Email this article Run-Up of a Nonlinear Monochromatic Wave on a Plane Beach in Presence of a Tide
- Authors: Didenkulova I.I.1,2, Pelinovsky E.N.2,3,4,5
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Affiliations:
- Department of Marine Systems, Tallinn University of Technology
- Nizhny Novgorod State Technical University n.a. R.E. Alekseev
- Institute of Applied Physics, Russian Academy of Sciences
- National Research University Higher School of Economics
- Special Research Bureau for Automation of Marine Researches
- Issue: Vol 59, No 4 (2019)
- Pages: 478-481
- Section: Marine Physics
- URL: https://bakhtiniada.ru/0001-4370/article/view/149893
- DOI: https://doi.org/10.1134/S0001437019040027
- ID: 149893
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Abstract
Abstract—The nonlinear problem of run-up of a long wave on a plane beach in presence of a tide is solved within nonlinear shallow water theory using the Carrier–Greenspan approach. An exact solution to the nonlinear problem for the wave run-up height is found as a function of the incident wave amplitude. The influence of the tide on the characteristics of wave run-up on a beach is studied.
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About the authors
I. I. Didenkulova
Department of Marine Systems, Tallinn University of Technology; Nizhny Novgorod State Technical University n.a. R.E. Alekseev
Author for correspondence.
Email: dii@appl.sci-nnov.ru
Estonia, Tallinn; Nizhny Novgorod
E. N. Pelinovsky
Nizhny Novgorod State Technical University n.a. R.E. Alekseev; Institute of Applied Physics, Russian Academy of Sciences; National Research University Higher School of Economics; Special Research Bureau for Automation of Marine Researches
Author for correspondence.
Email: pelinovsky@appl.sci-nnov.ru
Russian Federation, Nizhny Novgorod; Nizhny Novgorod; Moscow; Yuzhno-Sakhalinsk
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