Long wave propagation: Difference between revisions
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The figure below shows a time series of water levels at the | The figure below shows a time series of water levels at the inner edge of the model domain. The goodness of fit statistics are listed in the below. The model accurately predicts the wave phase but slightly overestimates the amplitude by approximately 0.01 m. | ||
Table 2. Goodness of fit statistics for the water elevation | Table 2. Goodness of fit statistics for the water elevation | ||
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[[Image:QA_Water_Level_8km.png]] | [[Image:QA_Water_Level_8km.png]] | ||
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Revision as of 23:15, 3 March 2011
Analytical Solution
The purpose of this verification test is to assess the model performance in simulating long wave propagation. The case is also useful for testing the model performance and symmetry for a non-rectangular domain. The test case consists of a quarter annulus shaped domain with a linear bottom in the radial direction. The analytical
Setup
- Forcing: 0.3048 m amplitude M2 tide (red cell string)
- Bottom friction: 0.0 sec/m^(1/3) (Manning N)
- Horizontal eddy viscosity: :0 m^2/sec
- Run duration: 5 days
- Ramp period: 2 days
- Time step: 10 min
- Wall Friction: Off
- Grid resolution: 1000 x 1000 m (constant)
- Number of cells: 23409
Results
The figure below shows a time series of water levels at the inner edge of the model domain. The goodness of fit statistics are listed in the below. The model accurately predicts the wave phase but slightly overestimates the amplitude by approximately 0.01 m.
Table 2. Goodness of fit statistics for the water elevation
| Statistic | Value |
| RMSE | 0.014 m |
| RMAE | 0.028 |
| R^2 | 0.999 |
| Bias | 0.003 m |
References
- Lynch, D.R., and Gray, W.G. (1978). "Analytical solutions for computer flow model testing," J. Hydraulics Division, 104, 1409-28.