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85 lines
3.1 KiB
Plaintext
85 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>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 following dialog will appear:
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\image html smoothing.png
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</li>
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<li>In this dialog:
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<ul>
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<li>specify the IDs of the elements which will be smoothed:
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<ul>
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<li><b>Select the whole mesh, submesh or group</b> activating this
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checkbox; or</li>
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<li>choose mesh elements with the mouse in the 3D Viewer. It is
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possible to select a whole area with a mouse frame; or</li>
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<li>input the element IDs directly in <b>ID Elements</b> field. The selected elements will be highlighted in the
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viewer; or</li>
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<li>apply Filters. <b>Set filter</b> button allows to apply a filter to the selection of elements. See more
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about filters in the \ref selection_filter_library_page "Selection filter library" page.</li>
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</ul>
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</li>
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<li>define the <b>Fixed nodes ids</b> that should remain at their location during
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smoothing. If a mesh is built on a shape, the nodes built on its
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geometric edges are always fixed. If the smoothing is applied to a part
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of the mesh, the nodes of boundary elements are also
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fixed. It is possible to additionally fix any other nodes. The fixed nodes can be
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selected manually or by filters, just as the smoothed elements.</li>
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<li>choose the <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 fastest method. Centroidal smoothing usually
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produces a mesh with 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>specify the <b>Iteration limit</b>. Both smoothing methods
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iterate through a number of steps to produce the resulting smoothed
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mesh. At each new step the smoothing is reevaluated with the updated nodal locations. This
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process continues till the limit of iterations has been
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exceeded, or till the aspect ratio of all element is less than or equal to the
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specified one.</li>
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<li>specify the <b>Max. aspect ratio</b> - the target mesh quality at which the
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smoothing algorithm should stop the iterations.</li>
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<li>activate <b>in parametric space</b> checkbox if it is necessary to
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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 \b Apply or <b> Apply and Close</b> 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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