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Parametric array sound field space distribution obtaining method based on conservation upwind scheme

A technology of spatial distribution and parametric array, which is applied in the field of parametric array sound field, can solve the problems of high requirements and coordination, and achieve the effect of regular grid division and improved calculation efficiency

Active Publication Date: 2014-10-01
HARBIN ENG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

This algorithm can obviously improve computing efficiency, but it needs to use multiple computers to achieve parallel computing, and it has high requirements for the cooperation between computers.

Method used

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  • Parametric array sound field space distribution obtaining method based on conservation upwind scheme
  • Parametric array sound field space distribution obtaining method based on conservation upwind scheme
  • Parametric array sound field space distribution obtaining method based on conservation upwind scheme

Examples

Experimental program
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Effect test

Embodiment

[0046] (a) Determine the limited calculation area of ​​the parametric array sound field according to the basic data of the parametric array sound source and the propagation medium, and discretize it into a grid model; take the radiation sound field of a circular piston sound source as an example, convert the three-dimensional calculation area to two Dimensional roz plane, the calculation area is divided by the rectangular grid with the best fitting degree to the boundary, and the finite calculation area model of the parametric array sound field is established. Set 0max The interval is divided into M segments, and each layer corresponds to an axial position z m , let m=1 be called the first layer, and the radial coordinate subscript j of each layer along the radial direction, that is, the r direction, changes from 1 to J, that is, J sound pressure values ​​must be calculated for each layer;

[0047] (b) According to the formation conditions of the parameter array, read z 1 The...

example 1

[0072] Example 1: Analysis of parametric array sound field characteristics

[0073] The example parameters are set as follows: Taking the parametric array radiation system formed by a circular piston sound source as an example, based on the axisymmetric characteristics of the piston sound source, calculate the spatial distribution of the parametric array sound field in a limited area (such as figure 2 shown). Let the radius of the transducer be a, and the radial calculation area be (0,r max ), where r max =31a, the axial calculation area of ​​the transducer is (0,z max ), where z max =2.5d, d=πf 0 a 2 / c is the Rayleigh distance corresponding to the center frequency of the original wave radiated by the transducer. The position of the piston sound source is [1, a], and the radial calculation range is [1, 31a]. In order to reduce the interference of the boundary reflection on the calculated sound field, the area [30a, 31a] is set as the PML area, assuming that each axial ...

example 2

[0081] Example 2: Analysis of time spent in calculation

[0082] The parameters are the same as in Example 1. Set the extension length of the axial sound field to 2.5 times the Rayleigh distance, divide it into 10 equal parts, and each equal part is about 0.25 times the Rayleigh distance. We make the unit Rayleigh distance 60 respectively. , 120 equal divisions, draw a table according to the time it takes for the sound field axial deduction process to reach each axial position node, and compare the time spent by different sound field acquisition methods.

[0083] The distributions in Table 1 and Table 2 indicate that the Rayleigh distance of the axial unit is divided into 60 and 120 equal parts, and it takes time for two different methods to obtain the spatial distribution of the parametric array sound field at each axial position.

[0084] Table 1 Comparison of the time spent by the two methods to obtain the sound field process

[0085]

[0086]

[0087] Table 2 Compar...

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Abstract

The invention belongs to the parametric array sound field, and particularly relates to a parametric array sound field space distribution obtaining method based on a conservation upwind scheme. The parametric array sound field space distribution obtaining method based on the conservation upwind scheme includes: reading a geometry scale, axial symmetry information and elementary wave frequency of a parametric array sound source and sound speed, density and a nonlinear coefficient of a communication media, obtaining a sound field calculation area in a shape which can be matched with the shape of a parametric array element according to basic data, and performing discrete gridding; reading initial conditions of a parametric array transmitting system: obtaining a source point frequency domain signal of each node in the first axial layer of grid elements; converting the source point frequency domain signals of all the nodes in the first axial layer of the grid elements into source point time domain signals through Fourier inversion; using a non-viscous Burgers equation which describes parametric array nonlinear effects, and obtaining a source point frequency domain signal of each node in the second axial layer of grid elements through the conservation upwind scheme; obtaining parametric array sound field space distribution. The parametric array sound field space distribution obtaining method based on the conservation upwind scheme uses the conservation upwind scheme to improve calculation efficiency, and can regularly and simply partition the grid elements in the calculation area.

Description

technical field [0001] The invention belongs to the field of parametric array sound field, and in particular relates to a method for obtaining the spatial distribution of parametric array sound field based on a conserved upwind style. Background technique [0002] In 1962, Peter Westerwelt first gave the initial model of the acoustic parameter array (parametric array). In 1965, H.O. Berkay gave a more precise and complete theoretical explanation of the acoustic parameter array. Regardless of the Westerwelt or Berktay theoretical models, many approximations have been made in their derivation process, and the established physical models are not accurate enough. In the 1970s, three scholars, Khokhlov, Zabolotskaya and Kuznetsov, comprehensively considered the nonlinearity, absorption and diffraction effects in the propagation process of the original wave, and provided a more accurate acoustic parameter array model - the KZK equation. This equation avoids the use of the volume...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F19/00
Inventor 杨德森李中政方尔正
Owner HARBIN ENG UNIV
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