Efficient SPH simulation of time-domain acoustic wave propagation

Zhang, YO, Zhang, T, Ouyang, H ORCID: 0000-0003-0312-0326 and Li, TY
(2016) Efficient SPH simulation of time-domain acoustic wave propagation. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 62. pp. 112-122.

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As a Lagrangian meshfree method, smoothed particle hydrodynamics (SPH) can eliminate much of the difficulty in solving acoustic problems in the time domain with deformable boundaries, complex topologies, or those that consist of multiphase systems. However, the optimal value of the computational parameters used in the SPH simulation of acoustics remains unknown. In this paper, acoustic wave equations in Lagrangian form are proposed and solved with the SPH method to compute the two-dimensional sound propagation model of an ideal gas in the time domain. We then assess how the numerical error is influenced by the time step, the smoothing length, and the particle spacing by investigating the interaction effects among the three parameters using Taguchi method with orthogonal array design (OAD) and analysis of variance (ANOVA). On the basis of this assessment, appropriate values for these computational parameters are discussed separately and validated with a two-dimensional computational aeroacoustic (CAA) model. The results demonstrate that the Courant number for the meshless SPH simulation of two-dimensional acoustic waves is proposed to be under 0.4, whereas the ratio of the smoothing length to the particle spacing is between 1.0 and 2.5.

Item Type: Article
Uncontrolled Keywords: Acoustic wave equations, SPH, Taguchi method, ANOVA, Time domain, Meshfree method
Depositing User: Symplectic Admin
Date Deposited: 15 Nov 2017 08:56
Last Modified: 19 Jan 2023 06:50
DOI: 10.1016/j.enganabound.2015.09.007
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3012204