修正的造波理论、动量通量和涡量
Corrected Wavemaker Theory, Momentum Flux and Vorticity
摘要：
通常的造波机理论隐藏了一个不合理的积分常数假设，使其无效。我们讨论了一些令人惊讶的微妙的动量通量在无限波，包和一些违反直觉的例子中，“隐藏”通量的贡献可能会出现。从这里，我们构建了一个理想的造波机，从一系列的微射流，允许边界上的力的精确计算建立艾里波。这使我们能够直接计算所有守恒量的通量，并排除其中一些对动量通量的隐藏贡献。然后我们讨论一些现实的挡板造波器以及涡度源可能在由此产生的流体运动中造成的麻烦。一路上，我们提出了一个完全本地推导的群速度使用通量。
英文摘要：
The usual wavemaker theory hides an unjustified integration constant assumption that renders it invalid. We discuss some surprising subtleties of momentum flux in infinite waves, packets and some counterintuitive examples where "hidden" flux contributions can arise. From here, we construct an ideal wavemaker that builds Airy waves from a series of microjets that allows an exact calculation of the forces on boundaries. This allows us to also compute the fluxes of all conserved quantities directly and rule out some of these hidden contributions to momentum flux. We then discuss some realistic flapper wavemakers and the trouble vorticity sources can create in the resulting fluid motion. Along the way we present a completely local derivation of the group velocity using fluxes.
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