The dynamics of the spread of epidemics, such as the recent outbreak of the SARS-CoV-2 virus, is highly nonlinear and therefore difficult to predict. As time evolves in the present pandemic, it appears more and more clearly that a clustered dynamics is a key element of the description. This means that the disease rapidly evolves within spatially localized networks, that diffuse and eventually create new clusters. We improve upon the simplest possible compartmental model, the SIR model, by adding an additional compartment associated with the clustered individuals.
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Publications
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Bos, W.J.T., Bertoglio, JP. and Gostiaux, L.
Modeling the role of clusters and diffusion in the evolution of COVID-19 infections during lock-downComputational Mechanics, april 2021
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S. Aiello et al
Deep-sea deployment of the KM3NeT neutrino telescope detection units by self-unrollingJournal of Instrumentation, vol. 15 P11027 (2020)
KM3NeT is a research infrastructure being installed in the deep Mediterranean Sea. It will house a neutrino telescope comprising hundreds of networked moorings—detection units or strings—equipped with optical instrumentation to detect the Cherenkov radiation generated by charged particles from neutrino-induced collisions in its vicinity.
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A. Briard, L. Gostiaux and B.-J. Gréa
The turbulent Faraday instability in miscible fluidsJournal of Fluid Mechanics, 883, A57 (2020)
Experiments of a turbulent mixing zone created by the Faraday instability at the statically stable interface between salt and fresh water are presented. The two-layer system, contained in a cuboidal tank of large dimensions, is accelerated vertically and periodically at various frequencies and amplitudes for three different density contrasts. We have developed a linear approach accounting for the full inhomogeneous and viscous problem, that is applied to a linear piecewise background density profile, and recovers the limiting cases of interface and homogeneous turbulence with a fully developed mixing layer.
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Normandeau, A. , Bourgault, D. , Neumeier, U. , Lajeunesse, P. , St‐Onge, G. , Gostiaux, L. and Chavanne, C.
Storm‐induced turbidity currents on a sediment‐starved shelf: Insight from direct monitoring and repeat seabed mapping of upslope migrating bedforms.Sedimentology, 67: 1045-1068. (2020)
The monitoring of turbidity currents enables accurate internal structure and timing of these flows to be understood. Without monitoring, triggers of turbidity currents often remain hypothetical and are inferred from sedimentary structures of deposits and their age. In this study, the bottom currents within 20 m of the seabed in one of the Pointe‐des‐Monts (Gulf of St. Lawrence, eastern Canada) submarine canyons were monitored for two consecutive years using Acoustic Doppler Current Profilers. In addition, multibeam bathymetric surveys were carried out during deployment of the Acoustic Doppler Current Profilers and recovery operations.
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Antoine Briard, Benoît-Joseph Gréa and Louis Gostiaux
Harmonic to subharmonic transition of the Faradayinstability in miscible fluidsPhysical Review Fluids, 044502 (2019)
When a stable stratification between two miscible fluids is excited by a vertical and periodic forcing, a turbulent mixing zone can develop, triggered by the Faraday instability. The mixing zone grows and saturates to a recently predicted final value Lsat [Gréa and Ebo Adou,J. Fluid Mech.837,293(2018)] when resonance conditions are no longer fulfilled.
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