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.