Flooding Overlay

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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)

Explicit 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