期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 55, 期 41, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1751-8121/ac9358
关键词
edge waves; vorticity; Lagrangian variables; exact solution
资金
- IAP RAS [0030-2021-0009]
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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