Flooding Overlay: Difference between revisions
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* inertia (increase or decrease of velocity over time) | * inertia (increase or decrease of velocity over time) | ||
== | ==Numerical scheme== | ||
The Tygron Engine Inundation module relies on an explicit finit volume method, taken from Kurganov and Petrova (2007). This scheme relies on a reconstruction of cell bottom, water level and velocity at the interfaces between computational cells as proposed by Lax and Wendroff (see Rezzolla, 2011). The reconstruction method, taken from Bolderman et all (2014) ensures numerical stability, especially at the wetting and drying front of a flood wave. | The Tygron Engine Inundation module relies on an explicit finit volume method, taken from Kurganov and Petrova (2007). This scheme relies on a reconstruction of cell bottom, water level and velocity at the interfaces between computational cells as proposed by Lax and Wendroff (see Rezzolla, 2011). The reconstruction method, taken from Bolderman et all (2014) ensures numerical stability, especially at the wetting and drying front of a flood wave. | ||
==Computational time step== | ==Computational time step== | ||
Revision as of 09:29, 28 June 2018
2D Saint Venant equations
The 2D Saint Venant equations describe the conservation of mass in a gridcell and the conservation of momentum in both x and y, direction:
File:Inundation overlay 01.PNG
The Saint Venant equations describe the following processes:
- friction
- bed slope
- water pressure
- convection (changes in bathemetry over space)
- inertia (increase or decrease of velocity over time)
Numerical scheme
The Tygron Engine Inundation module relies on an explicit finit volume method, taken from Kurganov and Petrova (2007). This scheme relies on a reconstruction of cell bottom, water level and velocity at the interfaces between computational cells as proposed by Lax and Wendroff (see Rezzolla, 2011). The reconstruction method, taken from Bolderman et all (2014) ensures numerical stability, especially at the wetting and drying front of a flood wave.
Computational time step
References
- Rezzolla L (2011) ∙ Numerical Methods for the Solution of Partial Differential Equations
- Bollermann A, Chen G, Kurganov A and Noelle S (2014) ∙ A Well-Balanced Reconstruction For Wetting/Drying Fronts https://www.researchgate.net/publication/269417532_A_Well-balanced_Reconstruction_for_Wetting_Drying_Fronts
- Kurganov A, Petrova G (2007) ∙ A Second-Order Well-Balanced Positivy Preserving Central-Upwind Scheme for the Saint-Venant System ∙ http://www.math.tamu.edu/~gpetrova/KPSV.pdf