v4.22.101 TTNL101 - Non-linear heat source in a bar

Summary:

This test verifies the thermal calculation in the presence of a non-linear source load, depending on the temperature.

The reference solution is analytical and variable in time and space. The part considered in the three models is a symmetric bar composed of lumped elements.

The following meshes are checked:

• Modeling A:

  • quadrangles QUAD4, QUAD8, QUAD9 for a model AXIS

  • QUAD4 quadrangles for AXIS_DIAG modeling

• B modeling:

  • HEXA8 hexahedra for 3D modeling_ DIAG

• C modeling:

  • TRIA3 triangles for AXIS modeling

  • TRIA3 triangles for AXIS_DIAG modeling

• D modeling:

  • TRIA3 triangles for AXIS_HHO linear modeling

• E modeling:

  • HEXA8 hexahedra for 3D modeling_ HHO quadratic

The two ends of the bar are subject to adiabadicity conditions by default. The volume source of heat is a linear function of temperature.

• 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
• 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. Tested sizes and results
• 5. C modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Tested sizes and results
• 6. D modeling
  • 6.1. Characteristics of modeling
  • 6.2. Characteristics of the mesh
  • 6.3. Tested sizes and results
• 7. E modeling
  • 7.1. Characteristics of modeling
  • 7.2. Characteristics of the mesh
  • 7.3. Tested sizes and results
• 8. Summary of results