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FFlowCCS Résumé de rapport

Project ID: 319968
Financé au titre de: FP7-IDEAS-ERC
Pays: Switzerland

Mid-Term Report Summary - FFLOWCCS (Fluid Flow in Complex and Curved Spaces)

The project is based on the application of fluid dynamics, in particular in the numerical realization of the Lattice Boltzmann method, to problems with deforming boundaries, with particular emphasis on porous media, curved spaces and quantum fluids. The porous media analysis should be sided by statistical modelling and experiments of clogging.

In the meantime huge progress has been achieved in the extension of the Lattice Boltzmann method to relativistic and quantum systems: New families of polynomials for Jüttner, Fermi-Dirac and Bose-Einstein distributions were introduced and ultra-relativistic simulations became possible. Subsequently for the first time a Lattice Wigner model was developed. As unexpected spin-off, namely a novel DFT method to calculate molecular structures by solving the Kohn-Sham equation with Lattice Boltzmann was invented and tested, comparing in its first version already very favorably in performance with today’s best methods. Lattice Boltzmann simulations were used to get insight about the temporal sequence of solar flares, study instabilities of relativistic gases, modelling debris flow and simulate the flow through “campylotic”, i.e. randomly curved spaces. Presently we are working on the application to graphene.

Important advances were made also in implementing strongly deformable boundaries using subdivision shell elements, leading to the discovery of the warped morphology of membranes deformed by wires. Presently we are working on calculating the spatial curvature induced in the bulk by arbitrarily shaped boundaries.

Also concerning statistical models of abrupt clogging phenomena for porous media much progress could be achieved finding under which conditions first order transitions could be expected. The experimental set-up to study clogging and sand production is operational and first results are very encouraging.

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