In a broader research context, we aim to explore and improve existing mathematical models able to predict and simulate the evolution of the coastline in time, taking into account the variation of seabed topography and morphology, as well as resistance conditions, time intervals between storm surges, seasonal variations and viscosity, all factors that greatly influence coastal dynamics. With this target, relying on a numerical approach, in the present contribution we implement our investigation considering waves analytically modeled through the Saint Venant’s equations. We exploit the COMSOL Multiphysics simulation platform, which allows to handle engineering problems governed by PDEs, highlighting if and how seabed topography, friction term and dispersion coefficient influence the elevation of the water column in space and time which, in turn, has an impact on the coastal erosion. Two particular topographies are taken into account, designed to simulate seabeds with common features actually existing. A number of graphical results are provided and commented, accompanying the conclusions with a brief note on potential future advancements and applications.
A Shallow Water Model: Analytical and Numerical Study for Simulating the Coastline Evolution
Zampoli V.
2025-01-01
Abstract
In a broader research context, we aim to explore and improve existing mathematical models able to predict and simulate the evolution of the coastline in time, taking into account the variation of seabed topography and morphology, as well as resistance conditions, time intervals between storm surges, seasonal variations and viscosity, all factors that greatly influence coastal dynamics. With this target, relying on a numerical approach, in the present contribution we implement our investigation considering waves analytically modeled through the Saint Venant’s equations. We exploit the COMSOL Multiphysics simulation platform, which allows to handle engineering problems governed by PDEs, highlighting if and how seabed topography, friction term and dispersion coefficient influence the elevation of the water column in space and time which, in turn, has an impact on the coastal erosion. Two particular topographies are taken into account, designed to simulate seabeds with common features actually existing. A number of graphical results are provided and commented, accompanying the conclusions with a brief note on potential future advancements and applications.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.