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179 lines
6.7 KiB
Plaintext
179 lines
6.7 KiB
Plaintext
/*!
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\page a1d_meshing_hypo_page 1D Meshing Hypotheses
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<br>
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<ul>
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<li>\ref arithmetic_1d_anchor "Arithmetic 1D"</li>
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<li>\ref average_length_anchor "Average Length"</li>
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<li>\ref max_length_anchor "Max Size"</li>
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<li>\ref deflection_1d_anchor "Deflection 1D"</li>
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<li>\ref number_of_segments_anchor "Number of segments"</li>
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<li>\ref start_and_end_length_anchor "Start and end length"</li>
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<li>\ref automatic_length_anchor "Automatic Length"</li>
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</ul>
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<br>
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\anchor arithmetic_1d_anchor
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<h2>Arithmetic 1D hypothesis</h2>
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<b>Arithmetic 1D</b> hypothesis allows to split edges into segments with a
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length that changes in arithmetic progression (Lk = Lk-1 + d)
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beginning from a given starting length and up to a given end length.
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\image html a-arithmetic1d.png
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\image html b-ithmetic1d.png "Arithmetic 1D hypothesis - the size of mesh elements gradually increases"
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<b>See Also</b> a sample TUI Script of a
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\ref tui_1d_arithmetic "Defining Arithmetic 1D hypothesis" operation.
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<br>
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\anchor deflection_1d_anchor
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<h2>Deflection 1D hypothesis</h2>
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<b>Deflection 1D</b> hypothesis can be applied for meshing curvilinear edges
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composing your geometrical object. It uses only one parameter: the
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value of deflection.
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\n A geometrical edge is divided into equal segments. The maximum
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distance between a point on the edge within a segment and the line
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connecting the ends of the segment should not exceed the specified
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value of deflection . Then mesh nodes are constructed at end segment
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locations and 1D mesh elements are constructed on segments.
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\image html a-deflection1d.png
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\image html b-flection1d.png "Deflection 1D hypothesis - useful for meshing curvilinear edges"
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<b>See Also</b> a sample TUI Script of a
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\ref tui_deflection_1d "Defining Deflection 1D hypothesis" operation.
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<br>
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\anchor average_length_anchor
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<h2>Average Length hypothesis</h2>
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<b>Average Length</b> hypothesis can be applied for meshing of edges
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composing your geometrical object. Definition of this hypothesis
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consists of setting the \b length of segments, which will split these
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edges, and the \b precision of rounding. The points on the edges
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generated by these segments will represent nodes of your mesh.
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Later these nodes will be used for meshing of the faces abutting to
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these edges.
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The \b precision parameter is used to allow rounding a number of
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segments, calculated from the edge length and average length of
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segment, to the lower integer, if this value outstands from it in
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bounds of the precision. Otherwise, the number of segments is rounded
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to the higher integer. Use value 0.5 to provide rounding to the
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nearest integer, 1.0 for the lower integer, 0.0 for the higher
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integer. Default value is 1e-07.
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\image html image41.gif
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\image html a-averagelength.png
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\image html b-erage_length.png "Average length hypothesis - all 1D mesh elements are roughly equal"
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<b>See Also</b> a sample TUI Script of a
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\ref tui_average_length "Defining Average Length" hypothesis
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operation.
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<br>\anchor max_length_anchor
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<h2>Max Size</h2>
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<b>Max Size</b> hypothesis allows splitting geometrical edges into
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segments not longer than the given length. Definition of this hypothesis
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consists of setting the maximal allowed \b length of segments.
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<b>Use preestimated length</b> check box lets you specify \b length
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automatically calculated basing on size of your geometrical object,
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namely as diagonal of bounding box divided by ten. The divider can be
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changed via "Ratio Bounding Box Diagonal / Max Size"
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preference parameter.
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<b>Use preestimated length</b> check box is enabled only if the
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geometrical object has been selected before hypothesis definition.
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\image html a-maxsize1d.png
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<br>
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\anchor number_of_segments_anchor
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<h2>Number of segments hypothesis</h2>
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<b>Number of segments</b> hypothesis can be applied for meshing of edges
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composing your geometrical object. Definition of this hypothesis
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consists of setting the number of segments, which will split these
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edges. In other words your edges will be split into a definite number
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of segments with approximately the same length. The points on the
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edges generated by these segments will represent nodes of your
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mesh. Later these nodes will be used for meshing of the faces abutting
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to these edges.
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\image html image46.gif
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You can set the type of distribution for this hypothesis in the
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<b>Hypothesis Construction</b> dialog bog :
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\image html a-nbsegments1.png
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<br><b>Equidistant Distribution</b> - all segments will have the same
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length, you define only the <b>Number of Segments</b>.
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<br><b>Scale Distribution</b> - length of segments gradually changes depending on the <b>Scale Factor</b>, which is a ratio of the first segment length to the last segment length.
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\image html a-nbsegments2.png
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<br><b>Distribution with Table Density</b> - you input a number of
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pairs <b>t - F(t)</b>, where \b t ranges from 0 to 1, and the module computes the
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formula, which will rule the change of length of segments and shows
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the curve in the plot. You can select the <b>Conversion mode</b> from
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\b Exponent and <b>Cut negative</b>.
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\image html distributionwithtabledensity.png
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<br><b>Distribution with Analytic Density</b> - you input the formula,
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which will rule the change of length of segments and the module shows
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the curve in the plot.
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\image html distributionwithanalyticdensity.png
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<b>See Also</b> a sample TUI Script of a
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\ref tui_deflection_1d "Defining Number of Segments" hypothesis
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operation.
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<br>
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\anchor start_and_end_length_anchor
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<h2>Start and End Length hypothesis</h2>
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<b>Start and End Length</b> hypothesis allows to divide a geometrical edge
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into segments so that the first and the last segments have a specified
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length. The length medium segments changes with automatically chosen
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geometric progression. Then mesh nodes are
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constructed at segment ends location and 1D mesh elements are
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constructed on them.
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\image html a-startendlength.png
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\image html b-art_end_length.png "The lengths of the first and the last segment are strictly defined"
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<b>See Also</b> a sample TUI Script of a
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\ref tui_start_and_end_length "Defining Start and End Length"
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hypothesis operation.
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<br>
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\anchor automatic_length_anchor
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<h2>Automatic Length</h2>
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This hypothesis is automatically applied when you select <b>Assign a
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set of hypotheses</b> option in Create Mesh menu.
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\image html automaticlength.png
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The dialog box prompts you to define the quality of the future mesh by
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only one parameter, which is \b Fineness, ranging from 0 (coarse mesh,
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low number of elements) to 1 (extremely fine mesh, great number of
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elements). Compare one and the same object (sphere) meshed with
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minimum and maximum value of this parameter.
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\image html image147.gif "Example of a very rough mesh. Automatic Length works for 0."
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\image html image148.gif "Example of a very fine mesh. Automatic Length works for 1."
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*/
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