v4.04.305 TPLV305 - Thermal gradient in a cylinder (Fourier)

Summary:

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

It validates axisymmetric thermal elements of harmonic resolution (AXIS_FOURIER) and volume with the limit conditions of the temperatures imposed according to a harmonic function (mode 1) as the limit conditions.

It includes two models, one 3D and the other using « Fourier » axisymmetric thermal elements.

The interest of this test is the validation of thermal elements AXIS_FOURIER and of the field assembly command (CREA_CHAMP, option ASSE).

• 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. References
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Tested sizes and results
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. notes
  • 4.4. Tested sizes and results
• 5. Summary of results