Long-wave Runup: Difference between revisions
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<font color=red>'''UNDER CONSTRUCTION'''</font> | <font color=red>'''UNDER CONSTRUCTION'''</font> | ||
== Overview == | == Overview == | ||
The goal of this verification test to asses the model performance in simulating nonlinear runup/rundown over a plane slopt. Carrier et al. (2003) presented an analytical solution to the nonlinear shallow water equations over a plane slope for several initial wave forms. Here the analytical solution for a the initial wave form given by leading-depression N-wave is used. | |||
== Initial Condition == | == Initial Condition == | ||
The bed has a constant slope of 1/10 with the initial shoreline located at x=0. Figure 1 shows the initial water level (is given by a leading depression N-wave (characteristic of the waves caused by submarine landslides). The initial current velocity is equal to zero everywhere. | |||
[[Image:Long-wave_Runup_Initial_Water_Level.png|thumb|left|600px| Figure 1. Initial water level]] | [[Image:Long-wave_Runup_Initial_Water_Level.png|thumb|left|600px| Figure 1. Initial water level]] | ||
<br style="clear:both" /> | <br style="clear:both" /> | ||
== Model Setup == | == Model Setup == | ||
Table 1. General Conditions | |||
{|border="1" | |||
!'''Parameter''' !! '''Value''' | |||
|- | |||
| Time step || 0.1 s | |||
|- | |||
| Ramp period || 0.0 s | |||
|- | |||
| Drying depth || 0.01 m | |||
|- | |||
| Wall friction || Off | |||
|- | |||
| Mixing terms || Off | |||
|- | |||
| Manning's coefficient || 0.0 | |||
|} | |||
== Results == | == Results == | ||
[[Image:Long-wave_Runup_Water_Level.png|thumb|none|600px| Figure 2. Comparison of calculated and analytical water levels for different time steps. ]] | [[Image:Long-wave_Runup_Water_Level.png|thumb|none|600px| Figure 2. Comparison of calculated and analytical water levels for different time steps. ]] | ||
'''Table 1. Goodness of Fit Statistics''' | |||
{| border="1" | |||
! Time, s !! RMSE, m !! MAE, m !! R^2 !! Bias, m | |||
|- | |||
| 160 || 0.047 || 0.461 || 0.999 || -0.069 | |||
|- | |||
| 175 || 0.058 || 0.304 || 0.998 || -0.239 | |||
|- | |||
| 220 || 0.042 || 0.261 || 1.000 || -0.055 | |||
|} | |||
<br style="clear:both" /> | <br style="clear:both" /> | ||
Revision as of 19:32, 14 January 2011
UNDER CONSTRUCTION
Overview
The goal of this verification test to asses the model performance in simulating nonlinear runup/rundown over a plane slopt. Carrier et al. (2003) presented an analytical solution to the nonlinear shallow water equations over a plane slope for several initial wave forms. Here the analytical solution for a the initial wave form given by leading-depression N-wave is used.
Initial Condition
The bed has a constant slope of 1/10 with the initial shoreline located at x=0. Figure 1 shows the initial water level (is given by a leading depression N-wave (characteristic of the waves caused by submarine landslides). The initial current velocity is equal to zero everywhere.
Model Setup
Table 1. General Conditions
| Parameter | Value |
|---|---|
| Time step | 0.1 s |
| Ramp period | 0.0 s |
| Drying depth | 0.01 m |
| Wall friction | Off |
| Mixing terms | Off |
| Manning's coefficient | 0.0 |
Results
Table 1. Goodness of Fit Statistics
| Time, s | RMSE, m | MAE, m | R^2 | Bias, m |
|---|---|---|---|---|
| 160 | 0.047 | 0.461 | 0.999 | -0.069 |
| 175 | 0.058 | 0.304 | 0.998 | -0.239 |
| 220 | 0.042 | 0.261 | 1.000 | -0.055 |
References
- Carrier, G., Wu, T.T., and Yeh, H. (2003). "Tsunami runup and draw-down on a plane beach", Journal of Fluid Mechanics, 475, 79-99.