107 citations · 3.2k across the 144 of their papers we have counts for
15 papers · 1 filter
Dispersive shallow water wave modelling. Part IV: Numerical simulation on a globally spherical geometry
Gayaz Khakimzyanov, Denys Dutykh, Oleg Gusev
In the present manuscript, we consider the problem of dispersive wave simulation on a rotating globally spherical geometry. In this Part IV, we focus on numerical aspects while the…
Dispersive shallow water wave modelling. Part III: Model derivation on a globally spherical geometry
Gayaz Khakimzyanov, Denys Dutykh, Zinaida Fedotova
The present article is the third part of a series of papers devoted to the shallow water wave modelling. In this part, we investigate the derivation of some long wave models on a d…
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…
Dispersive shallow water wave modelling. Part I: Model derivation on a globally flat space
Gayaz Khakimzyanov, Denys Dutykh, Zinaida Fedotova +1
In this paper, we review the history and current state-of-the-art in the modelling of long nonlinear dispersive waves. For the sake of conciseness of this review, we omit the unidi…
Numerical modelling of surface water wave interaction with a moving wall
Gayaz Khakimzyanov, Denys Dutykh
In the present manuscript, we consider the practical problem of wave interaction with a vertical wall. However, the novelty here consists in the fact that the wall can move horizon…
Advanced reduced-order models for moisture diffusion in porous media
Suelen Gasparin, Julien Berger, Denys Dutykh +1
It is of great concern to produce numerically efficient methods for moisture diffusion through porous media, capable of accurately calculate moisture distribution with a reduced co…