Flow over a bump

UNDER CONSTRUCTION

Setup

The spatial domain consists of a rectangular

$z_{b}={\begin{cases}0,&{\mbox{if }}x<8\\0.2-0.05(x-10)^{2},&{\mbox{if }}8\leq x\leq 12\\0,&{\mbox{if }}x>8\\\end{cases}}$

(1)

where $z_{b}$ is the bed elevation and $x$ is the horizontal distance.

Model Setup

A computational grid with constant water depth of 5 m and irregular boundaries is used in order to test the model performance. The computational grid has 60 columns and 70 rows and a constant resolution of 500 m.

Figure 1. Computational grid.

Results

Figure 2. Comparison of analytical and calculated water surface elevations and bed elevations.

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Test Cases

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