论文标题
流量测量：逆问题制定
Flow Measurement: An Inverse Problem Formulation
论文作者
论文摘要
本文提出了一种基于具有部分边界测量的波方程的反向源问题的流量测量的新数学公式。受声多普勒电流探查器（ADCP）设计的启发，我们制定了一个逆源问题，该问题可以从几个边界接收器上的观察数据中恢复流场。据我们所知，这是使用部分微分方程的第一个流量测量的数学模型。该模型被证明良好，并得出相应的算法以有效地计算速度场。进行大量的数值模拟以证明我们模型的准确性和鲁棒性。我们的配方能够模拟各种实际的测量场景。
This paper proposes a new mathematical formulation for flow measurement based on the inverse source problem for wave equations with partial boundary measurement. Inspired by the design of acoustic Doppler current profilers (ADCPs), we formulate an inverse source problem that can recover the flow field from the observation data on a few boundary receivers. To our knowledge, this is the first mathematical model of flow measurement using partial differential equations. This model is proved well-posed, and the corresponding algorithm is derived to compute the velocity field efficiently. Extensive numerical simulations are performed to demonstrate the accuracy and robustness of our model. Our formulation is capable of simulating a variety of practical measurement scenarios.
