Trelis 16.3 User Documentation

The **Linear** class of sizing functions determines element
size based on a weighted average of edge lengths for mesh edges bounding
the surface being meshed. There are several variants of this class of
sizing function. The Linear function bases edge length at a location on
the lengths of edges bounding the surface weighted by their inverse distance
from the current location. The result of this weighting is a more gradual
change in mesh density during a transition between dense and coarse mesh.
Figure 1 shows the same NURB surface mesh but with intervals of 34 on
two curves and intervals of 16 on the remaining two bounding curves and
no sizing function. It can be observed that the mesh progresses more rapidly
inward from the coarser meshed curves, which locates the transition region
much closer to the finer meshed curves. To combat this, the Linear function
weights the sizing of new elements such that these transitions occur slower.
Figure 2 displays two views of the same NURB geometry with the same bounding
curve mesh density using the linear sizing function.