NODAL SHAPES

The shape mesh displacement may be defined using the NODAL_SHAPES command where the nodal shape file contains the displacements of all three coordinate directions for each design optimization variable. The shape file, such as shapes.xyzsp, has a simple file structure where the first column is the node identification number, and the remaining columns are the displacements corresponding to this node for all design optimization variables. For example, if there are 10 design optimization variables, the file shapes.xyzsp has 11 columns, one node column and an x-displacement for each of the 10 design optimization variables. There is one row for each node in the shape; assume there are N rows. The y-displacements and z-displacements are also listed concatenated to the bottom of the file. For example:

Figure 1.

Where the subscripts for each $\delta x_i{}^j$ , $\delta y_i{}^j$ and $\delta z_i{}^j$ are associated with the nodal identification number $n_i$ and the superscript is associated with the shape, or more precisely the design optimization variable.

NODAL_SHAPES( "NODAL_SHAPES.1" ) {
    mesh_motion_precedence = 1
    design_variables = { "DV1", "DV2", "DV3", "DV4", "DV5", "DV6", "DV7" }
    nodal_morphs = Read( "shapes.NODAL_SHAPES.1.xyzsp" )
}