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Interaction of Faraday waves with a granular bed

Henry, Michel
(2020)

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Henry_63961500_2020.pdf
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Details

Supervisors
Legat, Vincent ; Lambrechts, Jonathan
Faculty
Ecole polytechnique de Louvain
Degree label
Master [120] : ingénieur civil en mathématiques appliquées
Abstract
enNumerical simulation of Faraday waves in immersed granular flows is performed in two dimensions. The conservation laws described by an arbitrary Lagrangian Eulerian method give the opportunity to deform the mesh in order to follow the oscillations. To do so, we have developed a resolution procedure for immersed granular flow with a free surface. This method allows the software to describe a class of problems previously unavailable by the MigFlow code. Some examples are shown in this work such as the die-swell problem and Faraday heaps formation. Moreover, an analysis between Faraday waves and a granular bed is provided. We have been able to show that the particles displacement does not affect the induced waves in the experiments. This result is also confirmed by a stability analysis of the linear problem. Furthermore, numerical simulations also provide explanations about the formation of Faraday heaps and the influence of free surface.