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Pré-Publication, Document De Travail Année : 2014

DORT method for the detection of small moving disks in a fluid

Résumé

We are interested in determining the positions and the velocities of moving rigid solids in a bounded cavity filled with a perfect fluid. We assume that the solids are small disks and that they move slowly. Using an integral formulation, we first derive the asymptotic expansion of the DtN map of the problem as the diameters of the disks tend to zero. Then, combining a suitable choice of exponential type data and the DORT technique (which is usually used in inverse scattering for the detection of point-like scatterers), we propose a reconstruction method for the unknown positions and velocities.
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Dates et versions

hal-01098067 , version 1 (22-12-2014)
hal-01098067 , version 2 (04-01-2015)
hal-01098067 , version 3 (23-10-2015)
hal-01098067 , version 4 (08-03-2016)

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  • HAL Id : hal-01098067 , version 2

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Alexandre Munnier, Karim Ramdani. DORT method for the detection of small moving disks in a fluid. 2014. ⟨hal-01098067v2⟩
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