Linear Extrusion
A Linear Extrusion coupling operator () maps an expression defined on a source to an expression that can be evaluated in the destination. Use this to define a linear mapping of this kind. Linear extrusion can be used when the correspondence between evaluation points in the source and destination is linear and in some nonlinear cases. Otherwise, use a general extrusion coupling. The Linear Extrusion operator defines a linear extrusion that maps between geometric parts of the same dimension. The parts can exist in geometries of different space dimensions. For example, you can couple edges (boundaries) in 2D to edges in 3D; or couple 2D domains to 3D faces. In these cases geometries of different space dimensions are needed for the source and destination. You define the linear extrusion by specifying points in both source and destination. The default Operator name is linext1.
Go to Common Settings for Nonlocal Couplings for information about the Operator Name, Source Selection, Source, Source Vertices, Destination Vertices, and Advanced, sections.
Destination
The mapping from destination to source is defined as the following:
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First, the destination is orthogonally projected onto the linear space spanned by the destination vertices.
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Then this linear space is mapped linearly to the source, so that each destination vertex is mapped to the corresponding source vertex.
Select an option from the Destination geometry list if there is more than one geometry in the model. A linear extrusion operator can only be evaluated on the destination geometry and the destination vertices must be chosen in the destination geometry. Select an option from the Destination frame to evaluate the destination vertex coordinates in the specified frame.
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With the Electrochemistry Module, see Desalination in an Electrodialysis Cell: Application Library path Electrochemistry_Module/Electrochemical_Engineering/electrodialysis.