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# Validation Case: Thermal Bridge Case 1 – Half Square Column

This validation case belongs to heat transfer, with the case of a half square column subjected to the imposed temperature gradient. The aim of this project is to demonstrate the validity of SimScale’s Heat Transfer solver by replicating the standard test case and comparing the following parameters:

• Temperature distribution

The simulation results from SimScale were compared to the reference results presented in the standard EN-ISO 10211, validation case 1 (Annex C)$$^1$$.

## Geometry

The half square column is illustrated in Figure 1:

The column has dimensions of 2 x 1 x 0.1 $$m$$, forming a half-square.

## Analysis Type and Mesh

Tool Type: Code_Aster

Analysis Type: Heat Transfer

Mesh and Element Types:

The mesh was computed using SimScale’s Standard meshing algorithm, with the fineness parameter maxed up to 10. Statistics of the resulting mesh are presented in Table 1, and illustration shown in Figure 2: Figure 2: Finite elements tetrahedral mesh used for the thermal simulation using SimScale’s Standard meshing algorithm.

## Simulation Setup

Material:

• $$(\rho)$$ Density: 1 $$kg/m^3$$
• Conductivity: Isotropic
• $$(\kappa)$$ Thermal conductivity: 1 $$W/(m.K)$$
• Specific Heat: 1 $$J/(kg.K)$$

Boundary Conditions:

• Fixed Temperatures:
• Top wall: 20 $$°C$$
• External wall: 0 $$°C$$
• Bottom wall: 0 $$°C$$
• Front and back walls
• Symmetry face

## Reference Solution

The reference solution for the half square column is of the analytical type. It is presented as the computed temperatures in $$°C$$ at a set of points located in a 7×4 equidistant grid across the column (28 points). The reference values are presented in Table 2: Figure 4: Point locations for temperature values comparison. Rows are numbered top to bottom and columns left to right.

## Results Comparison

The computed temperature values in SimScale are presented in Table 3:

Results show that, up to one decimal place of precision, the values computed by SimScale match the theoretical values presented in the standard. The acceptance criterion states that the difference between the computed temperatures by the method being validated and the listed temperatures shall not exceed 0.1$$°C$$. Thus, it is found that the SimScale solver is accepted under the standard’s validation case 1.