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Element Quality Plots in ANSYS® Mechanical (Workbench) 16.0

ANSYS 16 Element Plot 1

Figure 1: Colored Mesh Quality Plot in ANSYS Mechanical (Workbench) 16.0

ANSYS Mechanical (Workbench) 16.0 makes it easy to review element quality during the development of meshing controls, as well as in postprocessing results. Well-shaped elements yield superior results, and help reduce element shape errors during large displacement analysis, such as when using hyperelastic materials with substantial strain.

This article briefly reviews features in the Workbench Mechanical Outline for displaying element quality (1) in color in the Mesh branch, (2) using bar charts of element quality, and (3) plotting element quality in postprocessing after element shapes have been distorted by strain in a model.
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Three Element Quality Techniques
Workbench Mechanical 16.0 has a new feature for reviewing element quality at the Mesh branch, in order to review the consequences of meshing controls prior to solving a model. First, though, here is a view of mesh metrics as they have been measured in Workbench Mechanical in the last few versions of the software:
 

ANSYS 16 Element Plot 2

Figure 2: Mesh Metrics in a Coarse Tet Mesh

To get the above view of mesh Metrics, click the Mesh branch in the Outline, go to Details of “Mesh”, open the Statistics section of the Details, and use the drop-down list for Mesh Metric to select the metric of interest—in the above Figure 2, “Element Quality” has been chosen. Many choices are available:

 

   ANSYS 16 Element Plot 3a       ANSYS 16 Element Plot 3b

Figure 3: Mesh Metric Selection

 

As seen above in Figure 3, the full listing of Mesh Metrics in the Mesh branch in 16.0 is:

  • None
  • Element Quality
  • Aspect Ratio
  • Jacobian Ratio
  • Warping Factor
  • Parallel Deviation
  • Maximum Corner Angle
  • Skewness
  • Orthogonal Quality

After choosing a quality metric, a bar chart is generated showing how many elements fall into ten Element Metrics zones. If one of the ten bars in the chart is clicked by the user with the cursor, then the elements that fall into the zone of that Element Metric are displayed in the Graphics Window. In Figure 4 below, the bar with Element Quality around 0.5 has been clicked, and elements with that quality are shown in the Graphics Window, with the geometry shown translucent in order to give context to the element locations:
 

ANSYS 16 Element Plot 4

Figure 4: Elements Falling into a Mesh Matrics Zone


The second means of viewing element quality is to create color plots. What is new in 16.0 is the ability to produce color charts of a variety of element quality metrics. As seen in Figure 5 below, a mesh quality assessment can be shown in a color plot at the Mesh branch.
 

ANSYS 16 Element Plot 5

Figure 5: Colored Element Quality Plot at the Mesh Branch in v16.0

 

Note first that in order to get the color plots of element quality, in the Statistics section of Details of “Mesh”, the Mesh Metric must be set to “None”, as seen in Figure 5. In the Display Style section of Details of “Mesh” a number of choices are available:
   

ANSYS 16 Element Plot 6a     ANSYS 16 Element Plot 6b

Figure 6: Display Style Selection for Element Quality Type

 

Element coloring is controlled by the “Display Style” drop-down list, as seen in Figure 6 above. Body Color does not show an element quality assessment. The quality plot choices are:

  • Element Quality
  • Aspect Ratio
  • Jacobian Ratio
  • Warping Factor
  • Parallel Deviation
  • Maximum Corner Angle
  • Skewness
  • Orthogonal Quality

Note that some choices for color plots of element quality are not applicable to tetrahedral elements, such as “Parallel Deviation”, which produces a blank or null result.

The third type of element quality assessment that is available is in postprocessing. The elements in their deformed shape are assessed, at a solution time that can be set by the user. The plots are from the User Defined Results list.
 

ANSYS 16 Element Plot 7

Figure 7: Postprocessing Element Shape Quality with User Defined Results

 

In Figure 7 above, note that several element shape quality assessments can be chosen from the listing of User Defined Results. They include:

  • Element Quality
  • Aspect Ratio
  • Jacobian Ratio
  • Warping Factor
  • Parallel Deviation
  • Maximum Corner Angle
  • Skewness

Note that some choices, such as Parallel Deviation, are not applicable to tetrahedral elements, and will produce a null result. As postprocessing results, the element shapes are assessed in the element deformed condition, with element deformation a consequence of strain in the model. The time of the plot produced will default to “Last”, but can be set by a user to any preferred time value. Figure 8 below illustrates.

 

ANSYS 16 Element Plot 8

Figure 8: Mesh Element Quality for Deformed Elements at Time=2.0

 

In Figure 8, the Element Quality shape assessment has been performed on element shapes as deformed by the solution. In the Tabular Data for this solution result, note the difference in the Minimum and Maximum values at Time values of 1.0 and 2.0. This difference is a result of changing loads on the model between times of 1.0 and 2.0.

Conclusions
Workbench Mechanical 16.0 offers three ways to view element shape quality assessments.

While preprocessing, color plots of element quality can be performed by choosing Mesh branch details Display Style drop-down list values, while keeping the Mesh Metric choice set to “None”.

At the Mesh branch, a user can go to Details and use the Statistics >Mesh Metric choice to produce bar charts of the range of a number of element shape assessments.

When evaluating Solution results, User Defined Results can be created for several element shape assessments, which are applied to the deformed elements, yielding colored plots.

In the colored plots, values in the Legend can be user-adjusted, and other review tools can be employed, such as Probe, Min and Max, and the usual contour controls.