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Sensitivities for a Single Drop Simulation

机译:单滴模拟的灵敏度

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In process engineering, a single drop is investigated to better understand its physical and chemical behavior. Laboratory experiments using the Nuclear Magnetic Resonance (NMR) technology are prepared by numerical simulations aiming at finding a suitable geometry of the measuring cell. In the underlying numerical optimization problem, derivatives of the flow field around a single drop with respect to geometric parameters are needed. Rather than using numerical differentiation based on divided differencing, a technique called automatic differentiation is used to compute truncation-error free derivative values. It is shown that automatic differentiation is comparable to numerical differentiation in terms of CPU time but eliminates potential problems in accuracy encountered when using numerical differentiation.
机译:在过程工程中,对单个液滴进行了研究,以更好地了解其物理和化学行为。通过数值模拟准备了使用核磁共振(NMR)技术的实验室实验,旨在找到合适的测量单元几何形状。在潜在的数值优化问题中,需要围绕几何参数的单个液滴周围的流场导数。与其使用基于差分的微分,不如使用一种称为自动微分的技术来计算无截断误差的导数值。结果表明,就CPU时间而言,自动微分与数字微分相当,但消除了使用数字微分时遇到的精度问题。

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