Full Nonlinearity in Weakly Dispersive Boussinesq Models: Luxury or Necessity
Publication: Journal of Hydraulic Engineering
Volume 150, Issue 1
Abstract
Boussinesq-type (BT) models play a major role in coastal engineering applications. Due to their asymptotic nature, these models have lent themselves to constant study and improvement based on the inclusion/removal of asymptotically small terms. In this work, we go back to the fundamental question of whether full nonlinearity in weakly dispersive BT models is a necessity. We reconsider the tests first used in the literature to address this issue, as well as a number of more demanding issues. We also consider different families of weakly nonlinear BT models, with different shoaling characteristics, especially when nonlinear waves are involved. Our study allows us to point out that for many cases, it is quite hard to conclude whether full nonlinearity is really necessary. There are a few discriminant cases, which are unfortunately not those mostly used in the literature proposing new models or new numerical methods.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors are grateful to Prof. Oscar Castro-Orgaz (Universidad de Cordoba, Spain) for inviting them to contribute to this special issue. The authors also want to thank Prof. Frederic Dias (University College Dublin, ENS-Paris-Saclay) for kindly providing the Euler solution for the test case extreme runup on a vertical barrier.
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Published In
Journal of Hydraulic Engineering
Volume 150 • Issue 1 • January 2024
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Mar 26, 2023
Accepted: Sep 7, 2023
Published online: Nov 10, 2023
Published in print: Jan 1, 2024
Discussion open until: Apr 10, 2024
ASCE Technical Topics:
- Bibliographies
- Boussinesq equations
- Coastal engineering
- Coasts, oceans, ports, and waterways engineering
- Continuum mechanics
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Fluid mechanics
- Geomechanics
- Geotechnical engineering
- Hydrologic engineering
- Information management
- Methodology (by type)
- Models (by type)
- Nonlinear waves
- Numerical methods
- Numerical models
- Soil mechanics
- Soil properties
- Soil stress
- Solid mechanics
- Water and water resources
- Wave shoaling
- Waves (fluid mechanics)
- Waves (mechanics)
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