14 citations · 39 across the 3 of their papers we have counts for
4 papers
Dispersive shallow water wave modelling. Part II: Numerical simulation on a globally flat space
Gayaz Khakimzyanov, Denys Dutykh, Oleg Gusev +1
In this paper, we describe a numerical method to solve numerically the weakly dispersive fully nonlinear Serre-Green-Naghdi (SGN) celebrated model. Namely, our scheme is based on r…
Numerical simulation of conservation laws with moving grid nodes: Application to tsunami wave modelling
Gayaz Khakimzyanov, Denys Dutykh, Dimitrios Mitsotakis +1
In the present article we describe a few simple and efficient finite volume type schemes on moving grids in one spatial dimension combined with appropriate predictor-corrector meth…
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…
Dispersive waves generated by an underwater landslide
Denys Dutykh, Dimitrios Mitsotakis, Sonya Beysel +1
In this work we study the generation of water waves by an underwater sliding mass. The wave dynamics are assumed to fell into the shallow water regime. However, the characteristic…