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2008•NonlinearityRequires access

On the streamlines and particle paths of gravitational water waves

Mats Ehrnström

Open publisher page 27 citations

Abstract

We investigate steady symmetric gravity water waves in a finite depth. For non-positive vorticity it is shown that the particles display a mean forward drift, and for a class of waves we prove that the size of this drift is strictly increasing from bottom to surface. This includes the case of particles within irrotational waves. We also provide detailed information concerning the streamlines and the particle trajectories.

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What this paper is about

We investigate steady symmetric gravity water waves in a finite depth. For non-positive vorticity it is shown that the particles display a mean forward drift, and for a class of waves we prove that the size of this drift is strictly increasing from bottom to surface. This includes the case of particles within irrotational waves. We also provide detailed information concerning the streamlines and the particle trajectories.

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OpenAlex reports 27 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We investigate steady symmetric gravity water waves in a finite depth. For non-positive vorticity it is shown that the particles display a mean forward drift, and for a class of waves we prove that the size of this drift is strictly increasing from bottom to surface. This includes the case of particles within irrotational waves. We also provide detailed information concerning the streamlines and the particle trajectories.

Key concepts: Streamlines, streaklines, and pathlines, Conservative vector field, Gravitational wave, Vorticity, Mathematics, Particle (ecology), Classical mechanics, Gravity wave

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