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76 lines
3.1 KiB
Plaintext
76 lines
3.1 KiB
Plaintext
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/*!
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\page cartesian_algo_page Body Fitting 3D meshing algorithm
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Body Fitting algorithm generates hexahedrons of a Cartesian grid in
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the internal part of geometry and polyhedrons and other types of
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elements at the intersection of Cartesian cells with the geometrical
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boundary.
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\image html cartesian3D_sphere.png "A shpere meshed by Body Fitting algorithm"
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The meshing algorithm is as follows.
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<ol>
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<li> Lines of a Cartesian structured grid defined by
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\ref cartesian_hyp_anchor "Body Fitting Parameters" hypothesis are
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intersected with the geometry boundary, thus nodes lying on the
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boundary are found. This step also allows finding out for each node of
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the Cartesian grid if it is inside or outside the geometry. </li>
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<li> For each cell of the grid, check how many of its nodes are outside
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of the geometry boundary. Depending on a result of this check
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<ul>
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<li> skip a cell, if all its nodes are outside </li>
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<li> skip a cell, if it is too small according to <b> Size
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Threshold </b> parameter</li>
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<li> add a hexahedron in the mesh, if all nodes are inside </li>
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<li> add a polyhedron or another cell type in the mesh, if some
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nodes are inside and some outside. </li>
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</ul>
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</li>
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</ol>
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To apply this algorithm when you define your mesh, select <b>Body
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Fitting</b> in the list of 3D algorithms and click <em> "Add
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Hypothesis" </em> button and <em>"Body Fitting Parameters"</em>" menu
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item. Dialog of <b>Body Fitting Parameters
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hypothesis</b> will appear.
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<br>
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\anchor cartesian_hyp_anchor
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<h2>Body Fitting Parameters hypothesis</h2>
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\image html cartesian3D_hyp.png "Body Fitting Parameters hypothesis dialog"
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This dialog allows to define
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<ul>
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<li>\b Name of the algorithm </li>
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<li> Minimal size of a cell truncated by the geometry boundary. If the
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size of a truncated grid cell is \b Threshold times less than a
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initial cell size, then a mesh element is not created. </li>
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<li> Cartesian structured grid. Each grid axis is defined
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individually. <b> Definition mode </b> chooses a way of grid
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definition: <ul>
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<li> You can specify the \b Coordinates of grid nodes. \b Insert button
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inserts a node at distance \b Step (negative or positive) from a
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selected node. \b Delete button removes a selected node. Double
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click on a coordinate in the list enables its edition. A grid
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defined by \b Coordinates should enclose the geometry, else the
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algorithm will fail. </li>
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<li> You can define the \b Spacing of a grid as an algebraic formula
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<em>f(t)</em> where \a t is a position along a grid axis
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normalized at [0.0,1.0]. The whole range of geometry can be
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divided into sub-ranges with their own spacing formulas to apply;
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\a t varies between 0.0 and 1.0 within each sub-range. \b Insert button
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divides a selected range into two ones. \b Delete button adds the
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selected sub-range to the previous one. Double click on a range in
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the list enables edition of its right boundary. Double click on a
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function in the list enables its edition.
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</li> </ul>
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</li>
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</ul>
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<br>
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<b>See Also</b> a sample TUI Script of a
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\ref tui_cartesian_algo "Usage of Body Fitting algorithm".
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*/
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