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首页> 外文期刊>Journal of Computational Physics >On a way to save memory when solving time domain boundary integral equations for acoustic and vibroacoustic applications
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On a way to save memory when solving time domain boundary integral equations for acoustic and vibroacoustic applications

机译：在解决时域边界积分方程的一种方法，用于缓解声学和vibro声学应用程序的时间域边界积分方程

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Abstract Solving acoustic equations in the time domain, possibly coupled with the description of flexible structure dynamics, remains attractive as compared to solving the same in the frequency domain: this allows for better consideration of local non-linearities (acoustics/structure), and the boundary integral formulation (also known as BEM) offers an exact description of the infinite acoustic field based on a simple surface mesh (no need for 3D-volume discretization). Some issues remain however: the required memory space and computation time continue to grow rapidly when the number of elements of the surface mesh increases. In the case of a structure with a regular non-slender shape, the computational cost, measured in terms of required memory space, varies by Helmholtz number to the power of 4. This paper illustrates how the accelerating method called NGTD helps overcome this difficulty. This paper shows the applicability of 2 level NGTD to acoustic and vibroacoustic problems described solely by the hypersingular formulation for surfaces. It goes into more detail on some important aspects of the interpolation process and on the memory saving obtained. Implementation within the MOT (“March-On-Time”) ASTRYD code shows the benefits of this method. The memory requirement shows an estimated trend lower than power 1.35 of the number of surface elements. ]]>
机译：<！[cdata [ 抽象 求解时域中的声学方程，可能与柔性结构动态的描述耦合，与频域中的相同相比，仍然有吸引力：这允许更好地考虑局部非线性（声学/结构），边界积分制定（也称为BEM）提供基于简单的表面网格的无限声场的精确描述（无需3D卷离散化）。然而，有些问题仍然存在：当表面网格的元素的数量增加时，所需的存储空间和计算时间继续快速增长。在具有常规非细长形状的结构的情况下，根据所需的存储空间测量的计算成本通过Helmholtz号码变化为4.本文说明了称为NGTD的加速方法如何帮助克服这种困难。本文显示了2级NGTD对表面上的过度晶体制剂来描述的2级NGTD对声学和植状音响问题的适用性。它对插值过程的一些重要方面以及获得的内存保存有更多详细信息。在MOT内的实施（“行进时间”）ASTRYD代码显示了这种方法的好处。内存要求显示估计趋势低于表面元素数量的功率1.35。 ]]>

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