Time domain simulation of sound waves using smoothed particle hydrodynamics algorithm with artificial viscosity
type: Item
instance of: scholarly article
title: Time domain simulation of sound waves using smoothed particle hydrodynamics algorithm with artificial viscosity
zbMATH Open document ID: 1461.76404
author: Xu Li
author: Tao Zhang
author: Yong Ou Zhang
published in: Algorithms
publication date: 2019-03-26T00:00:00Z
review text: Summary: Smoothed particle hydrodynamics (SPH), as a Lagrangian, meshfree method, is supposed to be useful in solving acoustic problems, such as combustion noise, bubble acoustics, \textit{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.
Mathematics Subject Classification ID: 76Q05
Mathematics Subject Classification ID: 76M28
zbMATH DE Number: 7042254
zbMATH Keywords: SPH
zbMATH Keywords: sound waves
zbMATH Keywords: unphysical oscillations
zbMATH Keywords: artificial viscosity
zbMATH Keywords: linearized acoustic wave equations
describes a project that uses: SPHysics
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/a8020321
OpenAlex ID: W1594062268
cites work: Smoothed particle hydrodynamics: theory and application to non-spherical stars
cites work: Smoothed particle hydrodynamics (SPH): an overview and recent developments
cites work: Smoothed particle hydrodynamics and its diverse applications
cites work: SPH simulation of acoustic waves: effects of frequency, sound pressure, and particle spacing
cites work: A Method for the Numerical Calculation of Hydrodynamic Shocks
cites work: Shock simulation by the particle method SPH
cites work: Artificial viscosity for particle methods
cites work: A switch to reduce SPH viscosity
cites work: Artificial viscosity in simulation of shock waves by smoothed particle hydrodynamics
cites work: Permeable and non-reflecting boundary conditions in SPH
cites work: An adaptive SPH method for strong shocks
cites work: Q3760172
cites work: Smoothed Particle Hydrodynamics
cites work: The accuracy of symplectic integrators
DOI: 10.3390/A8020321
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description: scientific article; zbMATH DE number 7042254