Comparison between 1D and 2D models to analyze the dam break
Comparison between 1D and 2D models to analyze the dam break
Comparison between 1D and 2D models to analyze the dam break
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<strong>Comparison</strong> <strong>between</strong> <strong>1D</strong> <strong>and</strong> <strong>2D</strong> <strong>models</strong> <strong>to</strong> <strong>analyze</strong> <strong>the</strong> <strong>dam</strong> <strong>break</strong> waveMesh curvature fac<strong>to</strong>r 0.3Mesh curvature cut off 0.001Resolution of narrow regions 1Resolution of geometry 10x-direction scale fac<strong>to</strong>r 1.0y-direction scale fac<strong>to</strong>r 1.0Mesh geometry <strong>to</strong> levelSubdomainFigure 27. Mesh with 7936 elements.Figure 28. Mesh with 496 elements.The consequence of solving <strong>the</strong> model with a wrongmesh is <strong>the</strong> inaccurate definition of <strong>the</strong> whole model.The effect is shown in figure 29, where is present astrange appearance of <strong>the</strong> initial value. The number ofelements of this mesh has been 496 instead of 7936.In <strong>the</strong> ‘Mesh Statistics’ (table 5), <strong>the</strong>re are somestatistical data for <strong>the</strong> current mesh such as <strong>the</strong>number of elements <strong>and</strong> <strong>the</strong> minimum element quality.Table 5. Mesh Statistics.Number of degrees of freedom 48171Number of boundary elements 184Number of elements 7936Minimum element quality 0.60365.9 Subdomain settings.The previous discourse about <strong>the</strong> <strong>1D</strong>-subdomainsettings is analogous for <strong>the</strong> <strong>2D</strong> model. The samegeneral equation has been adapted in this case, using<strong>the</strong> two-dimensional expressions, as we can see in <strong>the</strong>following figures:∂ud a+ ∇ ⋅ Γ = F∂t⋅ (17)Figure 29. Mesh with 496 elementsFigure 30. The flux vec<strong>to</strong>r tab.Table 4. Mesh Parameters.ParameterValueMaximum element sizeMaximum element size scaling fac<strong>to</strong>r 1Element growth rate 1.315