We prove the existence of a family of immersed obstacles that have zero wave resistance in the context of the 2D Neumann–Kelvin problem. We first build a waveless potential by superposing a source and a sink in a uniform flow for an appropriate choice of parameters. The obstacle is obtained by a combination of streamlines of the waveless potential. Numerical simulations show that the construction is valid for a large set of parameters.

中文翻译：

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无限深流中具有零波阻力的兰金式气缸

我们证明了在二维Neumann–Kelvin问题的情况下，具有零波电阻的浸入式障碍物的存在。我们首先通过将源和汇以均匀的流动方式叠加以建立适当的参数来建立无波势。通过无波势流线的组合获得障碍。数值模拟表明，该构造对大量参数有效。