106 citations · 730 across the 45 of their papers we have counts for
3 papers · 1 filter
Adaptive modeling of shallow fully nonlinear gravity waves
Denys Dutykh, Didier Clamond, Dimitrios Mitsotakis
This paper presents an extended version of the celebrated Serre-Green-Naghdi (SGN) system. This extension is based on the well-known Bona-Smith-Nwogu trick which aims to improve th…
A new run-up algorithm based on local high-order analytic expansions
Gayaz Khakimzyanov, Nina Shokina, Denys Dutykh +1
The practically important problem of the wave run-up is studied in this article in the framework of Nonlinear Shallow Water Equations (NSWE). The main novelty consists in the usage…
On the nonlinear dynamics of the traveling-wave solutions of the Serre system
Dimitrios Mitsotakis, Denys Dutykh, John D. Carter
We numerically study nonlinear phenomena related to the dynamics of traveling wave solutions of the Serre equations including the stability, the persistence, the interactions and t…