v4.43.001 TPNV01 - Hollow sphere: convection, radiation

Summary:

This test is the result of the independent validation of version 3 in non-linear stationary heat.

This is a volume problem represented by two models, one 3D, the other axisymmetric.

The features tested are as follows:

• 3D thermal element,

• axisymmetric thermal element,

• convection and radiation limit conditions.

The advantage of the test lies in taking radiation into account.

The results are compared to an analytical solution on a test VPCS.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
  • 1.4. Initial conditions
• 2. Benchmark solution
  • 2.1. Calculation method used for the reference solution
  • 2.2. Benchmark results
  • 2.3. Uncertainty about the solution
  • 2.4. Bibliographical references
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
• 4. Results of modeling A
  • 4.1. Tested values
  • 4.2. notes
• 5. B modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
• 6. B modeling results
  • 6.1. Tested values
  • 6.2. notes
• 7. C modeling
  • 7.1. Characteristics of modeling
  • 7.2. Tested values
• 8. Summary of results