Expression of acoustic fields in solids by scalar and vector velocity potentials

Sato, Masahiro; Takahata, Y.; Tahara, Minoru; Iwata, Shuichi

doi:10.1109/ultsym.2001.991853

Cited by 11 publications

(10 citation statements)

References 1 publication

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“…We reported an interesting feature observed in the transient analysis [7]. There, the scalar and vector velocity potentials had almost the same feature as the normal and the shear stress distributions.…”

Section: Calculation Of Velocity Potentialssupporting

confidence: 55%

Expression of contour vibration modes of a square plate by scalar and vector velocity potentials.

Sato

Takahata

Tahara

et al. 2002

Acoust. Sci. & Tech.

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Section: Calculation Of Velocity Potentialssupporting

confidence: 55%

Expression of contour vibration modes of a square plate by scalar and vector velocity potentials.

Sato

Takahata

Tahara

et al. 2002

Acoust. Sci. & Tech.

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“…Note that the field outside the cylinder is the sum of the incident and scattered fields, whereas the field inside the cylinder is only the transmitted field. Combined with the theory of elastic media, a matrix equation involving the coefficients A n , B n , C n , D n can be obtained [16]:…”

Section: Scattering Theory Of Plane Wave Incidencementioning

confidence: 99%

“…The stress distribution at the interface of the elastic scattering cylinder was calculated in detail based on the theory of solid mechanics [15]. Assuming mode conversion in a solid, both scattered longitudinal waves and scattered shear waves were generated simultaneously [16]. Acoustic wave attenuation in the medium was taken into consideration and applied to the scattered field for a cylindrical cavity in an elastic medium [17,18].…”

Section: Introductionmentioning

confidence: 99%

Ultrasonic Scattered Field Distribution of One and Two Cylindrical Solids with Phased Array Technique

Liu

Wang

et al. 2019

Chin. J. Mech. Eng.

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The scattered fields of plane waves in a solid from a cylinder or sphere are critical in determining its acoustic characteristics as well as in engineering applications. This paper investigates the scattered field distributions of different incident waves created by elastic cylinders embedded in an elastic isotropic medium. Scattered waves, including longitudinal and transverse waves both inside and outside the cylinder, are described with specific modalities under an incident plane wave. A model with a scatterer embedded in a structural steel matrix and filled with aluminum is developed for comparison with the theoretical solution. The frequency of the plane wave ranged from 235 kHz to 2348 kHz, which corresponds to scaling factors from 0.5 to 5. Scattered field distributions in matrix materials blocked by an elastic cylindrical solid have been obtained by simulation or calculated using existing parameters. The simulation results are in good agreement with the theoretical solution, which supports the correctness of the simulation analysis. Furthermore, ultrasonic phased arrays are used to study scattered fields by changing the characteristics of the incident wave. On this foundation, a partial preliminary study of the scattered field distribution of double cylinders in a solid has been carried out, and the scattered field distribution at a given distance has been found to exhibit particular behaviors at different moments. Further studies on directivities and scattered fields are expected to improve the quantification of scattered images in isotropic solid materials by the phased array technique.

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“…In this work, the first solution has been considered due to its simplicity and applicability to inhomogeneous media. Interested readers on the scalar and vector potentials can find more information about it in the literature [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Multi-GPU and multi-CPU accelerated FDTD scheme for vibroacoustic applications

Francés

Otero

Bleda

et al. 2015

Computer Physics Communications

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a b s t r a c tThe Finite-Difference Time-Domain (FDTD) method is applied to the analysis of vibroacoustic problems and to study the propagation of longitudinal and transversal waves in a stratified media. The potential of the scheme and the relevance of each acceleration strategy for massively computations in FDTD are demonstrated in this work. In this paper, we propose two new specific implementations of the bidimensional scheme of the FDTD method using multi-CPU and multi-GPU, respectively. In the first implementation, an open source message passing interface (OMPI) has been included in order to massively exploit the resources of a biprocessor station with two Intel Xeon processors. Moreover, regarding CPU code version, the streaming SIMD extensions (SSE) and also the advanced vectorial extensions (AVX) have been included with shared memory approaches that take advantage of the multi-core platforms. On the other hand, the second implementation called the multi-GPU code version is based on Peer-to-Peer communications available in CUDA on two GPUs (NVIDIA GTX 670). Subsequently, this paper presents an accurate analysis of the influence of the different code versions including shared memory approaches, vector instructions and multi-processors (both CPU and GPU) and compares them in order to delimit the degree of improvement of using distributed solutions based on multi-CPU and multi-GPU. The performance of both approaches was analysed and it has been demonstrated that the addition of shared memory schemes to CPU computing improves substantially the performance of vector instructions enlarging the simulation sizes that use efficiently the cache memory of CPUs. In this case GPU computing is slightly twice times faster than the fine tuned CPU version in both cases one and two nodes. However, for massively computations explicit vector instructions do not worth it since the memory bandwidth is the limiting factor and the performance tends to be the same than the sequential version with auto-vectorisation and also shared memory approach. In this scenario GPU computing is the best option since it provides a homogeneous behaviour. More specifically, the speedup of GPU computing achieves an upper limit of 12 for both one and two GPUs, whereas the performance reaches peak values of 80 GFlops and 146 GFlops for the performance for one GPU and two GPUs respectively. Finally, the method is applied to an earth crust profile in order to demonstrate the potential of our approach and the necessity of applying acceleration strategies in these type of applications.

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Expression of acoustic fields in solids by scalar and vector velocity potentials

Cited by 11 publications

References 1 publication

Expression of contour vibration modes of a square plate by scalar and vector velocity potentials.

Expression of contour vibration modes of a square plate by scalar and vector velocity potentials.

Ultrasonic Scattered Field Distribution of One and Two Cylindrical Solids with Phased Array Technique

Multi-GPU and multi-CPU accelerated FDTD scheme for vibroacoustic applications

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