Abstract
A method for computing how each vibration mode of an object radiates sound (its acoustic transfer), solving every mode on its own at its own frequency, on a discretization sized for that frequency rather than for the highest one. Modes below roughly ka = 0.5 are solved together on the CPU as a short series in frequency from one factored Laplace operator per shape. Higher modes are solved either by a GPU time-domain wave simulation on a grid of 6-8 points per wavelength in a compact absorbing domain, with the steady state read by lock-in and the far field taken by an exact surface integral, or by a frequency-domain boundary solve on the outer surface only, using an OSRC-preconditioned Burton-Miller formulation with FFT-accelerated products. Each mode yields complex multipole coefficients, its radiated power and hence its radiation damping, its air loading, its coupling to near-equal modes, and a certificate estimating its error. Solves run in the background, loudest modes first, and each mode switches once from an interim estimate to its exact result at an audio block boundary.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Recommended Citation
Kimberlin, Kyle, "Matched Solvers Per-Mode Sound Radiation of Vibrating Objects", Technical Disclosure Commons, ()
https://www.tdcommons.org/dpubs_series/12437