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Modelling and numerical simulation of elastic turbulence (H/F)

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Français - Anglais

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General information

Reference : UMR7351-DARVIN-001
Workplace : NICE
Date of publication : Tuesday, July 23, 2019
Scientific Responsible name : Dario Vincenzi
Type of Contract : PhD Student contract / Thesis offer
Contract Period : 36 months
Start date of the thesis : 1 October 2019
Proportion of work : Full time
Remuneration : 2 135,00 € gross monthly

Description of the thesis topic

Elastic turbulence is a chaotic regime that emerges in polymer solutions at weak inertia owing to purely elastic instabilities. It was discovered about twenty years ago by Groisman et Steinberg [Nature 405, 53 (2000)] and is now commonly used in micro-fluidics to enhance mixing and heat transfer as well as to favour phenomena such as emulsification. Elastic turbulence and its applications have been widely studied in experiments. In contrast, the modelling of elastic turbulence is still rather rudimentary and the numerical simulation of this phenomenon is restricted to very idealized configurations compared to applications (most of the simulations that can be found in the literature are in two dimensions and/or in a periodic domain). The goal of this thesis is to advance the modelling and the simulation of elastic turbulence in realistic conditions. Questions that will be addressed include: the improvement of models of visco-elastic fluids, the study of the effect of polymer degradation, the generalization of the phenomenon to other non-Newtonian fluids, the study of the formation of elastic waves.

Work Context

The mathematics institute Jean Alexandre Dieudonné is part of the University Côte d'Azur. It is on the Valrose campus, in the city centre of Nice. It consists of six research teams. The main research areas are : algebraic geometry, algebraic topology, dynamical systems, analysis, partial differential equations, numerical analysis, fluid mechanics, probability and statistics, and complex systems. A particular importance is also given to the interactions of mathematics with other fields, such as physics, mechanics, chemistry, and biology.
The student will work in the "Numerical modelling and fluid dynamics" team under the supervision of Dario Vincenzi, who is a CNRS researcher.
Furthermore, the student will spend some months per year at the 'International Centre for Theoretical Sciences, Bangalore, India, where he/she will work in collaboration with Samriddhi Sankar Ray.

Additional Information

The student will preferably have a background in physics or applied mathematics. A knowledge in fluid mechanics will also be appreciated.

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