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86 lines
3.1 KiB
Plaintext
86 lines
3.1 KiB
Plaintext
/*!
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\page smoothing_page Smoothing
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\n Smoothing is used to adjust the locations of element corners
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(nodes) to reduce distortions in these elements.
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<em>To apply smoothing to the elements of your mesh:</em>
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<ol>
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<li>Display a mesh or a submesh in the 3D viewer.</li>
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<li>In the \b Modification menu select the \b Smoothing item or click
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<em>"Smoothing"</em> button in the toolbar.
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\image html image84.png
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<center><em>"Smoothing" button</em></center>
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The dialog box contains the following fields which should be
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specified:
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\image html smoothing.png
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<ul>
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<li><b>Id Elements</b> field allows to specify the elements which
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should be smoothed
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<ul>
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<li>Check on <b>Select the whole mesh, submesh or group</b> option
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<li>Choosing them manually with the mouse in the 3D Viewer. You can
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click on an element in the 3D viewer and it will be highlighted</li>
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<li>Applying Filters. The <b>Set filter</b> button allows to apply a
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definite filter to selection of the elements. See more
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about filters on the
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\ref selection_filter_library_page "Selection filter library" page.</li>
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</ul>
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</li>
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<b>Fixed nodes ids:</b> some nodes keep their location during
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smoothing. If a mesh is built on a geometry shape, the nodes built on
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geometrical edges are always fixed. If smoothing is applied to a part
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of a mesh then the boundary nodes of an elements set are also
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fixed. Any other nodes may be additionally fixed. Fixed nodes can be
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selected manually or by filters too.</li>
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<li><b>Smoothing Method:</b>
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<ul>
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<li>\b Laplacian smoothing pulls a node toward the center of
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surrounding nodes directly connected to that node along an element
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edge.
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<li>\b Centroidal smoothing pulls a node toward the
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element-area-weighted centroid of the surrounding elements. </li>
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Typically, the Laplacian method will produce the mesh with the least element
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distortion. It is also the faster method.Centroidal smoothing usually
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produces a mesh that has more uniform element sizes. Both methods
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produce good results with "free" meshes.</li>
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</ul>
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\image html image83.gif
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</li>
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<li><b>Iteration limit:</b> both of the smoothing methods use an
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iterative procedure to converge toward a smoothed mesh. All nodes are
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smoothed according to one of the techniques shown above. Then the
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smoothing is reevaluated with the updated nodal locations. This
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process continues until the maximum number of iterations has been
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exceeded, or all elements has aspect ratio less or equal than the
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specified one.</li>
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<li><b>Max. aspect ratio</b> allows to define the quality at which the
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smoothing algorithm should stop the iterations as the target of the
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operation has been reached.</li>
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<li>When <b>in parametric space</b> radio button is checked, the
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algorithm tries to improve the shape of faces in the parametric space
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of geometrical surfaces on which they are generated, else the shape of
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faces in the 3D space is improved. </li>
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</ul>
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</li>
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<li>Click the \b Apply or \b OK button to confirm the operation.</li>
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</ol>
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\image html smoothing1.png "The initial mesh"
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\image html smoothing2.png "The smoothed mesh"
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<br><b>See Also</b> a sample TUI Script of a
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\ref tui_smoothing "Smoothing" operation.
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*/
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