Biasing on Edge mesh controls

Use the Biasing on Edge type of Mesh Control to specify a ratio that controls the distribution of nodes along a selected edge so that the interval between the nodes is not uniform. Biasing produces a series of node locations which are more dense in one region of the edge and more coarse in the other regions. With the Biasing on Edge type, the software uses the specified number of elements and applies a geometric progression to find the distribution of those nodes along the edge. The software then uses this distribution to generate the nodes.

You can use the Bias Origin, Edge Fraction, and Bias Ratio options to control how the software distributes the nodes along the edge.

Specifying the bias origin

Use the Bias Origin options to control where on the edge the nodes are more dense: at the beginning, end, or center. For example, in this figure (A) shows a mapped mesh with no bias, while (B) shows a mapped mesh with a bias at the center of the right edge.

• Select Start of Edge or End of Edge to bias the distribution of nodes towards either the beginning or end of an edge.

• Select Center of Edge to bias the distribution of nodes towards the center of an edge.Center of Edge biasing example

Specifying the bias ratio

You can use the Bias Ratio option to control the spacing between the nodes based on arc length. For example:

• You select Start of Edge biasing, specify Number of Elements as 6 and a Bias Ratio of 0.5. If s is the parameter value of a node location on the edge, s varies from 0 to 1. When you generate the mesh, the software creates a cluster of nodes from the beginning of the edge to somewhere just past the center of the edge. Each node’s parameter will be 1/0.5, or 2 times the previous node’s parameter.

• You select Start of Edge biasing, specify Number of Elements as 6 and a Bias Ratio of 2.0. If s is the parameter value of a node location on the edge, s varies from 0 to 1. When you generate the mesh, the software creates a cluster of nodes from the beginning of the edge to somewhere just past the center of the edge. Each node’s parameter will be 1/2.0, or 0.5 times the previous node’s parameter.

Similarly:

• If you select Center of Edge biasing and specify a Bias Ratio of 3, when you generate the mesh, the elements at the center of the edge will have approximately 3x the length of elements generated at the ends of the edge.

• If you select Center of Edge biasing and specify a Bias Ratio of 0.3, when you generate the mesh, the elements at the center of the edge will have approximately 1/3 the length of the elements generated at the ends of the edge.

Specifying the edge fraction to which to apply the biasing

If you select Start of Edge or End of Edge from the Bias Origin list, you can then use the Edge Fraction option to control the portion of the edge to which the software applies the biasing. For example:

• An Edge Fraction value of 1 applies biasing to the entire edge.

• An Edge Fraction value of 0.25 with the Start of Edge option applies a band length 0.25 times the edge length, at the start of the edge, will get nodes distributed according to the geometric progression algorithm. The software distributes the nodes evenly along the remaining 0.75 of the edge.

Applying biasing across multiple selected edges or curves

When you create a Biasing on Edge mesh control and select one or more edges, the software now uses the first edge you select as the seed edge that determines the direction in which the software biases the elements along the selected edges. This ensures that the bias direction is consistent across all the edges you select, if you select more than one. The software uses arrows to indicate the default bias direction. To change this direction, select an option from the Bias Origin list.

After you select the seed edge, the software applies the direction vector to the edges you select as long as the angle between those edges is less than 179°. If the angle is more than 179°, the software reverses the biasing direction to avoid a conflict. If this occurs, you may need to create multiple Biasing on Edge mesh controls to ensure that all edges have the biasing direction that you want.

Where do I find it?

Application	Pre/Post
Prerequisite	A FEM file as the work part and displayed part
Command Finder	Mesh Control
Menu	Insert→Mesh→Mesh Control

How do I

Create a Biasing on Edge density

Quick links

Command reference

Pre/Post video examples

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Biasing on Edge mesh controls, Simcenter 3D 2021.1 Series

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