Air cells for sound simulation must be far smaller than the shortest wavelength
Evidence
How big do the cells need to be? There is no single answer to this question, because a few smaller cells can often be replaced by one bigger cell, but there is a limit: the cells need to be much smaller than the shortest important sound wavelength, so that the information that they are being pushed on one side travels to the other sides in a time much shorter than a period of the sound. Usually a few centimeters or, at worst, a few millimeters on a side (giant on the scale of the distance between atoms and molecules in air) will suffice. — Eric J. Heller, Why You Hear What You Hear- An…, 96
Categorization
- DEFINE: Establishes the discretization constraint underpinning how sound propagation is modeled as neighboring cells.
- corroborated: 2 independent passages support this claim — Eric J. Heller, Why You Hear What You Hear- An…, 96
- XREF: connects to: Small vibrating objects radiate weak sound because source size is far under one wavelength; Element-based acoustic models scale poorly as wavelength shortens; Effective sound diffusion demands surface depths proportional to the target wavelength (+1 more)