Nom de l'encadrant
Nicolas Grenier
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Coupling between a Shallow-Water model and a Direct Numerical Simulation model for the study of films
To study falling films on a plate which are sheared by a gas flow, a numerical approach based on the resolution of all spatial scales in both the liquid and the gas is affordable only if high performance computing resources are available.
An alternative approach is to remark that the liquid height is thin compared to other spatial dimensions (span and length) : Navier-Stokes equations can be then reformulated on an integral form based on the height. This leads to the Shallow-Water (SW) model. The resulting system of equations lost a dimension and therefore becomes less expensive to solve.

However this last approach fails if a gas flow above the film is sufficiently strong to act on the liquid flow. A forcing term modelling viscous shear from an ideal gas flow can be then added to the SW model. But if the interface deformation is such that locally the gas flow can be perturbed, the ideal flow hypothesis becomes false and a Direct Numerical Simulation (DNS) of the gas flow will be more appropriate.

The objective of this Master internship is to study this two-way coupling between a SW model for the liquid film and a DNS model for the gas. This coupling has been successfully tested on a co-current shearing configuration but the originality of the proposed work is to extend this methodology to counter-current flows and to enhance stability of the SW model with respect to capillary effects.

The candidate will work on existing SW and DNS research codes. He/she will adapt these software to the constraints imposed by the coupling (to include shear stress in the SW model and to introduce Arbitrary Lagrange-Euler formalism and moving meshes in the Low-Mach DNS code).

After coupling, he/she will validate it on experimental datasets provided by partner labs and will determine the range of validity of the coupling. He/she will enrich the SW model by the approach.
transferts et énergétique
Mots clés
  • simulations numériques
  • Ecoulements diphasiques
  • Solveur Navier-Stokes
Date de début
2 mois

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