A5021362593- Computational Fluid Dynamics and Aerodynamics
- Navier-Stokes equation solutions
- Coastal and Marine Dynamics
- Ocean Waves and Remote Sensing
- Algal biology and biofuel production
- Fluid Dynamics and Turbulent Flows
- Elasticity and Material Modeling
- Oceanographic and Atmospheric Processes
- Advanced Numerical Methods in Computational Mathematics
- Aquatic Ecosystems and Phytoplankton Dynamics
- Cardiovascular Function and Risk Factors
- Tropical and Extratropical Cyclones Research
- earthquake and tectonic studies
- Cardiac electrophysiology and arrhythmias
- Lattice Boltzmann Simulation Studies
- Marine and coastal ecosystems
- Meteorological Phenomena and Simulations
- Geological and Geophysical Studies Worldwide
- Aquatic and Environmental Studies
- Seismic Waves and Analysis
- Vehicle Dynamics and Control Systems
- Dynamics and Control of Mechanical Systems
- French Urban and Social Studies
- Hydraulic flow and structures
- Soil erosion and sediment transport
Institut national de recherche en informatique et en automatique
2011-2024
Sorbonne Université
2013-2024
Laboratoire Jacques-Louis Lions
2014-2024
Université Paris Cité
2018-2024
Centre National de la Recherche Scientifique
2012-2024
Digital Science (United States)
2023
Laboratoire de Géographie Physique
2022
Sorbonne Paris Cité
2018-2021
Centre d'Études et d'Expertise sur les Risques, l'Environnement, la Mobilité et l'Aménagement
2014-2018
Laboratoire Angevin de Recherche en Mathématiques
2014
The standard multilayer Saint-Venant system consists in introducing fluid layers that are advected by the interfacial velocities.As a consequence there is no mass exchanges between these and each layer described its height average velocity.Here we introduce another with neighborhing where unknowns total of water an velocity per layer.We derive it from Navier-Stokes hydrostatic pressure prove energy hyperbolicity properties model.We also give kinetic interpretation leading to effective...
We propose a numerical analysis of proper orthogonal decomposition (POD) model reductions in which priori error estimates are expressed terms the projection errors that controlled construction POD bases. These derived for generic parabolic evolution PDEs, including with non-linear Lipschitz right-hand sides, and wave-like equations. A specific continuity norm appears – whereas general uniform bound seems out reach we prove such holds variety Galerkin bases choices. Furthermore, directly...
In geophysics, the shallow water model is a good approximation of incompressible Navier-Stokes system with free surface and it widely used for its mathematical structure computational efficiency.However, applications this are restricted by two approximations under which was derived, namely hydrostatic pressure vertical averaging.Each has been addressed separately in literature: first one overcome taking into account hydrodynamic (e.g. non-hydrostatic or Green-Naghdi models); second proposing...
In this paper, we present an original derivation process of a non-hydrostatic shallow water-type model which aims at approximating the incompressible Euler and Navier-Stokes systems with free surface. The closure relations are obtained by minimal energy constraint instead asymptotic expansion. slightly differs from well-known Green-Naghdi is confronted stationary analytical solutions system corresponding to rotational flows. At end give time-dependent for that also proposed but not model. We...
Hydrodynamics in a high-rate production reactor for microalgae cultivation affects the light history perceived by cells. The interplay between cell movement and medium turbidity leads to complex pattern, whose forcing effects on photosynthesis photoacclimation dynamics are non-trivial. of high density algal ponds mixed paddle wheel has been studied recently, although focus never describing its impact photosynthetic growth efficiency. In this multidisciplinary downscaling study, we first...
A lot of well-balanced schemes have been proposed for discretizing the classical Saint-Venant system shallow water flows with nonflat bottom. Among them, hydrostatic reconstruction scheme is a simple and efficient one. It involves knowledge an arbitrary solver homogeneous problem (for example, Godunov, Roe, kinetic, etc.). If this entropy satisfying, then satisfies semi-discrete inequality. In paper we prove that, when used kinetic solver, also fully discrete inequality, but error term. This...
