Basic 1D hypothesis specifies:
<ul>
<li>how \ref a1d_algos_anchor "Wire Discretization" should divide the edge;</li>
-<li>how \ref a1d_algos_anchor "Composite Side Discretization" should divide the group of C1-continues edges.</li>
+<li>how \ref a1d_algos_anchor "Composite Side Discretization" should divide the group of C1-continuous edges.</li>
</ul>
-By type of nodes distribution the 1D hypotheses can be categorized as follows:
+1D hypotheses can be categorized by type of nodes distribution as follows:
<ul>
-<li>Uniform distribution
+<li>Uniform distribution:
<ul>
<li>\ref average_length_anchor "Local Length"</li>
<li>\ref max_length_anchor "Max Size"</li>
- <li>\ref number_of_segments_anchor "Number of segments" with Equidistant distribution</li>
+ <li>\ref number_of_segments_anchor "Number of Segments" with Equidistant distribution</li>
<li>\ref automatic_length_anchor "Automatic Length"</li>
</ul></li>
-<li>Constantly increasing or decreasing length of segments
+<li>Constantly increasing or decreasing length of segments:
<ul>
- <li>\ref arithmetic_1d_anchor "Arithmetic 1D"</li>
+ <li>\ref arithmetic_1d_anchor "Arithmetic Progression"</li>
<li>\ref geometric_1d_anchor "Geometric Progression"</li>
<li>\ref start_and_end_length_anchor "Start and end length"</li>
- <li>\ref number_of_segments_anchor "Number of segments" with Scale distribution</li>
+ <li>\ref number_of_segments_anchor "Number of Segments" with Scale distribution</li>
</ul></li>
-<li>Distribution depending on curvature
+<li>Distribution depending on curvature:
<ul>
<li>\ref adaptive_1d_anchor "Adaptive"</li>
- <li>\ref deflection_1d_anchor "Deflection 1D"</li>
+ <li>\ref deflection_1d_anchor "Deflection"</li>
</ul></li>
-<li>Arbitrary distribution
+<li>Arbitrary distribution:
<ul>
- <li>\ref fixed_points_1d_anchor "Fixed points 1D"</li>
- <li>\ref number_of_segments_anchor "Number of segments" with
+ <li>\ref fixed_points_1d_anchor "Fixed Points"</li>
+ <li>\ref number_of_segments_anchor "Number of Segments" with
\ref analyticdensity_anchor "Analytic Density Distribution" or Table Density Distribution</li>
</ul></li>
</ul>
- <b>Max size</b> parameter defines the length of segments on straight edges.
- \b Deflection parameter gives maximal distance of a segment from a curved edge.
-\image html adaptive1d_sample_mesh.png "Adaptive hypothesis and Netgen 2D algorithm - the size of mesh segments reflects the size of geometrical features"
+\image html adaptive1d_sample_mesh.png "Adaptive hypothesis and NETGEN 2D algorithm - the size of mesh segments reflects the size of geometrical features"
<b>See Also</b> a \ref tui_1d_adaptive "sample TUI Script" that uses Adaptive hypothesis.
<br>
\anchor arithmetic_1d_anchor
-<h2>Arithmetic 1D hypothesis</h2>
+<h2>Arithmetic Progression hypothesis</h2>
-<b>Arithmetic 1D</b> hypothesis allows to split edges into segments with a
+<b>Arithmetic Progression</b> hypothesis allows to split edges into segments with a
length that changes in arithmetic progression (Lk = Lk-1 + d)
beginning from a given starting length and up to a given end length.
selecting the edges or groups of edges in the Object Browser. Use \b
Add button to add the selected edges to the list.
+\ref reversed_edges_helper_anchor "Helper" group assists you in
+defining <b>Reversed Edges</b> parameter.
+
+
\image html a-arithmetic1d.png
-\image html b-ithmetic1d.png "Arithmetic 1D hypothesis - the size of mesh elements gradually increases"
+\image html b-ithmetic1d.png "Arithmetic Progression hypothesis - the size of mesh elements gradually increases"
<b>See Also</b> a sample TUI Script of a
-\ref tui_1d_arithmetic "Defining Arithmetic 1D and Geometric Progression hypothesis" operation.
+\ref tui_1d_arithmetic "Defining Arithmetic Progression and Geometric Progression hypothesis" operation.
