Verification and validation can be thought of as a formal process for checking results. Each of these terms has a specific meaning which we won't get into here. The only verification check discussed below is investigation of the effect of mesh size on the results.
Let's check what happens to the heat flux variation along the bottom surface when we refine the mesh i.e. use more elements in the mesh.
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Summary of the above video:
To resolve the steep temperature gradient at right, lower corner, we bias the edge sizings using the following process:
<iframe width="600" height="338" src="//www.youtube.com/embed/WGeYMRORW4A" frameborder="0" allowfullscreen></iframe> |
Summary of the above video:
To update prior results on the new mesh, click Solve. Highlight the column in the tabular data containing the updated heat flux values along the bottom surface and copy into the Excel file in a new column.
We repeated the above process for a third mesh obtained by doubling the edge sizings on the second mesh while keeping the bias factors the same. The following figure shows that the heat flux variation along the bottom surface is almost the same on the two finer meshes (20x40 and 40x80). This demonstrates that the results on the two finest meshes are almost mesh independent and so are likely to be very close to the true solution.
The above figure was generated in MATLAB from the Excel file using this MATLAB script. The Excel file called boundary_flux_tutorial.xlsx had four columns as shown below.
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