ICCE 2022

How to Cite

Kuznetsov, S., Saprykina, Y., & Shtremel, M. (2023). FREE AND BOUND WAVES IN THE COASTAL ZONE: FIELD, LABORATORY AND NUMERICAL EXPERIMENTS. Coastal Engineering Proceedings, (37), papers.16.


Traditionally we look on storm waves as on periodic in space and time motion. Main feature of wave transformation in the coastal zone over inclined bottom is the higher harmonic generation that occurs so fast (during the one wavelength) that we can’t consider the wave motion as periodic in space. Spatial measurements of the wave profile are difficult in the coastal zone and are replaced by point chronograms of free surface elevations and then interpreted using traditional wave theories to calculate the practically important the wave energy and speed of wave propagation. These interpretations very often lead to paradoxical results, such as unexpected spatial fluctuations of the wave energy and propagation velocities, which are usually interpreted as shortcomings in the calibration of gauges, but our experience told that is the result of simultaneous existing of free and bound waves. Many researchers consider the free and bound second and higher harmonics of waves on the intermediate water as “parasitic” or “spurious” and try to avoid it in laboratory and in numerical experiments, but second harmonic are practically important. We will try to figure out what is the matter on the basis of field, laboratory and numerical experiments consider the waves in both time and space domains.


Bailard, J. 1981. An energetics total load sediment transport model for a plane sloping beach. J. Geophys. Res., 86 (C11), 10938 – 10954.

Kuznetsov, S., and Y. Saprykina. 2021. Nonlinear wave transformation in coastal zone: free and bound waves, Fluids, 6, 10, 347.

Madsen P.A., and O.R. Sørensen. 1993. Bound waves and triad interactions in shallow water. Ocean Engineering, 20, 359-388.

Pierella, F., Bredmose, H., and M. Dixen. 2021. Generation of highly nonlinear irregular waves in a wave flume experiment: Spurious harmonics and their effect on the wave spectrum. Coastal Engineering, 164, 103816.

Saprykina Ya.V., and S.Yu. Kuznetsov. 2008. Fluctuations of energy flux of waves. Proceedings of the 12th International Congress of the International Maritime Association of the Mediterranean, IMAM, 811-817.

Saprykina, Y. 2020. The influence of wave nonlinearity on cross-shore sediment transport in coastal zone: experimental investigations. Appl. Sci., 10, 4087.

Saprykina, Y.V.; Kuznetsov, S.Y.; Kuznetsova, O.A.; Shugan, I.V., and Y.Y. Chen. 2020. Wave breaking type as a typical sign of nonlinear wave transformation stage in coastal zone. Phys. Wave Phenom., 28, 75–82.

Shtremel M., Saprykina Ya., and B. Ayat. 2022. The method for evaluating cross-shore migration of sand bar under the influence of nonlinear waves transformation. Water, 14, 2, 214.

Stive, M.J.F. 1986. A model for cross-shore sediment transport. Proceedings of 20th International Conference on Coastal Engineering, ASCE, 1(20), 114, 1550-1564.

Zijlema, M., Stelling, G. and P. Smit. 2011. SWASH: An operational public domain code for simulating wave fields and rapidly varied flows in coastal waters. Coast. Engng., 58, 992-1012.

Кuznetsov S.Y., and N.S. Speransky. 1994. Anomalous dispersion paradox in shallow water gravity waves shoaling over slopping bottom. Proceedings of the 2nd International Symposium on ocean wave measurement and analysis, 364-373.

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Copyright (c) 2023 Sergey Kuznetsov, Yana Saprykina, Margarita Shtremel