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90 lines
3.3 KiB
Plaintext
90 lines
3.3 KiB
Plaintext
/*!
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\page smoothing_page Smoothing
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\n Smoothing is used to improve quality of 2D mesh by adjusting the
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locations of element corners (nodes).
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\note Depending on the chosen method and mesh geometry
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the smoothing can actually decrease the quality of elements and even
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make some elements inverted.
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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, sub-mesh or group</b> activating this
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check-box; 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
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selected elements will be highlighted in the viewer; or</li>
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<li>apply Filters. <b>Set filters</b> button allows to apply a filter
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to the selection of elements. See more about filters in the
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\ref filtering_elements "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
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location during smoothing. If a mesh is built on a shape, the nodes
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built on its geometric edges are always fixed. If the smoothing is
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applied to a part of the mesh (a set of element), the nodes on
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boundary of the element set are also fixed. It is possible to
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additionally fix any other nodes. The fixed nodes can be selected
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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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Laplacian method will produce the mesh with the least element
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edge length. It is also the fastest method. Centroidal smoothing
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produces a mesh with more uniform element sizes.</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 iterate
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through a number of steps to produce the resulting smoothed mesh. At
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each new step the smoothing is reevaluated with the updated nodal
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locations. This process continues till the limit of iterations has
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been exceeded, or till the aspect ratio of all element is less than
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or equal to the specified one.</li>
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<li>specify the <b>Max. aspect ratio</b> - the target mesh quality at
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which the smoothing algorithm should stop the iterations.</li>
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<li>activate <b>in parametric space</b> check-box if it is necessary to
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improve the shape of faces in the parametric space of geometrical
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surfaces on which they are generated, else the shape of faces in the
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3D space is improved that is suitable for <b>planar meshes only</b>. </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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