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Chaos dans les systèmes étendus et turbulence développée

Objective


Resolution has been achieved for an open problem in vortex dynamics posed by Hassan Aref by the discovery of a new mechanism for chaotic scattering of 2 point vortex pairs with circulation +/-1.

A new algorithm in molecular dynamics has been developed for the detection of collisions in a dilute gas (continued fraction method, allowing an improvement of up to 1e6 in the computation time compared with previous algorithms).

The theory of the relaxation of a gas of point vortex pairs has been improved, including comparison between numerical simulations and self similar analytic solutions.

A new technique has been developed for calculating Stokes flows in a triply connected domain and compared with experimental results.

Stable localized solutions have been discovered in plane Poiseuille flow.

Numerical calculations have been made of Stokes flow in a doubly connected stadium domain.

Funding Scheme

CSC - Cost-sharing contracts

Coordinator

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE
Address
Rue Michel Ange 3
75794 Paris
France