<br>
\anchor geometric_1d_anchor
selecting the edges or groups of edges in the Object Browser. Use \b
Add button to add the selected edges to the list.
+\ref reversed_edges_helper_anchor "Helper" group assists you in
+defining <b>Reversed Edges</b> parameter.
+
\image html a-geometric1d.png
<b>See Also</b> a sample TUI Script of a
-\ref tui_1d_arithmetic "Defining Arithmetic 1D and Geometric Progression hypothesis" operation.
+\ref tui_1d_arithmetic "Defining Arithmetic Progression and Geometric Progression hypothesis" operation.
<br>
\anchor deflection_1d_anchor
-<h2>Deflection 1D hypothesis</h2>
+<h2>Deflection hypothesis</h2>
-<b>Deflection 1D</b> hypothesis can be applied for meshing curvilinear edges
+<b>Deflection</b> hypothesis can be applied for meshing curvilinear edges
composing your geometrical object. It defines only one parameter: the
value of deflection (or chord error).
\image html a-deflection1d.png
-\image html b-flection1d.png "Deflection 1D hypothesis - useful for meshing curvilinear edges"
+\image html b-flection1d.png "Deflection hypothesis - useful for meshing curvilinear edges"
<b>See Also</b> a sample TUI Script of a
-\ref tui_deflection_1d "Defining Deflection 1D hypothesis" operation.
+\ref tui_deflection_1d "Defining Deflection hypothesis" operation.
<br>
\anchor average_length_anchor
consists of setting the \b length of segments, which will approximate these
edges, and the \b precision of rounding.
-The \b precision parameter is used to round a number of segments,
-calculated by dividing the edge length by the specified \b length of
-segment, to the higher integer if the remainder exceeds the precision
-and to the lower integer otherwise. Use value 0.5 to provide rounding
-to the nearest integer, 1.0 for the lower integer, 0.0 for the higher
-integer. Default value is 1e-07.
+The \b precision parameter is used to round a <em>number of segments</em>,
+calculated by dividing the <em>edge length</em> by the specified \b length of
+segment, to the higher integer if the \a remainder exceeds the \b precision
+and to the lower integer otherwise. <br>
+Use value 0.5 to provide rounding to the nearest integer, 1.0 for the lower integer, 0.0 for the higher integer. Default value is 1e-07.
+
+For example: if <em>edge length</em> is 10.0 and the segment \b length
+is 3.0 then their division gives 10./3. = 3.33(3) and the \a remainder is 0.33(3).
+If \b precision is less than 0.33(3) then the edge is divided into 3 segments.
+If \b precision is more than 0.33(3) then the edge is divided into 4 segments.
+
\image html image41.gif
<b>Use preestimated length</b> check box lets you use \b length
automatically calculated basing on size of your geometrical object,
namely as diagonal of bounding box divided by ten. The divider can be
-changed via "Ratio Bounding Box Diagonal / Max Size"
+changed via \ref diagonal_size_ratio_pref "Ratio Bounding Box Diagonal / Max Size"
preference parameter.
<b>Use preestimated length</b> check box is enabled only if the
geometrical object has been selected before hypothesis definition.
<br>
\anchor number_of_segments_anchor
-<h2>Number of segments hypothesis</h2>
+<h2>Number of Segments hypothesis</h2>
-<b>Number of segments</b> hypothesis can be applied for approximating
+<b>Number of Segments</b> hypothesis can be applied for approximating
edges by a definite number of mesh segments with length depending on
-the selected type of distribution of nodes.
+the selected type of distribution of nodes. The default number of
+segments can be set via
+\ref nb_segments_pref "Automatic Parameters / Default Number of Segments"
+preference parameter.
The direction of the splitting is defined by the orientation of the
-underlying geometrical edge. <b>"Reverse Edges"</b> list box allows to
+underlying geometrical edge. <b>Reverse Edges</b> list box allows to
specify the edges for which the splitting should be made in the
direction opposing to their orientation. This list box is enabled only
if the geometry object is selected for the meshing. In this case it is
in the 3D viewer or by selecting the edges or groups of edges in the
Object Browser.
-\image html image46.gif
+\ref reversed_edges_helper_anchor "Helper" group assists you in
+defining <b>Reversed Edges</b> parameter.