We address the issue of parameter variations in POD approximations time-dependent problems, without any specific restriction on form dependence. Considering a parabolic model problem, we propose construction strategy allowing us to obtain some priori error estimates controlled by remainder – procedure and parameter-wise interpolation errors for solutions. provide thorough numerical assessment this with FitzHugh − Nagumo 1D model. Finally, give detailed illustrations approach two estimation...
Starting from the Euler equations for incompressible flows, we propose an extension of classical Saint-Venant system where non-hydrostatic pressure terms are taken into account in asymptotic expansion. We also derive a multilayer version this vertically averaged system. The approach allows mass exchanges between neighboring layers. Finally give kinetic type interpretation proposed models.
We are interested in the modeling and numerical approximation of flows presence a roof, for example sewers or under an ice floe. A shallow water model with supplementary congestion constraint describing roof is derived from Navier-Stokes equations. The challenging problem resolution hyperbolic To overcome this difficulty, we follow pseudo-compressibility relaxation approach. Eventually, scheme based on finite volume method proposed. well-balanced property dissipation mechanical energy,...
From the free surface Navier-Stokes system, we derive non-hydrostatic Saint-Venant system for shallow waters including friction and viscosity. Based on an asymptotic analysis, derivation leads to two formulations of growing complexity depending level approximation chosen fluid pressure. The obtained models rely formal estimates are compared with Boussinesq models.
In this note we are interested in the modelling of sediment transport phenomena. We mostly focus on bedload and do not consider suspension processes. first propose a numerical scheme for classical Saint-Venant – Exner model. It is based relaxation approach whole system it works with all flux function. The stability investigated some tests proposed. exhibit that coupled more stable than splitting used industrial softwares. Then derive an original three layers model order to overcome...
The Alboran Basin may be subject to tsunami hazards. If such an event were occur, it is expected that the urbanised and densely populated areas of northern Moroccan coastline would affected. Precise inundation hazard maps are needed for risk management in this region. In article, we argue diversity mapping methods ensures robustness scientific knowledge about exposure a territory. Hence, main objective study analyse plain Martil (north Morocco), by using four create two scenarios tsunamis...
Cultivating oleaginous microalgae in specific culturing devices such as raceways is seen a future way to produce biofuel. The complexity of this process coupling non linear biological activity hydrodynamics makes the optimization problem very delicate. large amount parameters be taken into account paves for useful mathematical modeling. Due heterogeneity along depth dimension regarding temperature, light intensity or nutrients availability, we adopt multilayer approach and biology. For free...
We propose a variational framework for the resolution of non-hydrostatic Saint-Venant type model with bottom topography. This is shallow water approximation incompressible Euler system free surface and slightly differs from Green-Nagdhi model, see [13] more details about derivation.  The numerical relies on prediction-correction scheme initially introduced by Chorin-Temam [17] to treat incompressibility in Navier-Stokes equations. The hyperbolic part ofthe approximated using...
In this paper we propose a strategy to approximate incompressible hydrostatic free surface Euler and Navier-Stokes models.The main advantage of the proposed models is that water depth dynamical variable system hence model formulated over fixed domain.The extends previous works approximating systems using multilayer description.Here, needed closure relations are obtained an energy-based optimality criterion instead asymptotic expansion.Moreover, layer-averaged description successfully applied...
Abstract The classical Saint‐Venant system is well suited for the modeling of dam breaks, hydraulic jumps, reservoir emptying, flooding etc. For many applications, extension to case non‐rectangular channels necessary and this section‐averaged exhibits additional source terms. main difficulty these equations consists discretization In paper we propose a kinetic interpretation section averaged derive an associated numerical scheme. scheme—2nd order in space time—preserves positivity water...
Developing robust data assimilation methods for hyperbolic conservation laws is a challenging subject. Those PDEs indeed show no dissipation effects and the input of additional information in model equations may introduce errors that propagate create shocks. We propose new approach based on kinetic description law. A equation first order partial differential which advection velocity free variable. In certain cases, it possible to prove nonlinear law equivalent linear equation. Hence, carried...