共形时域有限差分技术在戏场八字墙中的应用

Application of conformal finite-difference time-domain technology in the splayed walls of theater field

模拟了一椭圆房间内的声聚焦问题,进行了共形技术与阶梯近似法的比较,结果表明共形技术比传统的阶梯近似法更精确,将共形时域有限差分技术引入声波动方程,有利于解决建筑结构中的曲面或者倾斜边界的声学问题。在此基础上,建立了含有八字墙的戏台模型,计算模拟了不同角度、不同宽度的八字墙对各个测区声场强度的影响。同时,计算分析了几种不同八字墙条件下的早期声能比和侧向能量因子,结果显示当八字墙取一定的角度时可加强早期声与侧向反射声,提供了更好的清晰度、空间感等。

Sound focusing problem in an oval room has been simulated through conformal technology and stair approximation method. The results show that conformal technology is more precise than the stair approximation method. Bring the conformal finite-difference time-domain technology into sound wave equations, which is beneficial to solving the problems of curved faces and tilt boundaries in architectural structure. Based on which, stage models have been built containing splayed walls. The influence on sound field intensity in every test area with different angles and different widths has been calculated. Meanwhile, early sound energy ratios and lateral energy factor in several different conditions have been analyzed. The result reveals that the splayed walls can strengthen early sound and lateral refraction when the splayed walls in certain angles, which offers better definition and sence of space.