30 citations · 133 across the 10 of their papers we have counts for
10 papers
Long wave interaction with a partially immersed body. Part II: Numerical results
Gayaz Khakimzyanov, Denys Dutykh, Oleg Gusev
In this manuscript we perform an extensive numerical study of the long wave interaction problem with a fixed partially immersed body into a fluid layer. The incident wave is assume…
Numerical investigation of the wave force on a partially immersed rectangular structure: Long waves over a flat bottom
Oleg Gusev, Gayaz Khakimzyanov, Leonid Chubarov
This paper describes the results from a numerical estimation of the force exerted by long surface waves on a fixed and partially immersed rectangular structure. The topic is connec…
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…
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…
On supraconvergence phenomenon for second order centered finite differences on non-uniform grids
Gayaz Khakimzyanov, Denys Dutykh
In the present study we consider an example of a boundary value problem for a simple second order ordinary differential equation, which may exhibit a boundary layer phenomenon. We…
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…