Dear Researchers,
I am looking into deriving the particle displacement for pressure acoustics in the frequency domain or transient domain. If I solve a acoustics problem in comsol I get the pressurefield and derived variables like acoustics velocity and acoustic acceleration. How could I derive acoustic displacment from these variables. Displacement is the Timeintegral of velocity and in simple cases It is easy to derive the displacement, but in more complex cases I am lost onto how to solve for particle displacement.
Can anyone pont me in the right direction?
Particle valocity and pressure is related through the characteristic impedance Z = p/v. If you include phase the pressure and the particle velocity are out of phase in air. I do not know how to express that, but know that the påarticle velocity max for a wave being reflected from a hard wall is 1/4 of the wavelelnth out from the wall, while the pressure max is at the wall.
That is right, there are as well analytical equations like u = a/omega^2 or u = v/omega. Unfortuntely this only holds true for a plane wave, as i assume your is with you reflection theorie.
I would like to find a way, to derive particle displacement in every FE solution, which does seem to be alot more difficult.
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