Advanced Options for Smoothing the Mesh

Prism Warpage Ratio

Prisms are smoothed based on a balance between prism warpage and prism aspect ratio. Values from 0.01 to 0.50 favor improving the prism aspect ratio, while those from 0.50 to 0.99 favor improving prism warpage. A value of 0.5 favors neither. The farther the value is from 0.5, the greater the effect.

Stay on geometry

The default is, when a grid is smoothed, the nodes are restricted to the geometry -- surface, curves and points -- and can be moved only along the geometrical entities to which they are associated.

Violate Geometry

Enabling this feature allows the smoothing operation to yield a higher quality mesh by violating the constraints of the geometry. The nodes can be moved off the geometry to obtain better mesh quality, as long as the movement remains within the absolute distance specified.

Relative Tolerance

This feature works much like Violate Geometry except that the distance is relative here.

Allow refinement

If the quality of the mesh cannot be improved through normal algebraic smoothing, the Allow refinement feature will enable the smoother to automatically subdivide elements to obtain further improvement. After smoothing with Allow refinement enabled, it may be necessary to smooth further with the feature disabled. The goal is to reduce the number of elements that are attached to one vertex by refinement in problem regions.

Laplace smoothing

This feature will solve the Laplace equation, which will generally yield a more uniformly spaced mesh.


Note:  This can sometimes lead to a lower determinant quality of the prisms. Also, this feature works only for the triangular surface mesh.


Allow node merging

This feature will collapse and remove the worst tetra and prism elements when smoothing in order to obtain a higher quality mesh. This is enabled by default, and is often very useful in improving the grid quality.

Not just worst 1%

This feature will smooth all of the geometry's elements to the assigned quality (specified under Up to quality) not just focus on the worst 1% of the mesh. Typically, when a mesh is smoothed, the smoother concentrates on improving the worst regions; this feature will allow the smoother to continue smoothing beyond the worst regions until the desired quality is obtained.

Surface fitting

This feature will smooth the mesh, keeping the nodes and the new mesh restricted to the surface of the geometry. Only Hexa models will use this feature.

Ignore PrePoints

This feature will allow the smoother to attempt to improve the mesh quality without being bound by the initial points of the geometry. This feature is similar to the Violate geometry feature, but works only for points located on the geometry. This feature is available only when there are hexahedral elements in the model. Usually, the best way to improve the quality of grids that cannot be smoothed above a certain level is to concentrate on the surface mesh near the bad elements and edit this surface mesh to improve the quality.