Computation design of acoustic resonators

One or more non-transitory computer-readable media including instructions that, when executed by one or more processors, cause the one or more processors to perform the steps of:

• receiving an input mesh of a three-dimensional shape and a hole configuration specifying one or more holes, wherein the input mesh has an outer surface and an internal cavity;
• generating a modified mesh based on the hole configuration, wherein generating the modified mesh includes adding the one or more holes to the input mesh to form a resonant cavity, wherein the resonant cavity includes the one or more holes and the internal cavity;
• determining an air pressure coefficient matrix for the resonant cavity;
• computing a minimum non-zero eigenvalue for the air pressure coefficient matrix for the resonant cavity;
• determining an output resonant frequency for the resonant cavity based on the minimum non-zero eigenvalue;
• receiving an updated hole configuration;
• generating an updated mesh based on the updated hole configuration that represents an updated resonant cavity;
• identifying a set of vertices of the updated mesh that are changed from the modified mesh due to the updated hole configuration;
• generating an updated air pressure coefficient matrix for the updated resonant cavity based on the set of vertices;
• and
• determining an updated output resonant frequency for the updated resonant cavity based on the updated air pressure coefficient matrix.

A system, comprising:

• a memory storing instructions;
• and
• a processor coupled to the memory that executes the instructions to perform the steps of:
• receive an input mesh of a three-dimensional shape and a hole configuration specifying one or more holes, wherein the input mesh has an outer surface and an internal cavity;
• generate a modified mesh based on the hole configuration, wherein generating the modified mesh includes adding the one or more holes to the input mesh to form a resonant cavity, wherein the resonant cavity includes the one or more holes and the internal cavity;
• determine an air pressure coefficient matrix for the resonant cavity;
• compute a minimum non-zero eigenvalue for the air pressure coefficient matrix for the resonant cavity;
• determine an output resonant frequency for the resonant cavity based on the minimum non-zero eigenvalue:
• receive an updated hole configuration;
• generate an updated mesh based on the updated hole configuration that represents an updated resonant cavity;
• identify a set of vertices of the updated mesh that are changed from the modified mesh due to the updated hole configuration;
• generate an updated air pressure coefficient matrix for the updated resonant cavity based on the set of vertices;
• and
• determine an updated output resonant frequency for the updated resonant cavity based on the updated air pressure coefficient matrix.