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We will also look at the results for the dimensionless temperature along the line y=1. The plot below contains information from 1x1, 2x2, 3x3, 5x5, and our 10x20 element mesh. Note how as the mesh elements get finer (i.e. more elements,) the analytical solution, and the ANSYS solution for three different meshes.
solution converges onto one line. This is a trivial example, as it converges by 5x5 elements, but consider how mesh refinement can affect results in a complex system.
In other words, Always do mesh refinements until the solution converges. If you don't, it is possible your simulation may be completely off from reality, and will be useless!
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https://confluence.cornell.edu/download/attachments/146918522/FinFinPlot_FullConvergence.png |
As one can see, the ANSYS solution for the first mesh (10x20) is already mesh converged. In other words, refinements of the first mesh do not significantly change the solution. Furthermore, all three ANSYS solutions match the analytical solution quite well. It is very difficult to discern the different plots, letting us know that ANSYS is matching the analytical solution quite well.
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