2. Benchmark solution#
2.1. Calculation method used for the reference solution#
Let’s say a quantity \(G\) with 3 components \(X,Y,Z\)
The mesh has 3 geometric entities (meshes or nodes): \(\mathit{X1},\mathit{X2},\mathit{X3}\)
First of all, 2 fields \(\mathit{ch1}\) and \(\mathit{ch2}\) are made by assigning the quantity \(G\) to the geometric entities \(\mathit{X1}\), \(\mathit{X2}\) and \(\mathit{X3}\).
Entity |
\(\mathit{X1}\) |
\(\mathit{X2}\) |
\(\mathit{X3}\) |
||||||
Component |
\(X\) |
\(Y\) |
\(Z\) |
\(X\) |
\(Y\) |
\(Z\) |
\(X\) |
\(Y\) |
\(Z\) |
\(\mathit{ch1}\) |
|||||||||
\(\mathit{ch2}\) |
Fields \(\mathit{ch3}\) and \(\mathit{ch4}\) are then defined by CREA_CHAMP operation ASSE.
We must then obtain:
Entity |
\(\mathit{X1}\) |
\(\mathit{X2}\) |
\(\mathit{X3}\) |
||||||
Component |
\(X\) |
\(Y\) |
\(Z\) |
\(X\) |
\(Y\) |
\(Z\) |
\(X\) |
\(Y\) |
\(Z\) |
\(\mathit{ch1}\) |
|||||||||
\(\mathit{ch2}\) |
|||||||||
\(\mathit{ch3}\) |
|||||||||
\(\mathit{ch4}\) |
To test the different scenarios of the operation “ASSE” of the CREA_CHAMP command, this calculation is done for 5 types of fields:
A |
cham_no |
trips |
B |
cham_elem/ELNO |
constraints |
C |
cham_elem/ELGA |
constraints |
D |
cham_elem/ELNO |
internal variables |
E |
cham_elem/ELGA |
internal variables |
2.2. Benchmark results#
For the 5 previous scenarios, we test the values greased and underlined in the table below:
Entity |
\(\mathit{X1}\) |
\(\mathit{X2}\) |
\(\mathit{X3}\) |
||||||
Component |
\(X\) |
\(Y\) |
\(Z\) |
\(X\) |
\(Y\) |
\(Z\) |
\(X\) |
\(Y\) |
\(Z\) |
\(\mathit{ch3}\) |
1. |
1. |
12. |
9. |
|||||
\(\mathit{ch4}\) |
18. |
2.3. Uncertainties about the solution#
No uncertainty.