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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >A time-space decomposition method for calculating the nearfield pressure generated by a pulsed circular piston
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A time-space decomposition method for calculating the nearfield pressure generated by a pulsed circular piston

机译：一种时空分解方法，用于计算脉冲圆形活塞产生的近场压力

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摘要

A time-space decomposition approach is derived for numerical calculations of the transient nearfield pressure generated by a circular piston. Time-space decomposition analytically separates the temporal and spatial components of a rapidly converging single integral expression, thereby converting transient nearfield pressure calculations into the superposition of a small number of fast-converging spatial integrals that are weighted by time-dependent factors. Results indicate that, for the same peak error value, time-space decomposition is at least one or two orders of magnitude faster than the Rayleigh-Sommerfeld integral, the Schoch integral, the Field II program, and the DREAM program. Time-space decomposition is also faster than methods that directly calculate the impulse response by at least a factor of 3 for a 10% peak error and by a factor of 17 for a 1% peak error. The results show that, for a specified maximum error value, time-space decomposition is significantly faster than the impulse response and other analytical integrals evaluated for computations of transient nearfield pressures generated by circular pistons.
机译：导出了一种时空分解方法，用于对圆形活塞产生的瞬态近场压力进行数值计算。时空分解从分析上分离了快速收敛的单个积分表达式的时间和空间成分，从而将瞬态近场压力计算转换为少量的快速收敛的空间积分的叠加，这些时间积分由与时间有关的因素加权。结果表明，对于相同的峰值误差值，时空分解比Rayleigh-Sommerfeld积分，Schoch积分，Field II程序和DREAM程序至少快一个或两个数量级。时空分解也比直接计算脉冲响应的方法快（对于10％的峰值误差至少为3倍，对于1％的峰值误差为17倍）。结果表明，对于指定的最大误差值，时空分解明显快于脉冲响应和用于分析圆形活塞产生的瞬态近场压力所评估的其他分析积分的速度。

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