0723 Numerical and mathematical advances on dispersive free surface water waves: From theoretical issues to practical applications on coastal, ocean and river flows

  • Maria Kazolea, Inria Bordeaux So
  • Martin Parisot
  • Maurizio Brocchini
  • Henrik Kalisch
  • Dimitrios Mitsotakis

The last decades, several mathematical and numerical models have been developed, allowing the simulation of water wave physical phenomena in ocean and coastal environments. They contributed not only to the study of them but also to the prediction and safety against, for example flood or storm waves, on coastal and urban areas.

Dispersion plays a crucial role on the accurate description of free surface flows. It is important not only for deep water waves, where frequency dispersion effects dominate, but also in other physical phenomena like for example the flow behind a spillway, where dispersive effects need to be considered, particularly for the sediment transport. Significant research effort has been put into advancing understanding of important processes taking place in coastal, ocean and river flows and are inextricably linked with dispersion.

In this context, this mini-symposium is intended to collect multidisciplinary contributions that encompass the most recent progress in the context of wave generation, propagation and run-up as well as in sheared flows, wave breaking, shoaling, diffraction and refraction of water waves.
We will focus on the following important aspects of water waves: mathematical modeling; analysis of PDEs; numerical methods, numerical analysis, and applications.

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