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根据切圆炉内典型温度分布特征建立了高斯二维温度场模型,采用有限元软件Comsol并基于声波动方程理论模拟了脉冲声波在温度场中的传播过程,获得了波阵面在相应温度分布下的可视化结果,利用互相关函数法计算了声波在场内的传播时间.作为检验,建立了声线理论模型,并进行基本正确性验证.由声线理论模型得到模拟温度场内声波路径分布,并通过积分法得到理论声波传播时间.结果表明:由波动方程模型模拟出的高斯温度场中的声波传播时间普遍比理论解偏大,误差均在1%以内;误差原因在于数值求解波动方程模型中产生的声源信号伪前移现象,且声源处网格越密、温度越高,伪前移量越大.
Gaussian two-dimensional temperature field model is established according to the typical temperature distribution in the tangent furnace. The propagation of pulse sound waves in the temperature field is simulated by finite element software Comsol and based on the acoustic wave equation of motion theory. Under the visualization results, the propagation time of the sound wave in the field was calculated by the cross-correlation function method.As a test, the sound ray theoretical model was established and the basic correctness verification was carried out.The sound wave path distribution in the simulated temperature field was obtained from the sound ray theoretical model, And the theoretical sonic propagation time is obtained by the integral method.The results show that the propagation time of the sonic wave in the Gaussian temperature field simulated by the wave equation model is generally larger than the theoretical solution and the errors are all within 1%. The reason for the error lies in the numerical solution of the wave equation model In the source signal generated pseudo-forward phenomenon, and the sound source at the grid more dense, the higher the temperature, the greater the amount of pseudo-forward.