Boundary Similarity
The Boundary Similarity coupling operator () maps an expression defined on a part of a boundary to another part of a boundary with the same shape. This operator is slightly different for 2D and 3D models:
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In 3D, the destination map is a similarity that maps a destination boundary onto a set of source boundaries. The mesh is always viewed in the geometry frame. By default, the algorithm automatically chooses a map when symmetries make several maps possible. To control this choice in 3D, add a One-Point Map (), Two-Point Map (), or Edge Map subnode ().
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Edge Map: Specify that a certain destination edge should be mapped onto a certain source edge. The edge’s relative direction is given by the property direction. The edges must be adjacent to the given boundary.
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One-Point Map: Specify that a certain destination vertex should be mapped onto a certain source vertex.
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Two-Point Map: Specify that two destination vertices should be mapped onto two source vertices.
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In 2D, it works the same except the destination map is a similarity that maps a destination edge onto a set of source edges and there are no subnodes to add.
The default Operator name is bndsim1.
Go to Common Settings for Nonlocal Couplings for information about the Operator Name, Source Boundaries, and Destination Boundary sections, as well as the rest of the Advanced section.
Advanced
For 2D models, select a relative Direction of the source and destination edges: Automatic orientation (the default), Same orientation, or Opposite orientation. This specifies the relative direction of the source and boundary edges and specifies which one of the two possible similarity mappings between the source and destination edge to use.
For 3D models, a similar direction functionality is provided by the subnodes One-Point Map, Two-Point Map, and Edge Map to exactly specify the similarity mapping between the source and destination when more than one possibility exists.
Select the Use source map check box to have a nonlinear correspondence between the source and destination. The source map is specified by entering expressions in the x-expression, y-expression, and z-expression fields.
Only one map node is allowed per boundary similarity coupling and only one source or destination point per field is allowed.