Even if the solution is converged, still we do not know for sure that the solution is correct. Please give your views.
For details please refer: https://www.quora.com/How-do-I-validate-CFD-results-in-case-of-no-experimental-results
Every analytical solution is geared towards solving some physical problems. If a solution converges but you do not have a experimental proof, then numerical proof of the analytical solutions can always suffice
It would take guts, a sense of adventure, and maybe a reason to run away, all great to explore in conversation.
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