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.

Table 1. General Settings for Flow over a Bump

Parameter	Value
Discharge	0.18 m^3/s
Downstream water level	0.33 m
Bottom friction	None

Model Setup

The computational domain is 25 m long and has a constant grid resolution of 0.1 m. A flux boundary condition is specified at the inflow boundary and a constant water level boundary condition is applied to the downstream boundary. An adaptive time between 0.1-10 seconds is applied.

Figure 1. Computational grid.

Results

A comparison between the analytical solution for water levels is compared to the calculated water levels in Figure 2. As shown in the goodness of fit statistics, the model results agree well with the analytical solution.

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

Table 2. 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

References

• Caleffi, V., Valiani, A., and Zanni, A. (2003). "Finite volume method for simulating extreme flood events in naturalchannels," Journal of Hydraulic Research, 41(2), 167-177.

---

Test Cases

Documentation Portal