MODELING INFRA-GRAVITY WAVES USING SCHISM-WWMIII BASED ON IMPROVED FORMULAS AND COUPLING APPROACH

Jinghua Wang; Philip L.-F. Liu

doi:10.9753/icce.v37.waves.19

No. 37 (2022), Waves

No. 37 (2022)

MODELING INFRA-GRAVITY WAVES USING SCHISM-WWMIII BASED ON IMPROVED FORMULAS AND COUPLING APPROACH

Waves

Published 2023-09-01

Jinghua Wang
Philip L.-F. Liu

Jinghua Wang

Philip L.-F. Liu

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MODELING INFRA-GRAVITY WAVES USING SCHISM-WWMIII BASED ON IMPROVED FORMULAS AND COUPLING APPROACH. (2023). Coastal Engineering Proceedings, 37, waves.19. https://doi.org/10.9753/icce.v37.waves.19

Abstract

The two-way coupled phase-resolved long wave (LW) model and phase-averaged spectrum wave (SW) model is often employed to simulate the coastal flooding due to superimposed astronomical high tides and storm surges. This study suggests an alternative approach by proposing a new formula for the radiation stresses (RS) term to consider the IG waves. The new formula becomes space-time dependent, and it can reduce to the original form of RS and that corresponding to the ‘surf-beats’ (Longuet-Higgins and Stewart, 1964). The new formula is programmed and implemented in the model suite SCHISM-WWMIII (Zhang, et al., 2016), which is used to simulate short wave groups induced bound and free long waves on variable water depth. The good agreement between numerical results and theoretical predictions (Liu, 1989) indicates that the new formula and coupling approach can be accurately used to describe the scattering of the IG waves in coastal waters.

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References

Ardhuin, F., Rawat, A. & Aucan, J. (2014): A numerical model for free infragravity waves: Definition and validation at regional and global scales, Ocean Modelling, Vol. 77, pp. 20-32.

Liu, P. L.-F. (1989): A note on long waves induced by short-wave groups over a shelf, Journal of Fluid Mechanics, Vol. 205, pp. 163-170.

Longuet-Higgins, M. S. & Stewart, R. W. (1964): Radiation stresses in water waves; a physical discussion, with applications, Deep sea research and oceanographic abstracts, 11(4), pp. 529-562.

Okihiro, M., Guza, R. T., & Seymour, R. J. (1992): Bound infragravity waves, Journal of Geophysical Research: Oceans, 97(C7), 11453-11469.

Reniers, A. & Zijlema, M. (2022): SWAN SurfBeat-1D, Coastal Engineering, Vol. 172, pp. 104068.

Rijnsdorp, D. P., Reniers, A. J. & Zijlema, M. (2021): Free infragravity waves in the North Sea, Journal of Geophysical Research: Oceans, 126(8), pp. e2021JC017368.

Wang, J. & Liu, P. L.-F. (2022): An Improved Theoretical Formula and Coupling Approach for Coastal Flood Model Considering the Infra-gravity Waves. AOGS 2022.

Zhang, Y. J., Ye, F., Stanev, E. V., & Grashorn, S. (2016). Seamless cross-scale modeling with SCHISM. Ocean Modelling, Vol. 102, pp. 64-81.

This work is licensed under a Creative Commons Attribution 4.0 International License.

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MODELING INFRA-GRAVITY WAVES USING SCHISM-WWMIII BASED ON IMPROVED FORMULAS AND COUPLING APPROACH

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