Thesis “Structure-preserving semi-implicit schemes for solving hyperbolic systems in environmental applications” M/F
PhD @French National Centre for Scientific Research posted 2 days agoJob Description
General information
Job title: Thesis “Structure-preserving semi-implicit schemes for solving hyperbolic systems in environmental applications” M/F
Reference: UMR5127-LAUBAS-005
Number of positions: 1
Work location: LE BOURGET DU LAC
Publication date: Thursday, June 5, 2025
Type of contract: Fixed-term contract Doctoral student
Contract duration: 36 months
Thesis start date: November 1, 2025
Workload: Full
Remuneration: The remuneration is a minimum of €2,200.00 per month
Section(s) CN: 41 – Mathematics and interactions of mathematics
Description of the thesis subject
One of the major challenges for the future of our planet is the development of a sustainable society. This implies a strong commitment to research into new green energy production systems as well as to reducing CO₂ emissions.
In this context, hydropower is a widely used source for clean energy production, while CO₂ storage in empty underground reservoirs is emerging as a promising strategy to contribute to the reduction of greenhouse gas emissions.
Numerical techniques play a key role in understanding these complex phenomena. They constitute a powerful tool for studying, designing, and controlling these processes at different scales.
The physical phenomena involved are modeled by nonlinear systems of partial differential equations. To solve them, numerical methods such as finite volume and finite difference schemes are classically used. In particular, semi-implicit time-domain schemes are of notable interest, as they offer better numerical stability, thus increasing the overall efficiency of simulations.
The main objective of this thesis is the design, analysis and implementation of state-of-the-art numerical methods, exhibiting rigorously demonstrable asymptotic and structure preservation properties at the discrete level. These methods will be specifically adapted to applications involving rotating turbomachinery systems used in hydroelectric power plants, as well as CO₂ injection processes into underground reservoirs.
Collaborations with Politecnico di Milano (Italy) and EPFL (Switzerland) are planned within the framework of this project, in order to work in close interaction with researchers specialized in the numerical simulation of rotating turbomachinery systems and in underground CO₂ storage.
Work context
The LAMA laboratory is a mathematics laboratory located in Bourget-du-Lac near Chambéry. It has around thirty permanent staff (researchers and lecturer-researchers) in the fields of pure mathematics, applied mathematics, and mathematics for computer science. The host team will be the EDPs2 team. The doctoral student will work with scientists from the Politecnico di Milano (Italy) and EPFL (Switzerland).
Constraints and risks
Travel possible for participation in national or international scientific conferences.
