用数值方法研究障碍物在室内声传播中的影响

On Numerically Calculating Effect of Obstacles on SoundPropagation in Enclosed Sound Field

研究了室内声场存在障碍物时,如何用数值方法对其进行模拟计算的问题。提出了根据障碍物特点进行分类研究的方法,然后利用声线跟踪法和统计学思想,设计了屏风、隔墙、大量无规则分布的小障碍物3种情况下的室内声场模拟算法。在这些算法中,对镜面反射、扩散反射、散射和透射等现象作了不同程度的考虑。以一个复杂声场模型为例进行了模拟计算,并与理论分析作了比较,结果表明这些算法是可行的。

This research is a part of a project funded by NNSFC(National Natural Science Foundation of China). We designed algorithms on the basis of the well-known ray tracing model to deal with effect of obstacles on sound propagation in enclosed sound field such as in a room. Part of our algorithms is the same for all obstacles. But for different types of obstacles, we found that they need different special algorithms. Subsubsections 1.2.1,1.2.2 and 1.2.3 deal respectively with special algorithms for three different types of obstacles; these three types of obstacles are; partial screen, intervening wall, and a lot of disorderly placed barriers. In the design of these algorithms, we considered such phenomena as specular reflection, diffused reflection, scattering and transmission. Section 2 gives a complicated model as numerical example. Fig. 4 shows the comparison of results calculated by our numerical method with those obtainable theoretically. The comparison shows preliminarily that our numerical method is satisfactory.