Changeset 7220
- Timestamp:
- Jun 19, 2009, 3:12:18 AM (16 years ago)
- Location:
- anuga_work/publications/boxing_day_validation_2008
- Files:
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- 1 added
- 1 edited
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anuga_work/publications/boxing_day_validation_2008/patong_validation.tex
r7219 r7220 663 663 \end{figure} 664 664 665 666 665 \subsection{Propagation}\label{sec:resultsPropagation} 667 666 The deformation results described in Section~\ref{sec:modelGeneration} … … 680 679 Figure \ref{fig:jasonComparison} provides a comparison of the 681 680 \textsc{ursga} predicted sea surface elevation with the JASON 682 satellite altimetry data. The \textsc{ursga} model replicates the 683 amplitude and timing of the first peak and trough well. However, the 684 model does not resolve the double peak of the first wave. Also note 681 satellite altimetry data. The \textsc{ursga} model replicates the 682 amplitude and timing of the the wave observed at 2.5 degrees South, 683 but underestimates the amplitude of the wave further to the south at 684 4 degrees South. In the model, the southern most of these two waves 685 appears only as a small bump in the cross section of the model shown 686 in Figure~\ref{fig:jasonComparison} instead of being a distinct peak 687 as can be seen in the satellite data. Also note 685 688 that the \textsc{ursga} model prediction of the ocean surface 686 689 elevation becomes out of phase with the JASON data at 3 to 7 degrees … … 755 758 reasonable 756 759 757 FIXME (Ole): Perhaps rephrase a bit as the 1cm vs 10cm is hard to758 understand. Maximum onshore inundation elevation was computed from 759 the model throughout the entire Patong Bay760 %FIXME (Ole): Perhaps rephrase a bit as the 1cm vs 10cm is hard to 761 %understand. Remove figure using 1cm inundation 762 Maximum onshore inundation elevation was computed from the model throughout the entire Patong Bay 760 763 region. Figure~\ref{fig:inundationcomparison1cm} shows very good 761 agreement between the measured and simulated inundation. The762 \textsc{anuga} simulation determines a region to be inundated if at 763 some point in time it was covered by at least 1cm of water. This 764 precision in field measurements is impossible to obtain. The 765 inundation boundary is determined by observing water marks and other 766 signs left by the receding waters. The precision of the observed 767 inundation map is, most likely, at least an order of magnitude worse 768 th an the \textsc{anuga} simulation. The simulated inundation based769 upon a 10cm threshold is shown in 770 Figure~\ref{fig:inundationcomparison1cm}. An inundation threshold of 771 10cm was selected forall future simulations to reflect the likely764 agreement between the measured and simulated inundation. However these results are dependent on 765 the classification used to determine whether a region in in the numerical simulation was inundated. 766 In Figure~\ref{fig:inundationcomparison1cm} a point in the computational domain was deemed 767 inundated if at some point in time it was covered by at least 1cm of water. 768 However the precision of the field measurements is most likely different to the 1cm used 769 to determine the simulated inundation. The inundation boundary generated by the on-site survey 770 was determined by observing water marks and other signs left by the receding waters. Consequently 771 the measurement error along the inundation boundary of the survey varies significantly. However it is 772 impossible to quantify this error. Figure~\ref{fig:inundationcomparison1cm} shows the simulated 773 inundation using a threshold of 10cm. An inundation threshold of 10cm was selected for 774 the current and all future simulations to reflect the likely 772 775 accuracy of the survey and subsequently facilitate a more appropriate 773 comparison between the modelled and observed inundation area. 776 comparison between the modelled and observed inundation area. 774 777 775 778 An animation of this simulation is available on the ANUGA website at \url{https://datamining.anu.edu.au/anuga} or directly from \url{http://tinyurl.com/patong2004}. … … 789 792 introduce the measure 790 793 \begin{equation} 791 A(I_{in})=\frac{A(I_m\cap I_o)}{A(I_o)}794 \rho_{in}=\frac{A(I_m\cap I_o)}{A(I_o)} 792 795 \end{equation} 793 representing the ratio $ A(I_{in})$ of observed796 representing the ratio $\rho_{in}$ of observed 794 797 inundation region $I_o$ captured by the model $I_m$. Another useful 795 798 measure is the fraction of the modelled inundation area that falls 796 799 outside the observed inundation area given by the formula 797 800 \begin{equation} 798 A(I_{out})=\frac{A(I_m\setminus (I_m\cap I_o))}{A(I_o)}801 \rho_{out}=\frac{A(I_m\setminus (I_m\cap I_o))}{A(I_o)} 799 802 \end{equation} 800 803 These values for the two aforementioned simulations are given in 801 Table~\ref{table:inundationAreas} FIXME (Ole): The left hand side of802 these equations are not areas - consider another symbol.804 Table~\ref{table:inundationAreas} %FIXME (Ole): The left hand side of 805 %these equations are not areas - consider another symbol. 803 806 804 807 Discrepancies between the survey data and the modelled inundated … … 942 945 \begin{center} 943 946 \label{table:inundationAreas} 944 \caption{$ A(I_{in})$ and $A(I_{out})$ of the reference simulation and all sensitivity studies}947 \caption{$\rho_{in}$ and $\rho_{out}$ of the reference simulation and all sensitivity studies} 945 948 \begin{tabular}{|c|c|c|} 946 949 \hline 947 & $ A(I_{in})$ & $A(I_{out})$ \\950 & $\rho_{in}$ & $\rho_{out}$ \\ 948 951 \hline\hline 949 952 Reference & 0.76 & 0.22\\
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