Finite Element Method (FEM)

2D depth-integrated flow (3)

Substituting into the shallow water equation (x-component) yields:

The equation can be further reduced using the continuity condition to:

This can be done analogously for the y-component, so that the basic system of equations (cmp. Eq. 3-55) can now be written as:

These basis equations form the starting point for the finite element form of the two-dimensional, depth-integrated flow problem.


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Module
Hydrodynamics of Floods
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TUHH

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