Parametric spatial maps

Video: Create a spatial map field

You can define parametric spatial maps for 1D, 2D, and 3D curves, surfaces, and volumes.

• One parametric coordinate is needed to represent a 1D, 2D, or 3D curve.

• Two parametric coordinates are needed to represent a 2D or 3D surface.

• Three parametric coordinates are needed to represent a 3D volume.

Parametric line spatial maps

Use the Parametric Line spatial map type to parametrically define a boundary condition along a 1D, 2D, or 3D curve. You can select points, edges, or points and edges to define the parametric line. The software uses all the objects you select to define a single parametric curve. The value of the parametric coordinate is 0 at the starting point of the curve, and 1 at the end point of the curve.

The following is an example of a parametric line spatial map type used to define a force along an edge.

You can also use the Parametric Line spatial map type to define a boundary condition that varies in only one parametric direction.

The following is an example of a parametric line spatial map type used to define a force over a 3D surface. This is a special case, because the boundary condition only varies in the parametric direction.

Parametric plane spatial maps

Use the Parametric Plane spatial map type to parametrically define a boundary condition over a 2D or 3D surface. Two parametric coordinates are required. Each parametric coordinate ranges from 0 to 1.

The following is an example of a parametric plane spatial map type used to define a boundary condition over a 3D surface.

You can select points, edges, or points and edges to define each parametric direction. You can also define one parametric coordinate and let the software infer the other parametric coordinate. Use the Mapping list options to select how you want to define the parametric coordinate basis.

• If you select the Iso Section option, and the parametric coordinates are denoted by U and V, you select points, edges, or points and edges to define a series of curves where U is a constant value. At least two of these curves are required: one where U = 0 and another where U = 1. Using the curves of constant U, the software infers the V coordinate. This option works well when the geometry is relatively flat in the V-direction.

• If you select the Iso Lines option, you explicitly define both parametric coordinates. The process is the same as when you use the Iso Section option, except that you also have to define a series of curves where V is a constant value. This option is recommended when the geometry is curved in the V-direction.

The following is an example of the Iso Section option. Edges 1 and 2 are selected to define the U parametric coordinate. The software infers the V parametric coordinate.

Parametric space spatial maps

Use the Parametric Space spatial map type to parametrically define a boundary condition over a 3D volume. Three parametric coordinates are required. Each parametric coordinate ranges from 0 to 1.

In a parametric space spatial map, you define a rectangular parallelepiped. The software uses the rectangular parallelepiped to define the parametric directions and the bounds of the parametric space. Use the Mapping list options to select how you want to define the rectangular parallelepiped.

• If you select the Opposite Corner option, you define two points. The software uses the first point as the origin of the parametric coordinate system, and the second point as the opposing vertex of the rectangular parallelepiped. You also define a Cartesian coordinate system from which the software aligns the parametric coordinate directions.

• If you select the Objects option, you select one or more objects. From the set of objects, the software determines the two most distant points. It uses these points as opposing vertices in the rectangular parallelepiped. You also define a Cartesian coordinate system from which the software aligns the parametric coordinate directions.

The following is an example shows a rectangular parallelepiped from which the software derives the U, V, and W parametric coordinate directions.

How do I

Create a surface spatial map

Create a table field along a parametric line

Define a boundary condition along a parametric line using a table field

Create a table field over a parametric plane

Define a boundary condition over a parametric plane using a table field

Learn more

Spatial fields and maps

Surface spatial maps

Axisymmetric spatial maps

Quick links

Command reference

Pre/Post video examples

Bulk Entry Descriptions

Simcenter 3D tutorials

Browse Simcenter 3D help by product area

Parametric spatial maps, Simcenter 3D 2021.1 Series

© 2020 Siemens

window.mainLanguage="en_US"

window.delivId=""

window.projectId=""

MathJax.Hub.Config({ TeX: { extensions: ["autoload-all.js"] }, tex2jax: { displayMath: [ ] }, "SVG": { scale: 125 } });