4. Results#
In the 2 tables below, the maximum relative error associated with the double projection was noted for the various scenarios: straight or curved edges, types of cells, linear or quadratic field,…
When the projection error is less than 1.e-9, the box is colored yellow. The projection is then considered to be « perfect ».
Notes:
The combination « curved edges + mesh size LIN » doesn’t exist!
Degree QUAD + doesn’t exist for TETRA/PYRAM
4.1. Projecting a mesh onto another (different) mesh#
flanks |
Degree of mesh |
Field degree |
TRIA/QUAD |
HEXA/PENTA |
TETRA/PYRAM |
rights |
lin |
1 |
6.6E-12 |
4.9E-12 |
2.2E-16 |
2 |
6.3E-03 |
4.2E-03 |
0.046 |
||
2+ |
2.0E-03 |
1.3E-03 |
0.012 |
||
quad |
1 |
2.6E-11 |
2.0E-11 |
5.2E-16 |
|
2 |
4.3E-04 |
2.8E-04 |
5.5E-16 |
||
2+ |
1.1E-04 |
7.7E-05 |
1.5E-04 |
||
Quad + |
1 |
3.0E-11 |
2.2E-11 |
||
2 |
1.1E-10 |
6.5E-11 |
|||
2+ |
2.5E-06 |
4.9E-06 |
|||
curves |
quad |
1 |
2.3E-03 |
1.7E-03 |
0.023 |
2 |
0.012 |
6.5E-03 |
0.048 |
||
2+ |
2.9E-03 |
1.9E-03 |
0.033 |
||
Quad + |
1 |
2.3E-03 |
1.7E-03 |
||
2 |
0.012 |
6.5E-03 |
|||
2+ |
2.9E-03 |
1.9E-03 |
4.2. Projection of a mesh onto itself#
flanks |
Degree of mesh |
Field degree |
TRIA/QUAD |
HEXA/PENTA |
TETRA/PYRAM |
rights |
lin |
1 |
0.0E+00 |
4.6E-16 |
0.0E+00 |
2 |
0.0E+00 |
3.3E-16 |
0.0E+00 |
||
2+ |
0.0E+00 |
3.9E-16 |
0.0E+00 |
||
quad |
1 |
3.4E-16 |
9.2E-16 |
7.8E-16 |
|
2 |
4.0E-16 |
1.0E-15 |
1.1E-15 |
||
2+ |
3.8E-16 |
8.0E-16 |
7.8E-16 |
||
Quad + |
1 |
8.1E-16 |
8.8E-16 |
||
2 |
8.8E-16 |
1.2E-15 |
|||
2+ |
8.4E-16 |
8.9E-16 |
|||
curves |
quad |
1 |
1.2E-10 |
9.6E-11 |
1.1E-10 |
2 |
7.1E-10 |
3.0E-10 |
2.7E-10 |
||
2+ |
2.5E-10 |
1.8E-10 |
2.6E-10 |
||
Quad + |
1 |
1.3E-10 |
9.6E-11 |
||
2 |
5.2E-10 |
3.0E-10 |
|||
2+ |
2.5E-10 |
1.8E-10 |