Finite-difference time-domain approach to underwater acoustic scattering problems

Wang, Shuozhong

doi:10.1121/1.415375

Cited by 77 publications

(46 citation statements)

References 15 publications

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“…Numerical results using LFM wide-band signal pulse as the incidence wave are presented for scattering from simple circle in 2D to complex object in 3D. Compared with other FDTD articles [6], the proposed method is correct and effective when a single-frequency signal is used as incident wave. On this basis, after considering frequency-dependent absorption attenuation, simulation results for broadband transient problems are made closer to the actual.…”

Section: Discussionmentioning

confidence: 99%

“…Figure 5(a) is the simulation result using FDTD algorithm in this paper. Figure 5(b) is the result using Wang's method with the first-order Mur's ABC in paper [6]. From Fig.…”

Section: A Simulation Using Single Frequency Signalmentioning

confidence: 99%

“…After that, the application of FDTD in room acoustics had great progress in the boundary condition [3], near-to-far-field transformation method [4], and computational speed [5]. In 1996, Wang S. demonstrates the usefulness of the FDTD method in solving underwater acoustic problems [6]. Then, the FDTD method was used to analyse the reflected pulse wave in time domain in shallow water [7].…”

Section: Introductionmentioning

confidence: 99%

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Underwater Broadband Acoustic Scattering Modelling Based on FDTD

Shao

Zhao

Xiangjun

et al. 2015

ElAEE

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Abstract-A modified finite-difference time-domain (FDTD) method is described in this paper. The absorption coefficient which is frequency-dependent is considered, and it is used to compute broadband acoustic scattering model of underwater complex object. The perfectly matched layer (PML) absorbing boundary condition (ABC) is applied to this work. Considering computation and accuracy comprehensively, PML boundary layer number and the attenuation coefficient is set at proper values. Computer Graphics are applied to mesh-generating of the irregular object. A pulse of LFM signal is used to simulate wide-band acoustic scattering field of a circle in 2D and a complex object in 3D. And the scattered acoustic pressure waveforms of some certain points are computed in the calculation field. Results obtained from simulation confirm the high accuracy of the proposed method.

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Section: Discussionmentioning

confidence: 99%

“…Figure 5(a) is the simulation result using FDTD algorithm in this paper. Figure 5(b) is the result using Wang's method with the first-order Mur's ABC in paper [6]. From Fig.…”

Section: A Simulation Using Single Frequency Signalmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Underwater Broadband Acoustic Scattering Modelling Based on FDTD

Shao

Zhao

Xiangjun

et al. 2015

ElAEE

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“…The FDTD method can solve fundamental equations in the time domain. In this paper, for building the hybrid method, the FDTD method proposed by Wang [53], which was used to simulate an underwater acoustic boundary and the virtual particle technique, are combined.…”

Section: Hybrid Meshfree-fdtd Methods For Boundary Treatmentmentioning

confidence: 99%

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

Zhang

2017

MCA

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Abstract:The development of computational acoustics allows the simulation of sound generation and propagation in a complex environment. In particular, meshfree methods are widely used to solve acoustics problems through arbitrarily distributed field points and approximation smoothness flexibility. As a Lagrangian meshfree method, the smoothed particle hydrodynamics (SPH) method reduces the difficulty in solving problems with deformable boundaries, complex topologies, or multiphase medium. The traditional SPH method has been applied in acoustic simulation. This study presents the corrective smoothed particle method (CSPM), which is a combination of the SPH kernel estimate and Taylor series expansion. The CSPM is introduced as a Lagrangian approach to improve the accuracy when solving acoustic wave equations in the time domain. Moreover, a boundary treatment technique based on the hybrid meshfree and finite difference time domain (FDTD) method is proposed, to represent different acoustic boundaries with particles. To model sound propagation in pipes with different boundaries, soft, rigid, and absorbing boundary conditions are built with this technique. Numerical results show that the CSPM algorithm is consistent and demonstrates convergence with exact solutions. The main computational parameters are discussed, and different boundary conditions are validated as being effective for benchmark problems in computational acoustics.

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“…Eulerian approaches have mainly been used to implement numerical approximations to these models, and different numerical methods include the finite difference method (FDM) [11], the finite element method (FEM) [12], the boundary element method (BEM) [13], and other modified or coupled methods [14][15][16]. These methods have shown their power in solving various acoustic problems so far.…”

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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Finite-difference time-domain approach to underwater acoustic scattering problems

Cited by 77 publications

References 15 publications

Underwater Broadband Acoustic Scattering Modelling Based on FDTD

Underwater Broadband Acoustic Scattering Modelling Based on FDTD

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

A Lagrangian Approach for Computational Acoustics with Meshfree Method

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