Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 55, Issue 41, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1751-8121/ac9358
Keywords
edge waves; vorticity; Lagrangian variables; exact solution
Categories
Funding
- IAP RAS [0030-2021-0009]
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An analytical description of unsteady edge waves over a uniform slope is proposed, assuming that the waves are excited by time-harmonic external pressure with inhomogeneous spatial distribution. The problem is considered in Lagrangian variables and an exact solution of the hydrodynamic equations is obtained, generalizing the stationary Gerstner-Constantin solution. The proposed model describes the dynamics of coastal splashes of arbitrary initial shape and has the ability to describe waves both propagating and standing in the longshore direction.
An analytical description of unsteady edge waves over a uniform slope is proposed. It is assumed that the waves are excited by time-harmonic external pressure with inhomogeneous spatial distribution. The problem is considered in Lagrangian variables. An exact solution of the hydrodynamic equations is obtained. It generalizes the stationary Gerstner-Constantin solution. The proposed model describes the dynamics of coastal splashes of arbitrary initial shape. An important feature of the new solution is that it describes waves both propagating and standing in the longshore direction.
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