Surface flow formula (Water Overlay)
Revision as of 21:26, 22 August 2019 by Jorn@tygron.nl (talk | contribs)
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)