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Zero external Pressure

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Hi all,
I have a FSI project in which I simulate a fluid flow in a pipe and i want 0 external pressure. I used fixed constrained for the outside boundaries of the cylinder and the results differ significantly from the expected-article ones ONLY at mechanics such as displacements,stresses whereas flow results are correct. So i suspect fixed constrained causes the differences and its not appropriate for zero external pressure.

How can i achieve zero external pressure condition at the pipe?

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