本文選題：有限元 + 海洋聲傳播　； 參考：《哈爾濱工程大學》2016年碩士論文

【摘要】：以有限元法為代表的數(shù)值計算方法能夠用于不規(guī)則海底粗糙海面邊界和不均勻海水介質等復雜海洋環(huán)境下的聲傳播問題,在水下聲場計算和特性分析方面受到越來越多的關注。本論文從有限元算法求解波動方程的基本理論推導開始,以通用型有限元軟件Comsol Multiphysics 5.0中的聲學模塊為仿真平臺,建立低頻點源聲傳播模型,實現(xiàn)基于有限元算法的聲場計算。二維聲傳播研究中,標準楔形流體海底波導問題一直被用做檢驗聲傳播模型準確與否的基本模型。本文首先建立流體海底COMSOL模型,通過比對表明了 COMSOL模型有限元結果的準確性;接著建模仿真彈性海底情況下低頻點源的聲傳播情況,綜合對比分析了剪切波對聲傳播的影響以及傳播過程中出現(xiàn)的界面波現(xiàn)象。實際海洋聲傳播環(huán)境為空間變化的三維環(huán)境,本文將COMSOL模型推廣到三維理想波導并對傳播特性做了分析。除上述內容以外,本文還分別對COMSOL軟件在二維和三維模型中的計算效率和計算機硬件消耗做了對比,研究了 PML的最佳適用范圍,并通過軟件提供的APP開發(fā)器建立了三維水平理想波導的聲場模型APP應用,為以COMSOL為代表的商業(yè)有限元軟件更好地應用于實際聲傳播問題提供了新思路。
[Abstract]:The numerical method represented by finite element method (FEM) can be applied to the acoustic propagation in complex marine environments such as irregular seabed rough sea surface boundary and inhomogeneous seawater medium. More and more attention has been paid to the underwater acoustic field calculation and characteristic analysis. Starting from the basic theory of solving wave equation by finite element method, the acoustic module in Comsol Multiphysics 5.0 is used as the simulation platform, and the acoustic propagation model of low frequency point source is established, and the sound field calculation based on finite element algorithm is realized in this paper. In the study of two-dimensional acoustic propagation, the problem of standard wedge-shaped fluid subsea waveguide has been used as the basic model to verify the accuracy of acoustic propagation model. In this paper, first of all, the finite element results of the COMSOL model are proved to be accurate by comparison, and the sound propagation of the low frequency point source under the elastic seabed is modeled and simulated. The influence of shear wave on acoustic propagation and the phenomenon of interfacial wave in the process of propagation are compared and analyzed. The actual ocean acoustic propagation environment is a three-dimensional environment with spatial variation. In this paper, the COMSOL model is extended to the three-dimensional ideal waveguide and the propagation characteristics are analyzed. In addition to the above contents, the computational efficiency and computer hardware consumption of COMSOL software in two-dimensional and three-dimensional models are compared, and the optimal application range of PML is studied. The application of the sound field model of the 3D horizontal ideal waveguide is established by using the app developer provided by the software, which provides a new idea for the commercial finite element software, which is represented by COMSOL, to better apply to the practical sound propagation problem.
【學位授予單位】：哈爾濱工程大學
【學位級別】：碩士
【學位授予年份】：2016
【分類號】：P733.21

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