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Conflicting requirements of speed and accuracy in underwater acoustics

机译:水下声学速度和准确性的冲突要求

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"...the art of applying wave theory to the real world is ... the art of finding the best approximations...." Tolstoy 1973 Computational techniques for predicting underwater propagation loss are reviewed with regard to the trade-off between speed and accuracy. Intensive computational methods (e.g. finite element or finite difference solutions) can be used to generate accurate benchmarks, but are impractical for realistic underwater acoustic problems because of their reliance on super-computing resources, particularly for 3D problems. Methods such as the paraxial, adiabatic or WKB approximations are invoked in practice, inevitably sacrificing some accuracy for the necessary speed. This trade-pff is at the heart of the efficient solution of practical problems in underwater acoustics. The result is inevitably a compromise, and here we illustrate the importance of making the right choice of method, by comparing the results of different approximations against a standard benchmark solution.
机译:“......将波理论应用于现实世界的艺术是......找到最佳近似的艺术......”对于预测水下传播损失的托尔斯泰1973,关于速度之间的权衡审查了预测水下传播损失的计算技术 和准确性。 密集的计算方法(例如有限元或有限差分解决方案)可用于产生准确的基准,但由于它们依赖于超计算资源,特别是对于3D问题而言,对于现实的水下声学问题是不切实际的。 在实践中调用诸如近似,绝热或WKB近似的方法,不可避免地为必要的速度牺牲一些准确性。 这种贸易PFF是在水下声学中有效解决实际问题的核心。 结果不可避免地是一个妥协,这里我们说明了通过比较标准基准解决方案的不同近似的结果来制定方法的重要性。

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