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一種基于波數(shù)積分方法的線源聲場計(jì)算方法

發(fā)布時間:2018-10-05 15:34
【摘要】:提出了在Pekeris波導(dǎo)條件下,一種基于波數(shù)積分方法的線源聲場中的穩(wěn)定數(shù)值計(jì)算方法。通過對深度格林函數(shù)中上行波與下行波的歸一化,得到穩(wěn)定的系數(shù)矩陣,從而求得格林函數(shù)的解析解。對深度格林函數(shù)進(jìn)行模式展開,驗(yàn)證了該方法得到的深度格林函數(shù)解析解的準(zhǔn)確性。結(jié)合仿真實(shí)例,將該方法得到的波數(shù)積分模型與傳統(tǒng)簡正波模型KRAKENC的結(jié)果進(jìn)行比較,結(jié)果顯示,當(dāng)某號簡正波的波數(shù)與海底波數(shù)接近時,KRAKENC計(jì)算不出該號簡正波,會導(dǎo)致KARKENC的計(jì)算結(jié)果不準(zhǔn)確,而波數(shù)積分方法可以很好地解決該問題。因此,提出的方法可以作為Pekeris波導(dǎo)中線源激發(fā)聲場的標(biāo)準(zhǔn)模型。
[Abstract]:In this paper, a numerical method based on wavenumber integral method is proposed to calculate the stability of acoustic field in linear source under the condition of Pekeris waveguide. By normalizing the up-going and downgoing waves in the depth Green's function, a stable coefficient matrix is obtained, and the analytic solution of the Green's function is obtained. The analytical solution of the depth Green's function obtained by this method is verified by the model expansion of the depth Green's function. Combined with a simulation example, the results obtained by this method are compared with that of the traditional normal wave model (KRAKENC). The results show that when the wavenumber of a normal wave is close to that of the sea floor, the KRAKENC can not calculate the normal wave. The results of KARKENC's calculation will be inaccurate, and the wavenumber integral method can solve the problem well. Therefore, the proposed method can be used as a standard model for the excitation of sound field by a line source in a Pekeris waveguide.
【作者單位】: 中國科學(xué)院聲學(xué)研究所聲場聲信息國家重點(diǎn)實(shí)驗(yàn)室;中國科學(xué)院大學(xué);中國科學(xué)院聲學(xué)研究所東海研究站;
【基金】:國家自然科學(xué)基金資助項(xiàng)目11434012;41561144006
【分類號】:P733.2
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本文編號:2253924

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