Long-wave Runup: Difference between revisions

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== Model Setup ==
== Model Setup ==
Table  1. General Conditions
The computational grid has a 3 m resolution for x<300 and increases to 10 m with an aspect ratio of 1.05. The general model parameters used in the simulation are shown in Table 1.
 
Table  1. Model Parameters
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Revision as of 19:40, 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.

Figure 1. Initial water level


Model Setup

The computational grid has a 3 m resolution for x<300 and increases to 10 m with an aspect ratio of 1.05. The general model parameters used in the simulation are shown in Table 1.

Table 1. Model Parameters

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

Figure 2. Comparison of calculated and analytical water levels for different time steps.

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.

Test Cases

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