Surface flow formula (Water Overlay): Difference between revisions
Jump to navigation
Jump to search
(Created page with "In the model, imbalances in the water surface elevation across the grid drive the flow of water until a state of equilibrium is reached in terms of ''w'' and flux. Behavior of...") |
No edit summary |
||
Line 1: | Line 1: | ||
Imbalances in the water surface elevation across the grid drive the flow of water until a state of equilibrium is reached in terms of ''w'' (water surface elevation) and flux. Behavior of the flow is described by a second-order semi-discrete central-upwind scheme produced by Kurganov and Petrova (2007)<ref name="Kurganov2"/>, which is based on the 2-D Saint-Venant equations (a.k.a. shallow water equations): | |||
:<math> | :<math> | ||
Line 24: | Line 24: | ||
| ''n'' || is the Gauckler–Manning coefficient | | ''n'' || is the Gauckler–Manning coefficient | ||
|} | |} | ||
==References== | |||
<references> | |||
<ref name="Kurganov2">Kurganov A, Petrova G (2007) ∙ A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System ∙ found at: http://www.math.tamu.edu/~gpetrova/KPSV.pdf (last visited 2019-04-11)</ref> | |||
</references> | |||
{{Template:WaterOverlay_nav}} | |||
{{Water Module buttons}} |
Revision as of 21:26, 22 August 2019
Imbalances in the water surface elevation across the grid drive the flow of water until a state of equilibrium is reached in terms of w (water surface elevation) and flux. Behavior of the flow is described by a second-order semi-discrete central-upwind scheme produced by Kurganov and Petrova (2007)[1], which is based on the 2-D Saint-Venant equations (a.k.a. shallow water equations):
where
u is the velocity in the x-direction v is the velocity in the y-direction h is the water depth B is the bottom elevation g is the acceleration due to gravity n is the Gauckler–Manning coefficient
References
- ↑ Kurganov A, Petrova G (2007) ∙ A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System ∙ found at: http://www.math.tamu.edu/~gpetrova/KPSV.pdf (last visited 2019-04-11)