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A study of the non-linear properties and wave generation of the multi-layer non-hydrostatic wave model SWASH

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Abstract
Despite the increasing use of non -hydrostatic models in the study of wave processes in coastal regions, there is still limited understanding of the non-linear properties of the governing equations and how they improve with increased vertical resolution. In this study, the governing equations of the non -hydrostatic wave model SWASH are analysed and the linear and non-linear solutions up to third -order of all dependent variables are derived, considering one to four vertical layers. The analysis concludes that the model can achieve excellent non-linear properties with respect to the Stokes theory over a large range of water depths using only a few vertical layers. Furthermore, deriving solutions for all variables enables the formulation of improved wave generation and absorption boundary conditions for non -hydrostatic models. A well-known issue of non-linear wave models is related to the generation and propagation of spurious free waves, resulting to non -homogeneous wave fields. In this study, it is proven that by imposing the derived exact mathematical solutions of the governing equations at the model's boundaries, the target first- and second -order wave profiles can be generated with high accuracy, while the spurious waves can be entirely eliminated.
Keywords
Ocean Engineering, Environmental Engineering, Non-hydrostatic model, SWASH, Linear and non-linear properties, Sub-and, super-harmonics, Improved wave generation, BOUSSINESQ-TYPE EQUATIONS, FREE-SURFACE FLOW, RUN-UP, NUMERICAL-SIMULATION, BOUNDARY-CONDITIONS, COASTAL STRUCTURES, WATER, DISPERSION, EFFICIENT, ZONE

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Citation

Please use this url to cite or link to this publication:

MLA
Vasarmidis, Panagiotis, et al. “A Study of the Non-Linear Properties and Wave Generation of the Multi-Layer Non-Hydrostatic Wave Model SWASH.” OCEAN ENGINEERING, vol. 302, 2024, doi:10.1016/j.oceaneng.2024.117633.
APA
Vasarmidis, P., Klonaris, G., Zijlema, M., Stratigaki, V., & Troch, P. (2024). A study of the non-linear properties and wave generation of the multi-layer non-hydrostatic wave model SWASH. OCEAN ENGINEERING, 302. https://doi.org/10.1016/j.oceaneng.2024.117633
Chicago author-date
Vasarmidis, Panagiotis, Georgios Klonaris, Marcel Zijlema, Vicky Stratigaki, and Peter Troch. 2024. “A Study of the Non-Linear Properties and Wave Generation of the Multi-Layer Non-Hydrostatic Wave Model SWASH.” OCEAN ENGINEERING 302. https://doi.org/10.1016/j.oceaneng.2024.117633.
Chicago author-date (all authors)
Vasarmidis, Panagiotis, Georgios Klonaris, Marcel Zijlema, Vicky Stratigaki, and Peter Troch. 2024. “A Study of the Non-Linear Properties and Wave Generation of the Multi-Layer Non-Hydrostatic Wave Model SWASH.” OCEAN ENGINEERING 302. doi:10.1016/j.oceaneng.2024.117633.
Vancouver
1.
Vasarmidis P, Klonaris G, Zijlema M, Stratigaki V, Troch P. A study of the non-linear properties and wave generation of the multi-layer non-hydrostatic wave model SWASH. OCEAN ENGINEERING. 2024;302.
IEEE
[1]
P. Vasarmidis, G. Klonaris, M. Zijlema, V. Stratigaki, and P. Troch, “A study of the non-linear properties and wave generation of the multi-layer non-hydrostatic wave model SWASH,” OCEAN ENGINEERING, vol. 302, 2024.
@article{01HV3JVSF6TVE50PDGPHK8SV20,
  abstract     = {{Despite the increasing use of non -hydrostatic models in the study of wave processes in coastal regions, there is still limited understanding of the non-linear properties of the governing equations and how they improve with increased vertical resolution. In this study, the governing equations of the non -hydrostatic wave model SWASH are analysed and the linear and non-linear solutions up to third -order of all dependent variables are derived, considering one to four vertical layers. The analysis concludes that the model can achieve excellent non-linear properties with respect to the Stokes theory over a large range of water depths using only a few vertical layers. Furthermore, deriving solutions for all variables enables the formulation of improved wave generation and absorption boundary conditions for non -hydrostatic models. A well-known issue of non-linear wave models is related to the generation and propagation of spurious free waves, resulting to non -homogeneous wave fields. In this study, it is proven that by imposing the derived exact mathematical solutions of the governing equations at the model's boundaries, the target first- and second -order wave profiles can be generated with high accuracy, while the spurious waves can be entirely eliminated.}},
  articleno    = {{117633}},
  author       = {{Vasarmidis, Panagiotis and Klonaris, Georgios and Zijlema, Marcel and Stratigaki, Vicky and Troch, Peter}},
  issn         = {{0029-8018}},
  journal      = {{OCEAN ENGINEERING}},
  keywords     = {{Ocean Engineering,Environmental Engineering,Non-hydrostatic model,SWASH,Linear and non-linear properties,Sub-and,super-harmonics,Improved wave generation,BOUSSINESQ-TYPE EQUATIONS,FREE-SURFACE FLOW,RUN-UP,NUMERICAL-SIMULATION,BOUNDARY-CONDITIONS,COASTAL STRUCTURES,WATER,DISPERSION,EFFICIENT,ZONE}},
  language     = {{eng}},
  pages        = {{17}},
  title        = {{A study of the non-linear properties and wave generation of the multi-layer non-hydrostatic wave model SWASH}},
  url          = {{http://doi.org/10.1016/j.oceaneng.2024.117633}},
  volume       = {{302}},
  year         = {{2024}},
}

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