107 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR169 papers
- Université Savoie Mont BlancFR162 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR85 papers
- Institut National des Sciences Mathématiques et de leurs InteractionsFR69 papers
- Laboratoire de Mathématiques Blaise PascalFR33 papers
- Laboratoire Jean-Alexandre DieudonnéFR21 papers
- Laboratoire Optimisation de la Conception et Ingénierie de l'EnvironnementFR21 papers
- Université Grenoble AlpesFR19 papers
- Université Paris-Est CréteilFR19 papers
- University College DublinIE17 papers
- Université Nice Sophia AntipolisFR16 papers
- Pontifícia Universidade Católica do ParanáBR15 papers
28 papers · 1 filter
Dispersive and non-dispersive nonlinear long wave transformations: Numerical and experimental results
Tomas Torsvik, Ahmed Abdalazeez, Denys Dutykh +2
The description of gravity waves propagating on the water surface is considered from a historical point of view, with specific emphasis on the development of a theoretical framewor…
Hamiltonian regularisation of shallow water equations with uneven bottom
Didier Clamond, Denys Dutykh, Dimitrios Mitsotakis
The regularisation of nonlinear hyperbolic conservation laws has been a problem of great importance for achieving uniqueness of weak solutions and also for accurate numerical simul…
On some model equations for pulsatile flow in viscoelastic vessels
Dimitrios Mitsotakis, Denys Dutykh, Qian Li +1
Considered here is the derivation of partial differential equations arising in pulsatile flow in pipes with viscoelastic walls. The equations are asymptotic models describing the p…
Weakly singular shock profiles for a non-dispersive regularization of shallow-water equations
Yue Pu, Robert Pego, Denys Dutykh +1
We study a regularization of the classical Saint-Venant (shallow-water) equations, recently introduced by D. Clamond and D. Dutykh (Commun. Nonl. Sci. Numer. Simulat. 55 (2018) 237…
Asymptotic nonlinear and dispersive pulsatile flow in elastic vessels with cylindrical symmetry
Dimitrios Mitsotakis, Denys Dutykh, Li Qian
The asymptotic derivation of a new family of one-dimensional, weakly nonlinear and weakly dispersive equations that model the flow of an ideal fluid in an elastic vessel is present…
On the velocity of turbidity currents over moderate slopes
V. Yu Liapidevskii, Denys Dutykh
In the present article we consider the problem of underwater avalanches propagating over moderate slopes. The main goal of our work is to investigate the avalanche front velocity s…
Peregrine's system revisited
Angel Durán, Denys Dutykh, Dimitrios Mitsotakis
In 1967 D. H. Peregrine proposed a Boussinesq-type model for long waves in shallow waters of varying depth. This prominent paper turned a new leaf in coastal hydrodynamics along wi…
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…
On the modelling of shallow turbidity flows
Valery Liapidevskii, Denys Dutykh, Marguerite Gisclon
In this study we investigate shallow turbidity density currents and underflows from mechanical point of view. We propose a simple hyperbolic model for such flows. On one hand, our…
Non-dispersive conservative regularisation of nonlinear shallow water (and isothermal Euler) equations
Didier Clamond, Denys Dutykh
A new regularisation of the shallow water (and isentropic Euler) equations is proposed. The regularised equations are non-dissipative, non-dispersive and possess a variational stru…
Solitary wave solutions and their interactions for fully nonlinear water waves with surface tension in the generalized Serre equations
Denys Dutykh, Mark Hoefer, Dimitrios Mitsotakis
Some effects of surface tension on fully-nonlinear, long, surface water waves are studied by numerical means. The differences between various solitary waves and their interactions…
Serre-type equations in deep water
Denys Dutykh, Didier Clamond, Marx Chhay
This manuscript is devoted to the modelling of water waves in the deep water regime with some emphasis on the underlying variational structures. The present article should be consi…
New asymptotic heat transfer model in thin liquid films
Marx Chhay, Denys Dutykh, Marguerite Gisclon +1
In this article, we present a model of heat transfer occurring through a li\-quid film flowing down a vertical wall. This new model is formally derived using the method of asymptot…
Efficient computation of capillary-gravity generalized solitary waves
Denys Dutykh, Didier Clamond, Angel Duran
This paper is devoted to the computation of capillary-gravity solitary waves of the irrotational incompressible Euler equations with free surface. The numerical study is a continua…
Modeling water waves beyond perturbations
Didier Clamond, Denys Dutykh
In this chapter, we illustrate the advantage of variational principles for modeling water waves from an elementary practical viewpoint. The method is based on a `relaxed' variation…
A plethora of generalised solitary gravity-capillary water waves
Didier Clamond, Denys Dutykh, Angel Duran
The present study describes, first, an efficient algorithm for computing capillary-gravity solitary waves solutions of the irrotational Euler equations with a free surface and, sec…
The Whitham Equation as a Model for Surface Water Waves
Daulet Moldabayev, Henrik Kalisch, Denys Dutykh
The Whitham equation was proposed as an alternate model equation for the simplified description of uni-directional wave motion at the surface of an inviscid fluid. As the Whitham e…
Observation of the Inverse Energy Cascade in the modified Korteweg-de Vries Equation
Denys Dutykh, Elena Tobisch
In this Letter we demonstrate for the first time the formation of the inverse energy cascade in the focusing modified Korteweg-de Vries (mKdV) equation. We study numerically the pr…
Visco-potential flows in electrohydrodynamics
Matthew Hunt, Denys Dutykh
In this study we consider the problem of the interface motion under the capillary-gravity and an external electric forces. The infinitely deep fluid layer is assumed to be viscous,…
Numerical simulation of wave impact on a rigid wall using a two-phase compressible SPH method
Ashkan Rafiee, Denys Dutykh, Frédéric Dias
In this paper, an SPH method based on the SPH-ALE formulation is used for modelling two-phase flows with large density ratios and realistic sound speeds. The SPH scheme is further…
Efficient computation of steady solitary gravity waves
Denys Dutykh, Didier Clamond
An efficient numerical method to compute solitary wave solutions to the free surface Euler equations is reported. It is based on the conformal mapping technique combined with an ef…