我们必须在流的哪里放置障碍物以使其速率最小化？

IF 2.5 3区工程技术 Q2 MECHANICS

European Journal of Mechanics B-fluids Pub Date : 2025-06-14 DOI:10.1016/j.euromechflu.2025.204310

François Bouchon, Laurent Chupin

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引用次数: 0

摘要

我们提出了一种数值方法来确定如何在施加进口约束力的斯托克斯流中放置固定障碍物，以使流量最小。为了做到这一点，我们研究了与这种斯托克斯流相关的形状导数，并提出了一种下降算法。我们首先考虑球形障碍物的情况，然后是一般刚性障碍物，其中必须考虑方向。数值模拟完成了这项研究。

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Where must we place obstacles in a flow to minimise its rate ?

We propose a numerical method in order to determining how to place fixed obstacles in a Stokes flow, for which the inlet constraint force is imposed, so that the flow rate is minimised. To do this, we study the shape derivative associated to such a Stokes flow, and we propose a descent algorithm. We first consider the case of spherical obstacles, and then general rigid obstacles for which the orientation must be taken into account. Numerical simulations complete the study.

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来源期刊

European Journal of Mechanics B-fluids 物理-力学

CiteScore

5.90

自引率

3.80%

发文量

127

审稿时长

58 days

期刊介绍： The European Journal of Mechanics - B/Fluids publishes papers in all fields of fluid mechanics. Although investigations in well-established areas are within the scope of the journal, recent developments and innovative ideas are particularly welcome. Theoretical, computational and experimental papers are equally welcome. Mathematical methods, be they deterministic or stochastic, analytical or numerical, will be accepted provided they serve to clarify some identifiable problems in fluid mechanics, and provided the significance of results is explained. Similarly, experimental papers must add physical insight in to the understanding of fluid mechanics.