Documentation
This validation case belongs to heat transfer, with the case of a hollow sphere under convection and radiation. The aim of this test case is to validate the following parameters:
The simulation results of SimScale were compared to the numerical results presented in [TPNV01]
The geometry used for the case is as follows:
It represents a section of a hollow sphere with an internal radius of 0.3
Tool Type: Code_Aster
Analysis Type: Nonlinear heat transfer, steady state.
Mesh and Element Types:
Case | Mesh Type | Number of Nodes | Element Type |
---|---|---|---|
A | Standard | 1372 | 1st order tetrahedral |
B | Standard | 9608 | 2nd order tetrahedral |
The tetrahedral meshes were computed using SimScale’s standard mesh algorithm and automatic sizing:
Material:
Boundary Conditions:
Note
Equation 1 was used to compute a table for a temperature range of 0 to 100
The reference solution comes from analytical expressions solved numerically, as presented in [TPNV01]
Comparison of average temperatures at internal (EFGH) and external (ABCD) faces with the reference solution, for each case, is presented:
Case | Face | Compute Average | Compute Average | Reference | Error |
---|---|---|---|---|---|
A | INTERNAL | 364.893 | 91.743 | 91.77 | -0.03 % |
EXTERNAL | 344.359 | 71.209 | 71.22 | -0.16 % | |
B | INTERNAL | 364.921 | 91.771 | 91.77 | 0.00 % |
EXTERNAL | 344.37 | 71.22 | 71.22 | 0.00 % |
Illustration of the temperature distribution from the sphere with convection and radiation simulation, case B:
Note
If you still encounter problems validating you simulation, then please post the issue on our forum or contact us.
Last updated: July 21st, 2021
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