The accuracy of numerical simulation of the acoustic wave propagations in a liquid medium based on Navier-Stokes equations

The space and time resolution needed to simulate the propagation of acoustic perturbations in a liquid medium is estimated. The dependence of the solution accuracy on the parameters of an iterative procedure and a numerical discretization of the equations is analyzed. As a numerical method, a widely used method called SIMPLE is used together with a finite-volume discretization of the equations. A problem of propagation of perturbations in a liquid medium from a harmonic source of oscillations is considered for the estimation. Estimates of the required space and time resolution are obtained to provide an acceptable accuracy of the solution. The estimates are tested using the problem of propagation of harmonic waves from a point source in a liquid medium.