Parameterization Objects Reference

Specific nodes referenced here are:

[Axisymmetric node]
[Blade node]
Meridional
Spanwise
Circumferential
Parameterization Field Functions

Parameterizations Node Action

These are the pop-up menu items available when you right-click the Parameterizations node.

New: Adds an axisymmetric or blade geometry from the submenu.

[Axisymmetric node] Properties

This node contains direction parameter sub-nodes for an axisymmetric geometry: Meridional (from inlet to outlet), Spanwise (from hub to shroud), and Circumferential (the direction around the rotational axis).

Cylindrical coordinate system: Specifies the coordinate system aligned with the domain axis of revolution. See Coordinate Systems.
Geometry: Selects the geometry parts or regions that participate in the parameterization. In the parameter direction child nodes, you can only choose surfaces from the parts or regions chosen here.; You can choose to allocate only some parts or regions to a parameterization, and create further parameterizations for other parts or regions.; For models with multiple blade rows, parts or regions must be contiguous within the same parameterization.
Computation mesh resolution: Defines the resolution of the 2D regular mesh that is used for computing parameters. The resolution is defined in the meridional and spanwise directions (first and second values respectively) for a constant circumferential angle (theta). The resolution is defined per row; thus for domains with multiple rows in the meridional direction, the total resolution of the computational mesh in the meridional direction is the user-provided resolution multiplied by the number of rows.; Adjusting the mesh resolution different from the default settings is unlikely to be required in most simulations.

[Blade node] Properties

This node contains the following properties for selecting connected surfaces for the parts of a blade, as well as the associated axisymmetric parameterization.

For post-processing, blade parameterization is only defined on those blade surfaces that you select as inputs to this object. If other surfaces or derived parts are shown that use the same region as the blade parameterization inputs, a value of 0 is shown.

Pressure-side Blade Surfaces
Suction-side Blade Surfaces
Axisymmetric Parameterization
Leading Edge
Trailing Edge

Meridional Properties

For the meridional (or streamwise) direction, you select surfaces through which the flow passes from inlet to outlet.

Min: Identifies one or more bounding surfaces by which flow enters the parameterized domain.
Max: Identifies one or more bounding surfaces by which flow leaves the parameterized domain.
Interfaces: Selects one or more surfaces defining the interfaces between rows in a multi-row setup. Each interface is defined by the outlet surfaces of one row and the inlet surfaces of its neighboring row.

Spanwise Properties

For the spanwise (radial) direction, you select surfaces of the hub and the shroud.

Min: Identifies the surfaces that compose the hub.
Max: Identifies the surfaces that compose the shroud.

Circumferential Properties

Specifies the theta direction around the rotational axis.

In the current version of Simcenter STAR-CCM+, the geometry of a full 360-deg turbomachine is not yet supported. Therefore you specify this direction using periodic surfaces.

Min: Selects periodic surfaces that define the lower circumferential bound.
Max: Selects periodic surfaces that define the higher circumferential bound.

Parameterization Field Functions

Axisymmetric Parameterizations

This set of field functions is automatically generated for each axisymmetric parameterization. The object names are given as examples from an axisymmetric geometry node named Axisymmetric 1. When you rename an axisymmetric geometry node, the names of these field functions reflect that change automatically.


Function	Notation	Range	Description
Axisymmetric 1 M	$m$	$[0, ..., m_{\max}]$	Arclength from inlet to outlet. Dimensions: length.
Axisymmetric 1 M Normalized	$\bar{m}$	$[0, ..., n]$	Normalized arclength from inlet to outlet. Dimensionless. $n$ is the number of rows in the meridional direction.
Axisymmetric 1 M Prime	$m^{'}$	$[0, ..., {m^{'}}_{\max}]$	Arclength from inlet to outlet scaled by the inverse radius (1/ $r$ ). Dimensionless.
Axisymmetric 1 M Prime Normalized	${\bar{m}}^{'}$	$[0, ..., n]$	Arclength from inlet to outlet scaled by the inverse radius (1/ $r$ ) and normalized. Dimensionless. $n$ is the number of rows in the meridional direction.
Axisymmetric 1 S	$s$	$[0, ..., s_{\max}]$	Arclength from hub to shroud. Dimensions: length.
Axisymmetric 1 S Normalized	$\bar{s}$	$[0, ..., 1]$	Normalized arclength from hub to shroud. Dimensionless.

Blade Parameterizations

This set of field functions is automatically generated for each axisymmetric parameterization. The blade vertices are essentially mapped to a 2D rectangle that goes from -1 to 1 in one direction and 0 to 1 in the other. The object names are given as examples from a blade geometry node named Blade 1.


Function	Description
Blade 1 Leading-Trailing	From -1 at the trailing edge, across the suction side of the blade to the leading edge where the value is 0, and across the pressure side back to the trailing edge where the value is +1.
Blade 1 Root-Tip	From 0 at the root of the blade to 1 at the tip of the blade.