Abstract: A non-transitory computer-readable medium encoded with a computer-readable program which, when executed by a processor, will cause a computer to execute a computational method, the computational method includes modeling acoustic properties at an orifice of a cavity using inverse integration, wherein the modeling includes transforming each linearized navier-stokes wave equation into a frequency domain by taking a Fourier transform. The modeling method additionally includes discretizing volume of the cavity. The modeling method further includes discretizing a set of linearized navier-stokes wave equations based on the volume of the cavity. Moreover, the modeling method includes collecting the each linearized navier-stokes wave equation into a matrix form, wherein the matrix form comprises a boundary value problem.