I am trying to build several cases for solver and CAA-library code validation. There are breathing, trembling sphere, baffled piston.

In all cases we can see phase difference between pressure signals. I'm explaining it by inertia like in the mass-spring system. Is it correct?

How can i modify wave equation results or my CFD solution to clear it from such kind of discrepancy? I need to clear it because i'm trying to validate very different solvers (for example with mesh motion) and already observe reflections from boundaries (so then i will need to test some types of non-reflecting) and i suppose that this phase difference could make further analysis harder.

Thank you for any help ("to read" recommendations are also appreciated).

Last figure just for reference (baffled piston, 2d-axissymmetric case).

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