 9
 4
 1
 1
 1
Geoffrey Beck
16
Documents
Researcher identifiers
 geoffreybeck
 000000030967213X
 IdRef : 197337767
 Google Scholar : https://scholar.google.fr/citations?user=4cRX_t8AAAAJ
Presentation
Waveturbulence manage to give a statistic description of the effective balance of the mean energy input from a source at low wavenumbers, transfer of energy through reversible nonlinearities to higher and higher wavenumbers. The final goal is to derive a wave kinetic equation which describe this cascade from a random initial ocean. But catching the specfic asymtotic regime where the nonlinearties are small and the time scale is sufficiently long to allow quasiresonnance mechanism isn't an easy task. To check the physical relevance of waveturbulence regime, one can imagine a laboratory experiment where the water surface becomes random with the help of a folationg object whch act as a random shaker.
I'm also interseted to interactions of waterwaves with a partially immersed body allowed to move freely in the vertical direction. In 2D fluid, the whole system of equations can be reduced to a transmission problem with transmission conditions given in terms of the displacement of the object and of the average horizontal discharge beneath it; these two quantities are in turn determined by two nonlinear ODEs with forcing terms coming from the exterior wavefield. One application of this prject is to recover wave energy by the the solid displacement.
The wave energy are transferred to device by electrical cable. I also work on derivation of 1D models of electrical networks from 3D electromagnetic wave propagation by multisacle asymptotic analysis of 3D Maxwell equations. Important effortd are devoted to understand the skineffect due to the high contrast of conductity inside a cable, to take into acconunt singular geometry such as defect on junctions, or comparaison beetween 1D models and 3D simulations. One motivation to reduced complex wave propagtion to simple 1D models is tu use the last ones for wire troubleshooting. One intersting inverse problem is how to recover underlying graph for unknows electrical networks by reflectometry.
Publications
 5
 4
 4
 3
 2
 2
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 5
 5
 3
 2
 2
 2
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 1
 7
 5
 4
 3
 2
 1
 1
 1
 1
 1
 1
 1
 1

Wave power farm made of many rigid floating structures in Boussinesq regimeWAVES 2022 — 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jul 2022, Palaiseau, France
Conference papers
hal03628899v1


Effective models for nonperfectly conducting thin coaxial cablesWaves 2019  14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Aug 2019, Vienna, Austria
Conference papers
hal02414849v1


Recovering underlying graph for networks of 1D waveguides by reflectometry and transferometryWAVES 2019  14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Aug 2019, Vienna, Austria
Conference papers
hal02414861v1

Reconstruction of an unknown electrical network from their reflectogram by an iterative algorithm based on local identification of peaks and inverse scattering theory2018 IEEE International Instrumentation and Measurement Technology Conference (I2MTC), May 2018, Houston, France. pp.16, ⟨10.1109/I2MTC.2018.8409731⟩
Conference papers
hal02453477v1



Matched asymptotics approach to the construction and justification of reduced graph models for 3D Maxwell's equations in networks of thin coaxial cables12th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2015), Department of Mathematics at Karlsruhe Institute of Technology (KIT), Jul 2015, Karlsruhe, Germany
Conference papers
hal02088458v1

A rigorous approach to the propagation of electromagnetic waves in coaxial cables11th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2013), Jun 2013, Gamarth, Tunisia
Conference papers
hal02453471v1

Computerimplemented method for reconstructing the topology of a network of cablesFrance, Patent n° : US Patent App. 16/638,451, 2020. 2017, https://patents.google.com/patent/US20200363462A1/en
Patents
hal03115293v1


A Linear Stochastic Model of Turbulent Cascades and Fractional Fields2023
Preprints, Working Papers, ...
hal03919233v2


A NUMERICAL METHOD FOR WAVESTRUCTURE INTERACTIONS IN THE BOUSSINESQ REGIME2023
Preprints, Working Papers, ...
hal04151128v1


Electromagnetic waves propagation in thin heterogenous coaxial cables. Comparaison between 3D and 1D models2023
Preprints, Working Papers, ...
hal04147142v3
