v4.01.001 TPLA01 - Infinite hollow cylinder in thermal equilibrium

Summary:

Linear stationary thermal.

Axisymmetric model; 4 models.

Analytical solution.

Interest of the test:

• all axisymmetric elements: triangles and quadrangles, linear and quadratic,

• axisymmetric shell element: quadratic segments

• conditions with various limits: exchange, imposed temperature, imposed flow,

• partial validation of the thermal « mass » matrix because we are making a transient « false ».

• CALC_MATR_ELEM “MASS_THER” option for modeling A

The results are not affected by the distortion of the \(h/l=40\) mesh.

• 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
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Tested values
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested values
• 5. C modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Tested values
• 6. D modeling
  • 6.1. Characteristics of modeling
  • 6.2. Characteristics of the mesh
  • 6.3. Tested values
• 7. Summary of results