Finite Element Method (FEM)

2D depth-integrated flow

Before we proceed to the finite element form of our two-dimensional, depth-integrated flow problem ( which is also incompressible), we remember the basis equations, i.e. the shallow water equations:

The shallow water equation stated here already makes use of a number of simplifications for better readability. The influence of wind shear stress at the surface and the coriolis force, for example, have not been accounted for. For further simplification we have a closer look at the first term on the right side of the shallow water equation. The calculations will be done for the x-component:

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Hydrodynamics of Floods





Skript Environmental Hydraulic Simulation:

2D depth-integrated flow

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