3. Modeling A#

3.1. Characteristics of modeling#

3D (PENTA6, HEXA8)

_images/1000000000000230000000E6667ACC18E40B1A7A.png

3.2. Characteristics of the mesh#

Number of knots:

1313

Number of meshes and types:

300 PENTA6, 600 HEXA8 (and 300 QUAD4)

3.3. Tested sizes and results#

Identification

Reference

tolerance

Temperature (\(°C\))

\(z\mathrm{=}0.0\) \(r\mathrm{=}.0\) (\(\mathit{n1}\): \(A\))

0.0000

.00001

\(r\mathrm{=}.01\) (\(\mathit{n13}\): \(D\))

0.0000

.00001

\(z\mathrm{=}0.1\) \(r\mathrm{=}.0\) (\(\mathit{n131}\))

0.3694

1%

\(r\mathrm{=}.01\) (\(\mathit{n143}\))

0.3694

1%

\(z\mathrm{=}0.2\) \(r\mathrm{=}.0\) (\(\mathit{n261}\))

0.9718

1%

\(r\mathrm{=}.01\) (\(\mathit{n273}\))

0.9718

1%

\(z\mathrm{=}0.3\) \(r\mathrm{=}.0\) (\(\mathit{n391}\))

2.1870

1%

\(r\mathrm{=}.01\) (\(\mathit{n403}\))

2.1870

1%

\(z\mathrm{=}0.4\) \(r\mathrm{=}.0\) (\(\mathit{n521}\))

4.7815

1%

\(r\mathrm{=}.01\) (\(\mathit{n533}\))

4.7815

1%

\(z\mathrm{=}0.5\) \(r\mathrm{=}.0\) (\(\mathit{n651}\))

10.392

1%

\(r\mathrm{=}.01\) (\(\mathit{n663}\))

10.392

1%

\(z\mathrm{=}0.6\) \(r\mathrm{=}.0\) (\(\mathit{n781}\))

22.555

1%

\(r\mathrm{=}.01\) (\(\mathit{n793}\))

22.555

1%

\(z\mathrm{=}0.7\) \(r\mathrm{=}.0\) (\(\mathit{n911}\))

48.944

1%

\(r\mathrm{=}.01\) (\(\mathit{n923}\))

48.944

1%

\(z\mathrm{=}0.8\) \(r\mathrm{=}.0\) (\(\mathit{n1041}\))

106.20

1%

\(r\mathrm{=}.01\) (\(\mathit{n1053}\))

106.20

1%

\(z\mathrm{=}0.9\) \(r\mathrm{=}.0\) (\(\mathit{n1171}\))

230.44

1%

\(r\mathrm{=}.01\) (\(\mathit{n1183}\))

230.44

1%

\(z\mathrm{=}1.0\) \(r\mathrm{=}.0\) (\(\mathit{n1301}\) :B)

500.00

.00001

\(r\mathrm{=}.01\) (\(\mathit{n1313}\) :C)

500.00

.00001

(*: Imposed temperature)

3.4. notes#

Volume heat \(\rho {C}_{P}\) is not a step in this test, but must be declared for*Code_Aster*. We take \(\rho {C}_{P}=1.0J/{m}^{\mathrm{3 }}°C\).

Boundary condition \(\varphi =0.\) is implicit on free edges.