\page cartesian_algo_page Body Fitting 3D meshing algorithm
-Body Fitting algorithm generates hexahedrones of a Cartesian grid in
+Body Fitting algorithm generates hexahedrons of a Cartesian grid in
the internal part of geometry and polyhedra and other types of
-elements at intersection of Cartesian cells with the geometrical
+elements at the intersection of Cartesian cells with the geometrical
boundary.
\image html cartesian3D_sphere.png "A shpere meshed by Body Fitting algorithm"
-Algorithm of meshing is following.
+The meshing algorithm is as follows.
<ol>
<li> Lines of a Cartesian structured grid defined by
\ref cartesian_hyp_anchor "Body Fitting Parameters" hypothesis are
-intersected with the geometry boundary, thus nodes laying on the
+intersected with the geometry boundary, thus nodes lying on the
boundary are found. This step also allows finding out for each node of
the Cartesian grid if it is inside or outside the geometry. </li>
-<li> For each cell of the grid, check how many of it's nodes are outside
+<li> For each cell of the grid, check how many of its nodes are outside
of the geometry boundary. Depending on a result of this check
<ul>
-<li> skip a cell, if all it's nodes are outside </li>
+<li> skip a cell, if all its nodes are outside </li>
<li> skip a cell, if it is too small according to <b> Size
Threshold </b> paremeter</li>
<li> add a hexahedron in the mesh, if all nodes are inside </li>
-<li> add a polyhedron or a cell of other type in the mesh, if some
-nodes are inside and some outside </li>
+<li> add a polyhedron or another cell type in the mesh, if some
+nodes are inside and some outside. </li>
</ul>
</li>
</ol>
-To apply this algorithm, when you define your mesh, select <b>Body
- Fitting</b> in the list of 3D algorithms and click <em>"Add
- Hypothesis"</em> button and <em>"Body Fitting Parameters"</em>" menu
- item. Dialog of <b> Body Fitting Parameters
+To apply this algorithm when you define your mesh, select <b>Body
+ Fitting</b> in the list of 3D algorithms and click <em> "Add
+ Hypothesis" </em> button and <em>"Body Fitting Parameters"</em>" menu
+ item. Dialog of <b>Body Fitting Parameters
hypothesis</b> will appear.
<br>
\image html cartesian3D_hyp.png "Body Fitting Parameters hypothesis dialog"
-This dialog lets you define
+This dialog allows to define
<ul>
<li>\b Name of the algorithm </li>
-<li> Minimal size of a cell truncated be the geometry boundary. If
+<li> Minimal size of a cell truncated by the geometry boundary. If the
size of a truncated grid cell is \b Threshold times less than a
initial cell size, then a mesh element is not created. </li>
<li> Cartesian structured grid. Each grid axis is defined
individually. <b> Definition mode </b> chooses a way of grid
definition: <ul>
- <li> You can specify \b Coordinates of grid nodes. \b Insert button
+ <li> You can specify the \b Coordinates of grid nodes. \b Insert button
inserts a node at distance \b Step (negative or positive) from a
- selected node. \b Delete botton removes a selected node. Double
+ selected node. \b Delete button removes a selected node. Double
click on a coordinate in the list enables its edition. A grid
defined by \b Coordinates should enclose the geometry, else the
algorithm will fail. </li>
- <li> You can define \b Spacing of a grid as an algebraic formular
+ <li> You can define the \b Spacing of a grid as an algebraic formular
<em>f(t)</em> where \a t is a position along a grid axiz
normalized at [0.0,1.0]. The whole range of geometry can be
divided into sub-ranges with their own spacing formulars to apply;
\a t varies between 0.0 and 1.0 within each sub-range. \b Insert button
- divides a selected range into two ones. \b Delete button adds a
- selected sub-range to a previous one. Double click on a range in
+ divides a selected range into two ones. \b Delete button adds the
+ selected sub-range to the previous one. Double click on a range in
the list enables edition of its right boundary. Double click on a
function in the list enables its edition.
</li> </ul>
