利用三角形前向展开法追踪温度梯度场中的声线路径

Acoustic Ray Tracing in Two-dimensional Temperature Gradient Field by Deploying Triangles

声波在温度梯度场中传播路径的弯曲效应是影响声学法温度场重建精度的一个重要因素,因而有必要弄清温度梯度场中声波的真实传播路径。二维声线追踪的三角形前向展开法,以几何声学为理论基础,对空间进行三角形划分,由斯涅尔法则确定声线路径。该文使用二维空间中的三角形前向展开方法,对二维温度梯度场中的声线轨迹进行追踪,并分别在具体的单峰对称温度场和单峰偏斜温度场模型中,对该声线追踪算法进行了仿真计算和分析。仿真结果表明,温度梯度场中的声波路径发生了明显的弯曲,并且由高温区域向低温区域弯曲。仿真结果与理论结果是一致的。

The acoustic wave refraction in temperature gradient field is an important factor that affects the reconstructing accuracy of temperature field by acoustic method, so it is important to investigate on the true propagation paths of acoustic wave in two-dimensional temperature gradient field. The two-dimensional acoustic ray tracing method by forward deploying triangle, which is based on the geometric acoustics, divides the space by triangles and then confirms the acoustic ray tracing by Snell rule. This paper investigated the true propagation paths of acoustic wave in two-dimensional temperature gradient field-single peaked symmetry and deflective respectively, using the two- dimensional acoustic ray tracing method of forward deploying triangle. Besides, a simulating calculation and analysis of this acoustic ray tracing algorithm in model temperature was given. The simulating result shows that the acoustic wave has an obvious refractive effect, which is refracting from the high temperaure field to the low temperature field. The simulating result is consistent well with the theoretical estimate.