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首页> 外文期刊>Journal of Computational and Applied Mathematics >Computational performance of analytical methods for the acoustic modelling of automotive exhaust devices incorporating monoliths
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Computational performance of analytical methods for the acoustic modelling of automotive exhaust devices incorporating monoliths

机译：掺入整料型汽车排气装置声学建模分析方法的计算性能

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The acoustic modelling of automotive exhaust devices, such as catalytic converters (CC) and diesel particulate filters (DPF), usually requires the use of multidimensional analytical and numerical techniques. The presence of higher order modes and three-dimensional waves in the expansion and contraction subdomains, as well as sound propagation within the monolith capillary ducts, can be considered through the finite element method (FEM), although this approach is traditionally thought to be very time consuming. With a view to overcome this limitation and to reduce the computational effort of the FEM, alternative modelling techniques are presented in the current work to speed up transmission loss calculations in exhaust devices incorporating monoliths. These approaches are based on the point collocation technique and the mode matching method. As shown in earlier studies, the sound attenuation of an exhaust device incorporating a monolith can be properly predicted if the latter is replaced by a plane wave four-pole transfer matrix providing a relationship between the acoustic fields at both sides of the monolithic region. Therefore, this work combines the presence of multidimensional higher order modes in the expansion and contraction regions with one-dimensional wave propagation within the capillary ducts of the central monolith. The point collocation technique and the mode matching method are applied to the compatibility conditions of the acoustic fields at all the subdomain interfaces to couple the solutions of the wave equation in the corresponding exhaust device subcomponents. For the particular case of rigid circular ducts, Bessel functions are considered as transversal pressure modes. The computational efficiency and accuracy of the results associated with the two analytical modelling techniques presented here are assessed, including the effect of the number of modes and collocation points, as well as their location. All the analytical approaches proposed in thi
机译：汽车排气装置，例如催化转化器（CC）和柴油微粒过滤器（DPF）的声学建模，通常需要使用多维分析和数字技术。较高阶模式和三维波的膨胀和收缩的子域，以及该整料毛细管管道内的声音传播，可通过有限元方法（FEM）认为，尽管这种方法传统上认为是非常的存在耗时。以克服这种限制，并减少FEM的计算工作量，替代建模技术在当前工作中提出在将整料排气设备以加快传输损耗计算。这些方法是基于点搭配技术和模式匹配方法。如在早先的研究中所示，结合有整体的排气装置的声音衰减可以适当如果后者是由一个平面波四极转移矩阵提供在单块区域的两侧上的声场之间的关系替换预测。因此，这种工作在组合膨胀和收缩区域多维较高阶模式的与中央整料的毛细管管道内的一维的波传播的存在。点搭配技术和模式匹配方法在所有子域接口在相应的排气装置的子组件施加到声场的相容性条件以耦合波动方程的解。对于刚性圆形管道的特定情况下，贝塞尔函数被认为是横向压力模式。计算效率，并与这里提出的两种分析建模技术相关联的结果的准确性进行评估，包括模式和配置点的数量，以及它们的位置的效果。所有THI提出的分析方法

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