v4.22.002 TTNL02 - Thermal transient with phase change

Summary:

This elementary test makes it possible to deal with a unidirectional problem in non-linear transient thermics and to verify that a change in liquid/solid phase is taken into account by Code_Aster by introducing the latent heat of fusion via the volume enthalpy. The solution is analytical and involves error functions \(\mathrm{erf}\) and \(\mathrm{erfc}\). The problem is treated in plane and volume cases.

For the models presented here, the differences in the results obtained by*Code_Aster* are between 1 and 4% of the analytically calculated reference.

• 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
  • 3.3. note
  • 3.4. 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. note
  • 5.4. Tested values
• 6. D modeling
  • 6.1. Characteristics of modeling
  • 6.2. Characteristics of the mesh
  • 6.3. Tested values
• 7. E modeling
  • 7.1. Characteristics of modeling
  • 7.2. Characteristics of the mesh
  • 7.3. Tested values
• 8. Summaries of results