Low-Frequency Acoustic-Structure Analysis Using Coupled FEM-BEM Method

Feng, Jinlong; Zheng, Xiaoping; Wang, Haitao; Wang, Hong-Tao; Zou, Yuanjie; Liu, Yinghua; Yao, Zhenhan

doi:10.1155/2013/583079

Cited by 10 publications

(5 citation statements)

References 22 publications

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“…Moving away from diagnostic ultrasound simulations, sound waves are simulated using classical mesh-based numerical methods, for example, the boundary element method (BEM), the finite element method (FEM), , and their modifications. , On the other hand, also meshless methods are used, for example, the method of fundamental solutions (MFS), the multiple-scale reproducing kernel particle method (RKPM), and the element free Galerkin method (EFG) . In addition, the smoothed particle hydrodynamics method (SPH) has proven to be a promising particle-based method for sound simulations.…”

Section: Introductionmentioning

confidence: 99%

Dissipative Particle Dynamics Simulation of Ultrasound Propagation through Liquid Water

Papež

Praprotnik

2022

J. Chem. Theory Comput.

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Ultrasound is widely used as a noninvasive method in therapeutic and diagnostic applications. These can be further optimized by computational approaches, as they allow for controlled testing and rational optimization of the ultrasound parameters, such as frequency and amplitude. Usually, continuum numerical methods are used to simulate ultrasound propagating through different tissue types. In contrast, ultrasound simulations using particle description are less common, as the implementation is challenging. In this work, a dissipative particle dynamics model is used to perform ultrasound simulations in liquid water. The effects of frequency and thermostat parameters are studied and discussed. We show that frequency and thermostat parameters affect not only the attenuation but also the computed speed of sound. The present study paves the way for development and optimization of a virtual ultrasound machine for large-scale biomolecular simulations.

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Section: Introductionmentioning

confidence: 99%

Dissipative Particle Dynamics Simulation of Ultrasound Propagation through Liquid Water

Papež

Praprotnik

2022

J. Chem. Theory Comput.

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“…However, the coupled FEM/BEM model also suffers from the fully populated matrices and leads to a heavy burden in both memory consumption and computing time [17]. To solve the problem, the finite element/fast multipole boundary element (FE/FMBE) [18] coupling formulation and other improved methods [19][20][21][22] have been employed to analyze acoustic-structure coupled problems. Though such inherent drawbacks are got settlement to some extent, there are still some imperfections that need to be improved when extending these methods to practical engineering applications.…”

Section: Introductionmentioning

confidence: 99%

An accurate and efficient scheme for acoustic-structure interaction problems based on unstructured mesh

Cui

Wang

et al. 2017

Computer Methods in Applied Mechanics and Engineering

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This paper focuses on the accurate and efficient numerical implementation of acoustic-structure coupling formulations using the edge-based smoothed finite element method for the flexible shell and the gradient-weighted finite element method for the acoustic fluid field, namely, the ES/GW-FEM. The shell is discretized using the simplest linear triangular elements and the edge-based smoothing domain is then constructed. By introducing an edge local coordinate system, the edge-based smoothing operation is performed on the smoothing domain. As for the acoustic fluid domain, the tetrahedron elements are adopted. A compacted support domain is then constructed and the gradient weighted operation is performed on the support domain. To model the exterior acoustic domain, an artificial boundary is introduced and the Dirichlet-to-Neumann (DtN) boundary condition is imposed. Based on the appropriate compatibility and equilibrium conditions on the interface boundaries, the coupled ES/GW-FEM formulation is finally obtained. Both the interior acoustic-structure coupled problems and exterior acoustic-structure coupled problems are available as the DtN boundary is considered. Numerical examples demonstrate that the coupled ES/GW-FEM achieves much higher accuracy and works more reliable compared with the coupled FEM/FEM in solving practical engineering problems.

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“…Some classic numerical methods such as the finite element method (FEM) [1,2], the boundary element method (BEM) [3], and other modified or coupled methods [4][5][6] are widely used for acoustic simulations. However, these mesh-based methods are not ideal for solving acoustic problems consisting of a variety of media or with deformable boundaries.…”

Section: Introductionmentioning

confidence: 99%

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

Zhang

Ouyang

et al. 2015

Mathematical Problems in Engineering

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Acoustic problems consisting of multiphase systems or with deformable boundaries are difficult to describe using mesh-based methods, while the meshfree, Lagrangian smoothed particle hydrodynamics (SPH) method can handle such complicated problems. In this paper, after solving linearized acoustic equations with the standard SPH theory, the feasibility of the SPH method in simulating sound propagation in the time domain is validated. The effects of sound frequency, maximum sound pressure amplitude, and particle spacing on numerical error and time cost are then subsequently discussed based on the sound propagation simulation. The discussion based on a limited range of frequency and sound pressure demonstrates that the rising of sound frequency increases simulation error, and the increase is nonlinear, whereas the rising sound pressure has limited effects on the error. In addition, decreasing the particle spacing reduces the numerical error, while simultaneously increasing the CPU time. The trend of both changes is close to linear on a logarithmic scale.

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Low-Frequency Acoustic-Structure Analysis Using Coupled FEM-BEM Method

Cited by 10 publications

References 22 publications

Dissipative Particle Dynamics Simulation of Ultrasound Propagation through Liquid Water

Dissipative Particle Dynamics Simulation of Ultrasound Propagation through Liquid Water

An accurate and efficient scheme for acoustic-structure interaction problems based on unstructured mesh

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

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