Modeling Sound Propagation Using the Corrective Smoothed Particle Method with an Acoustic Boundary Treatment Technique

Zhang, Yongou; Li, Xu; Zhang, Tao

doi:10.20944/preprints201701.0067.v1

Cited by 3 publications

(3 citation statements)

References 17 publications

(19 reference statements)

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“…By using the displacement equation in both fluid and solid domains, the continuity of particle velocity is enforced throughout. In the interface of the fluid and the solid, the normal component of the particle velocity should be continuous 34 Fig. 2 represents the normal particle velocity in the vicinity of the interface.…”

Section: Continuity At Interface Between Fluid and H-n Mediamentioning

confidence: 99%

Two-dimensional finite-difference time-domain formulation for sound propagation in a temperature-dependent elastomer-fluid medium

Huang

Oterkus

et al. 2020

The Journal of the Acoustical Society of America

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This study focuses on the two dimensional finite-difference time-domain (FDTD) formulations to investigate the acoustic wave propagation in elastomers contained in fluid region under different thermal conditions. The developed FDTD formulation is based on direct solution of the time-domain wave equation and the Havriliak-Negami (H-N) dynamic mechanical response of the elastomers. The H-N representation including double fractional derivative operators can be accurately transferred from the frequency-domain to the timedomain by using Riemann-Liouville theory and the Grunwald-Letnikov operator for fractional derivative approximations. Since the Williams-Landel-Ferry (WLF) shift function is related to the relaxation time for different thermal conditions, the proposed scheme represents a simple and accurate prediction of acoustic wave propagation for varying thermal conditions. The pulse-wave propagation in viscous fluid field is simulated by investigating the Navier-Stokes equations. The acoustic properties of different elastomers in a variety of temperatures are obtained by means of the proposed FDTD formulation and validated by a good agreement with the experimental data over a wide frequency range. Additionally, the 2-D examples relevant to wave propagation in different elastomers contained in a fluid field are implemented. The proposed FDTD formulation can be used to predict 2-D acoustic wave propagation in different thermal conditions accurately.

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Section: Continuity At Interface Between Fluid and H-n Mediamentioning

confidence: 99%

Two-dimensional finite-difference time-domain formulation for sound propagation in a temperature-dependent elastomer-fluid medium

Huang

Oterkus

et al. 2020

The Journal of the Acoustical Society of America

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show abstract

“…Since it is independent with mesh, it is suitable for solving large-enough system for longenough times [13]. In recent years, it has been employed to solve acoustic problems [14][15][16]. In order to obtain a relatively high precision, however, huge amounts of particles have to be adopted.…”

Section: Introductionmentioning

confidence: 99%

GPU Accelerated Particle-based Computational Acoustics Solving Based on SPH

Liu¹,

Zhang²,

C³

et al. 2017

Preprint

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Abstract:Smoothed particle hydrodynamics (SPH) is regarded as a pure Lagrangian approach, which can solve fluid dynamics problems without the creation of mesh. In this paper, a paralleled SPH solver is developed to solve particle-based computational acoustics (PCA). The aim of this paper is to study the feasibility of using SPH to solve acoustic problems and to improve the efficiency of solving processes by paralleling some procedures on GPU during calculating. A stand SPH code running serially in a CPU is proposed to solve wave equation. This is a wave propagating in a two-dimensional domain. After finishing the computation, the results are compared with the theoretical solutions and they agree well. So its feasibility is verified. There are two main methods for searching neighbor particles: all-pair search method and linked-list search method. Both methods are used in different codes to simulate an identical problem and their runtimes are compared to investigate their searching efficiencies. The runtime results show that linked-list search method has a higher efficiency, which can save a lot of searching time when simulating problems with huge amounts of particles. Furthermore, the percentages of different procedures' runtimes in a simulation are also discussed to find the most consuming one. Then, some codes are modified to run in different GPUs and their runtimes are compared with those of serial ones on a CPU. Runtime results show that the paralleled algorithm can be more than 80 times faster than the serial one. The result shows that GPU paralleled SPH computing can achieve desirable accuracy and speed in solving acoustic problems.

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“…Limited implementations include rigid and soft acoustic boundaries for one-dimensional problems [25,26]. In the present paper, the finite-difference time-domain (FDTD) method is combined with virtual particles to realize the twodimensional acoustic boundary condition, which is named as the hybrid meshfree-FDTD method [45].…”

mentioning

confidence: 99%

Lagrangian Meshfree Particle-based Computational Acoustics for Two-dimensional Sound Propagation and Scattering Problems

Zhang¹,

Li²,

Zhang³

2017

Preprint

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Meshfree particle method, which is always regarded as a pure Lagrangian approach, is easily represented complicated domain topologies, moving boundaries, and multiphase media. Solving acoustic problems with the mesfree particle method forms a branch of the acoustic wave modeling field, namely, particle-based computational acoustics (PCA). The aim of this paper is to improve the accuracy of using the PCA method to solve two-dimensional acoustic problems, and realize the particle representation with a hybrid meshfree and finite-difference time-domain (FDTD) method for acoustic boundary conditions at both the plane and curved surface. As a widely used Lagrangian meshfree method, the smoothed particle hydrodynamics (SPH) based on the support domain and the kernel function has developed rapidly in recent years. The traditional SPH method is easily implements parallel processing and has been applied in sound wave simulation. As a corrective method with higher accuracy than SPH, the acoustic propagation and scattering in the time domain is simulated with the corrective smoothed particle method (CSPM). Moreover, a hybrid meshfree-FDTD boundary treatment technique is utilized to represent different acoustic boundaries in the Lagrangian approach.In this boundary treatment technique, the parameter value of virtual particles is obtained with the FDTD method, which concerns truncation errors based on the Tayler series expansion. Soft, rigid, and Mur's absorbing boundary conditions are developed to simulate sound waves in finite and infinite domain. Results of modeling acoustic propagation and scattering show that CSPM is accurate and convergence with exact solutions, and different acoustic boundaries are validated to be effective in the computation.

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Modeling Sound Propagation Using the Corrective Smoothed Particle Method with an Acoustic Boundary Treatment Technique

Cited by 3 publications

References 17 publications

Two-dimensional finite-difference time-domain formulation for sound propagation in a temperature-dependent elastomer-fluid medium

Two-dimensional finite-difference time-domain formulation for sound propagation in a temperature-dependent elastomer-fluid medium

GPU Accelerated Particle-based Computational Acoustics Solving Based on SPH

Lagrangian Meshfree Particle-based Computational Acoustics for Two-dimensional Sound Propagation and Scattering Problems

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