreases, larger timesteps are allowed than set by Kurganov and Petrova<ref ~~name="~~Kurganov1~~" />~~, depending on the [[Calculation preference formula (Water Overlay)\|configured calculation]].		If the numerical flux decreases, larger timesteps are allowed than set by Kurganov and Petrova{{ref\|Kurganov1}}, depending on the [[Calculation preference formula (Water Overlay)\|configured calculation]].

	{{article end		{{article end
	\|references=		\|references=
	<references>		<references>
	<ref name=~~"Kurganov1">Kurganov A, Petrova G (2007) ∙~~ A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System ~~∙ p~~ 15 ~~∙ found at:~~ http://www.math.tamu.edu/~gpetrova/KPSV.pdf ~~(last visited~~ 2018-06-29~~)</ref>~~		{{ref\|Kurganov1
			\|name=A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System
			\|author=Kurganov A, Petrova G (2007)
			\|page=15
			\|source=
			\|link=http://www.math.tamu.edu/~gpetrova/KPSV.pdf
			\|lastvisit=2018-06-29
			}}
	</references>		</references>
	}}		}}

	{{WaterOverlay formula nav}}		{{WaterOverlay formula nav}}

Frank@tygron.nl: /* References */

2024-01-29T09:03:02Z

References

← Older revision		Revision as of 09:03, 29 January 2024
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	If the numerical flux decreases, larger timesteps are allowed than set by Kurganov and Petrova<ref name="Kurganov1" />, depending on the [[Calculation preference formula (Water Overlay)\|configured calculation]].		If the numerical flux decreases, larger timesteps are allowed than set by Kurganov and Petrova<ref name="Kurganov1" />, depending on the [[Calculation preference formula (Water Overlay)\|configured calculation]].

	~~==References=~~=		{{article end
			\|references=
	<references>		<references>
	<ref name="Kurganov1">Kurganov A, Petrova G (2007) ∙ A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System ∙ p 15 ∙ found at: http://www.math.tamu.edu/~gpetrova/KPSV.pdf (last visited 2018-06-29)</ref>		<ref name="Kurganov1">Kurganov A, Petrova G (2007) ∙ A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System ∙ p 15 ∙ found at: http://www.math.tamu.edu/~gpetrova/KPSV.pdf (last visited 2018-06-29)</ref>
	</references>		</references>
			}}

	{{WaterOverlay formula nav}}		{{WaterOverlay formula nav}}

Rudolf@tygron.nl at 12:07, 14 August 2020

2020-08-14T12:07:02Z

← Older revision		Revision as of 12:07, 14 August 2020
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	</references>		</references>

	{{~~Template:~~WaterOverlay formula nav}}		{{WaterOverlay formula nav}}

Rudolf@tygron.nl at 12:00, 14 August 2020

2020-08-14T12:00:44Z

← Older revision		Revision as of 12:00, 14 August 2020
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	</references>		</references>

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Rudolf@tygron.nl at 11:59, 14 August 2020

2020-08-14T11:59:13Z

← Older revision		Revision as of 11:59, 14 August 2020
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	</references>		</references>

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Frank@tygron.nl: /* References */

2019-10-15T16:33:41Z

References

← Older revision		Revision as of 16:33, 15 October 2019
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	~~{{Water Module buttons}}~~

Bobby@tygron.nl at 12:04, 13 June 2019

2019-06-13T12:04:52Z

← Older revision		Revision as of 12:04, 13 June 2019
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			{{Water Module buttons}}

Vincent@tygron.nl at 12:02, 4 April 2019

2019-04-04T12:02:41Z

← Older revision		Revision as of 12:02, 4 April 2019
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	* if the waterdepth increases, the timestep is assumed to be not larger than the formula above.		* if the waterdepth increases, the timestep is assumed to be not larger than the formula above.

	If the numerical flux decreases, larger timesteps are allowed than set by Kurganov and Petrova<ref name="Kurganov1" />, depending on the ~~{{inlink\|~~Calculation preference formula\|configured calculation}}.		If the numerical flux decreases, larger timesteps are allowed than set by Kurganov and Petrova<ref name="Kurganov1" />, depending on the [[Calculation preference formula (Water Overlay)\|configured calculation]].

	==References==		==References==

Frank@tygron.nl at 12:44, 2 April 2019

2019-04-02T12:44:43Z

← Older revision		Revision as of 12:44, 2 April 2019
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	If the numerical flux decreases, larger timesteps are allowed than set by Kurganov and Petrova<ref name="Kurganov1" />, depending on the {{inlink\|Calculation preference formula\|configured calculation}}.		If the numerical flux decreases, larger timesteps are allowed than set by Kurganov and Petrova<ref name="Kurganov1" />, depending on the {{inlink\|Calculation preference formula\|configured calculation}}.

			==References==
			<references>
			<ref name="Kurganov1">Kurganov A, Petrova G (2007) ∙ A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System ∙ p 15 ∙ found at: http://www.math.tamu.edu/~gpetrova/KPSV.pdf (last visited 2018-06-29)</ref>
			</references>

	{{Template:WaterOverlay_nav}}		{{Template:WaterOverlay_nav}}