Abstract
Smoothed particle hydrodynamics (SPH), as a Lagrangian, meshfree method, is supposed to be useful in solving acoustic problems, such as combustion noise, bubble acoustics, etc., and has been gradually used in sound wave computation. However, unphysical oscillations in the sound wave simulation cannot be ignored. In this paper, an artificial viscosity term is added into the standard SPH algorithm used for solving linearized acoustic wave equations. SPH algorithms with or without artificial viscosity are both built to compute sound propagation and interference in the time domain. Then, the effects of the smoothing kernel function, particle spacing and Courant number on the SPH algorithms of sound waves are discussed. After comparing SPH simulation results with theoretical solutions, it is shown that the result of the SPH algorithm with the artificial viscosity term added attains good agreement with the theoretical solution by effectively reducing unphysical oscillations. In addition, suitable computational parameters of SPH algorithms are proposed through analyzing the sound pressure errors for simulating sound waves.
Highlights
In 1977, Lucy [1] and Gingold and Monaghan [2] independently pioneered the smoothed particle hydrodynamics (SPH) method for modeling astrophysical phenomena in three-dimensional space
P is defined as the amplitude of an acoustic wave in the sound propagation and is defined as the difference of the sound pressure amplitudes of two acoustic waves in the sound interference, that is P = 50 Pa in the sound propagation and P = 20 Pa in the sound interference
An artificial viscosity term is added to the standard SPH algorithm in order to improve its accuracy in modelling sound propagation and interference
Summary
In 1977, Lucy [1] and Gingold and Monaghan [2] independently pioneered the smoothed particle hydrodynamics (SPH) method for modeling astrophysical phenomena in three-dimensional space. Landshoff [13] subsequently added a linear artificial viscosity term to the Von Neumann-Richtmyer artificial viscosity, which could further smooth the oscillations On this basis, Monaghan and Gingold [14], Monaghan and Poinracic [15] and Monaghan [16] developed another type of artificial viscosity (Monaghan-type artificial viscosity) for simulating shocks. On this basis, suitable computational parameters of SPH algorithms for simulating sound waves are recommended.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