You can set the type of node distribution for this hypothesis in the
<b>Hypothesis Construction</b> dialog bog :
distribution as blue crosses. The node distribution is computed in the
same way as for
\ref analyticdensity_anchor "Distribution with Analytic Density". You
-can select the <b>Conversion mode</b> from\b Exponent and <b>Cut
-negative</b>.
+can select the <b>Conversion mode</b> from \b Exponent and <b>Cut
+negative</b>.
\image html distributionwithtabledensity.png
\ref tui_deflection_1d "Defining Number of Segments" hypothesis
operation.
+\note The plot functionality is available only if GUI module is built with Plot 2D Viewer (option SALOME_USE_PLOT2DVIEWER is ON when building GUI module).
<br>
\anchor start_and_end_length_anchor
geometric progression.
The direction of the splitting is defined by the orientation of the
-underlying geometrical edge. <b>"Reverse Edges"</b> list box allows to
+underlying geometrical edge. <b>Reverse Edges</b> list box allows to
specify the edges, for which the splitting should be made in the
direction opposing to their orientation. This list box is enabled only
if the geometry object is selected for the meshing. In this case it is
in the 3D viewer or by selecting the edges or groups of edges in the
Object Browser.
+\ref reversed_edges_helper_anchor "Helper" group assists you in
+defining <b>Reversed Edges</b> parameter.
+
+
\image html a-startendlength.png
\image html b-art_end_length.png "The lengths of the first and the last segment are strictly defined"
<br>
\anchor fixed_points_1d_anchor
-<h2>Fixed points 1D hypothesis</h2>
+<h2>Fixed Points hypothesis</h2>
-<b>Fixed points 1D</b> hypothesis allows splitting edges through a
+<b>Fixed Points</b> hypothesis allows splitting edges through a
set of points parametrized on the edge (from 1 to 0) and a number of
segments for each interval limited by the points.
-\image html hypo_fixedpnt_dlg.png
+\image html hypo_fixedpnt_dlg.png
It is possible to check in <b>Same Nb. Segments for all intervals</b>
option and to define one value for all intervals.
The splitting direction is defined by the orientation of the
-underlying geometrical edge. <b>"Reverse Edges"</b> list box allows to
+underlying geometrical edge. <b>Reverse Edges</b> list box allows to
specify the edges for which the splitting should be made in the
direction opposite to their orientation. This list box is enabled only
if the geometrical object is selected for meshing. In this case it is
the 3D viewer or selecting the edges or groups of edges in the
Object Browser.
-\image html mesh_fixedpnt.png "Example of a sub-mesh on the edge built using Fixed points 1D hypothesis"
+\ref reversed_edges_helper_anchor "Helper" group assists in
+defining <b>Reversed Edges</b> parameter.
+
+
+\image html mesh_fixedpnt.png "Example of a sub-mesh on the edge built using Fixed Points hypothesis"
<b>See Also</b> a sample TUI Script of a
\ref tui_fixed_points "Defining Fixed Points" hypothesis operation.
+\anchor reversed_edges_helper_anchor
+<h2>Reversed Edges Helper</h2>
+
+\image html rev_edges_helper_dlg.png
+
+\b Helper group assists in defining <b>Reversed Edges</b>
+parameter of the hypotheses depending on edge direction.
+
+<b>Show whole geometry</b> check-box allows seeing the whole
+geometrical model in the 3D Viewer, which can help to understand the
+location of a set of edges within the model.
+
+<b>Propagation chains</b> group allows defining <b>Reversed Edges</b>
+for splitting opposite edges of quadrilateral faces in a logically
+uniform direction. When this group is activated, the list is filled
+with propagation chains found within the shape on which a hypothesis
+is assigned. When a chain is selected in the list its edges are shown
+in the Viewer with arrows, which enables choosing a common direction
+for all chain edges. \b Reverse button inverts the common direction of
+chain edges. \b Add button is active if some edges of a chain have a
+different direction, so you can click \b Add button to add them
+to <b>Reversed Edges</b> list.
+
+\image html propagation_chain.png "The whole geometry and a propagation chain"
+
+\note Alternatively, uniform direction of edges of one propagation
+chain can be achieved by
+\ref constructing_submeshes_page "definition of a sub-mesh" on one
+edge of the chain and assigning a
+\ref propagation_anchor "Propagation" additional hypothesis.
+Orientation of this edge (and hence of all the rest edges of the chain) can be
+controlled by using <b>Reversed Edges</b> field.
+
*/
