Axisymmetric spatial maps

You can create spatial maps that have an axisymmetric spatial domain. The benefit of this kind of a spatial map is that the software can apply the axisymmetric spatial field, which is 2D, across a 3D model.

To create a spatial map that has an axisymmetric spatial domain, an axisymmetric plane must be your independent domain.

Typical applications for this capability include:

• Using axisymmetric thermal results in a 3D structural model

• Mapping axisymmetric pressure data to a 3D surface

In both of these applications, you can use either a table field or a formula field.

• If you can describe how the dependent domain varies in the axisymmetric plane with a closed-form mathematical expression, use a formula field.

• If you can only describe how the dependent domain varies in the axisymmetric plane with tabular data, use a table field.

Because tabular data is much more common, the following workflows use table fields. It is a simple matter to adapt them to a formula field.

Workflow for using axisymmetric thermal results in a 3D structural model

Suppose you want to perform a thermal stress analysis on a model that has axisymmetric geometry, material properties, and thermal boundary conditions, but also has non-axisymmetric structural boundary conditions.

1. Create an axisymmetric thermal model for the thermal analysis.

2. Using the results of the thermal analysis, create a data file that contains the nodal coordinates and the corresponding nodal temperatures.

3. Create a non-axisymmetric structural model.

4. When you create the solution, select a 2D solid option from the 2D Solid Option list. Make sure the axial direction of the 2D solid option is the same as that of the structural model.

5. In the structural model, create a table field using an axisymmetric plane as the independent domain, and temperature as the dependent domain.

6. Import the data file with the nodal coordinates and nodal temperatures to define the tabular data for the table field.

7. Create a temperature load for the structural model using the table field.

During the solve of the structural model:

• If you used a table field, the software calculates the radial and axial coordinates for each node. Using these coordinates, the software interpolates the table field data to obtain the temperature at each node.

• If you used a formula field, the software calculates the radial and axial coordinates for each node. Using these coordinates, the software calculates the temperature at each node from the formula field expression.

Workflow for mapping axisymmetric pressure data to a 3D surface

Suppose you want to perform an axisymmetric CFD analysis and use the pressure results in a non-axisymmetric structural model.

1. Using the results of the CFD analysis, create a data file with columns of data that contain radial and axial coordinates, and the corresponding pressures.

2. Create a non-axisymmetric structural model.

3. When you create the solution, select a 2D solid option from the 2D Solid Option list. Make sure the axial direction of the 2D solid option is the same as that of the structural model.

4. In the structural model, create a table field using an axisymmetric plane for the independent domain, and pressure as the dependent domain.

5. Import the data file with the nodal coordinates and nodal pressures to define the tabular data for the table field.

6. Create a pressure load for the structural model using the table field.Because you are applying a 3D table field to 3D surfaces, you may want to define the table field as a surface spatial map.

During the solve of the structural model:

• If you used a table field, the software calculates the radial and axial coordinates for each node that lies on the surfaces where the pressure load acts. Using these coordinates, the software interpolates the table field data to obtain the pressure at each node.

• If you used a formula field, the software calculates the radial and axial coordinates for each node that lies on the surfaces where the pressure load acts. Using these coordinates, the software calculates the pressure at each node from the formula field expression.

Examples of surfaces you might apply such a pressure load to include:

• Surfaces that are generated by revolving a curve that lies in the axisymmetric plane about the axisymmetric axis. For these surfaces, the pressure acts in the radial-axial plane.

• Cyclic symmetric surfaces like turbine blades that are modeled with plane stress elements that lie in the radial-axial plane. For these surfaces, the pressure acts in the radial-axial plane along the edges of the plane stress elements.

• Cyclic symmetric surfaces like turbine blades that are modeled with solid or shell elements. For these surfaces, the pressure acts normal to the solid or shell element faces.

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

Parametric spatial maps

Surface spatial maps

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Axisymmetric spatial maps, Simcenter 3D 2021.1 Series

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