Sudden Expansion
UNDER CONSTRUCTION
Experimental Setup
The flume experiment consisted of a rectangular flume 18 m long with an inflow section 0.6 m wide which expands suddenly into a wider section 1.2 m wide. The experiment parameters are shown in Table 1.
Table 1. General Settings for Flow over a Bump
Parameter | Value |
Discharge | 0.0385 m^3/s |
Downstream water level | 0.0 m |
Manning's coefficient | 0.015 |
Model Setup
The streched 3-level quadtree CMS-Flow grid is shown in Figure 1. The grid has a resolution between 0.03 and 0.45 m. A flux boundary condition is specified at the inflow boundary and a constant water level boundary condition is applied to the downstream boundary. The model setup parameters are shown in Table 2.
Table 2. Model
Parameter | Value |
Numerical scheme | Implicit |
Time step | 30 s |
Simulation Duration | 1 hr |
Ramp time | 0.5 hr |
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 in Table 3, the model results agree well with the analytical solution. The minimum water level is captured well, however there is a small shift in the location of the water level drop over the bump toward the downstream direction.
Table 3. Goodness of fit statistics for the water elevation
Statistic | Value |
RMSE | 0.0074 m |
RMAE | 0.0068 m |
R^2 | 0.991 |
Bias | 0.0017 m |