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.

Table 1. Goodness of fit statistics for the water surface elevation

Statistic	Value
RMSE	0.0074 m
RMAE	0.0068 m
R^2	0.991
Bias	0.0017 m

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Test Cases

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