SPH Simulation of Acoustic Waves: Effects of Frequency, Sound Pressure, and Particle Spacing

Zhang, Y. O.; Zhang, T.; Ouyang, Huajiang; Li, T. Y.

doi:10.1155/2015/348314

Cited by 11 publications

(8 citation statements)

References 21 publications

(21 reference statements)

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“…However, there are very few Lagrangian numerical methods to solve Computational Aeroacoustics problems in the literature. In particular, related to SPH methods the authors are only aware of the work of [12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

A very accurate Arbitrary Lagrangian–Eulerian meshless method for Computational Aeroacoustics

Ramírez

Nogueira

Khelladi

et al. 2018

Computer Methods in Applied Mechanics and Engineering

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Section: Introductionmentioning

confidence: 99%

A very accurate Arbitrary Lagrangian–Eulerian meshless method for Computational Aeroacoustics

Ramírez

Nogueira

Khelladi

et al. 2018

Computer Methods in Applied Mechanics and Engineering

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“…To date, this Lagrangian method has shown its advantages in fluid dynamics simulations, and the Lagrangian particle tracking method has been widely used in modelling bubble motions [40], free surface [41], dust [42], and other problems. In the preliminary work, we have given a compact discussion concerns the numerical performance of the SPH method in solving acoustic wave equations in quiescent media [43][44][45].…”

Section: Introductionmentioning

confidence: 99%

A Lagrangian Approach for Computational Acoustics with Meshfree Method

Zhang

Smith

Zhang

et al. 2017

Preprint

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Abstract:Although Eulerian approaches are standard in computational acoustics, they are less effective for certain classes of problems like bubble acoustics and combustion noise. A different approach for solving acoustic problems is to compute with individual particles following particle motion. In this paper, a Lagrangian approach to model sound propagation in moving fluid is presented and implemented numerically, using three meshfree methods to solve the Lagrangian acoustic perturbation equations (LAPE) in the time domain. The LAPE split the fluid dynamic equations into a set of hydrodynamic equations for the motion of fluid particles and perturbation equations for the acoustic quantities corresponding to each fluid particle. Then, three meshfree methods, the smoothed particle hydrodynamics (SPH) method, the corrective smoothed particle (CSP) method, and the generalized finite difference (GFD) method, are introduced to solve the LAPE and the linearized LAPE (LLAPE). The SPH and CSP methods are widely used meshfree methods, while the GFD method based on the Taylor series expansion can be easily extended to higher orders. Applications to modeling sound propagation in steady or unsteady fluids in motion are outlined, treating a number of different cases in one and two space dimensions. A comparison of the LAPE and the LLAPE using the three meshfree methods is also presented. The Lagrangian approach shows good agreement with exact solutions. The comparison indicates that the CSP and GFD method exhibit convergence in cases with different background flow. The GFD method is more accurate, while the CSP method can handle higher Courant numbers.

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“…As a Lagrangian, meshfree method, the SPH method can handle fluid dynamic problems with complicated and time-variant domain topologies, large density ranges and object separation, as shown in recent reviews by Springel [3], Liu and Liu [4] and Monaghan [5]. Like other meshless methods being used in computational acoustics [6,7], the SPH method has the potential to be used to solve complicated acoustic problems, such as combustion noise, bubble acoustics, sound propagation in multiphase flows, and so on [8].…”

Section: Introductionmentioning

confidence: 99%

“…Subsequently, Zhang et al [8,11] proposed using the SPH method to solve linearized acoustic wave equations in the quiescent fluid. However, the appearance of unphysical oscillations leads to the instability of SPH simulation results.…”

Section: Introductionmentioning

confidence: 99%

Time Domain Simulation of Sound Waves Using Smoothed Particle Hydrodynamics Algorithm with Artificial Viscosity

Zhang

2015

Algorithms

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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.

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SPH Simulation of Acoustic Waves: Effects of Frequency, Sound Pressure, and Particle Spacing

Cited by 11 publications

References 21 publications

A very accurate Arbitrary Lagrangian–Eulerian meshless method for Computational Aeroacoustics

A very accurate Arbitrary Lagrangian–Eulerian meshless method for Computational Aeroacoustics

A Lagrangian Approach for Computational Acoustics with Meshfree Method

Time Domain Simulation of Sound Waves Using Smoothed Particle Hydrodynamics Algorithm with Artificial Viscosity

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