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- Centre National de la Recherche ScientifiqueFR120 papers
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- Laboratoire de Mathématiques Blaise PascalFR30 papers
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9 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 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…
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…
On the estimation of moisture permeability and advection coefficients of a wood fibre material using the optimal experiment design approach
Julien Berger, Thomas Busser, Denys Dutykh +1
This paper presents a practical application of the concept of Optimal Experiment Design (OED) for the determination of properties of porous materials with in-situ measurements and…
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…