Reconstruction of turbulence from partial observations

This PhD position is supervised by Prof. Dirk Nuyens (Computer Science), and co-supervised by Prof. Johan Meyers (Mechanical Engineering). The position is based in the Numerical Analysis and Computational Mathematics (NUMA) section in the department of Computer Science at the University of Leuven (KU Leuven). The research is part of the project “Computational methods for infinite-dimensional Bayesian inversion of physics-based models in engineering applications” led by Prof. Giovanni Samaey, Prof. Geert Lombaert, Prof. Dirk Nuyens and Prof. Johan Meyers.
Website unit

Project

Attractors of dissipative ergodic chaotic systems typically lead to a low-dimensional manifold in the full state space of the attractor. Finding a measure on such a manifold is typically achieved by a long-time push-forward operation of a classical Lebesgues measure. This requires a significant amount of computation for chaotic dynamical systems that result from the discretization of PDEs. To date, fast evaluation of measures on such systems remain elusive.

Profile

Candidates have a master degree in one of the following or related fields: applied mathematics, computer science, computational mathematics, engineering or physics. They should have a good background or interest in dynamical systems, stochastic processes, optimization, simulation, and programming (Julia, Python, C/C++, Fortran, C/C++, …). Proficiency in English is a requirement. The position adheres to the European policy of balanced ethnicity, age and gender. Persons of all origins and gender are encouraged to apply.

Offer

Timeline and remuneration: Immediate start is possible. The PhD position lasts for the duration of four years, and is carried out at the University of Leuven. The candidate also takes up a limited amount (approx. 10% of the time) of teaching activities. The remuneration is generous and is in line with the standard KU Leuven rates. It consists of a net monthly salary of about 2400 Euro (in case of dependent children or spouse, the amount can be somewhat higher). Following Belgian law, the salary is automatically adjusted for inflation based on the smoothed health index.
https://people.cs.kuleuven.be/~dirk.nuyens/

Interested?

For more information please contact Prof. dr. ir. Dirk Nuyens by e-mail at dirk.nuyens@kuleuven.be.

KU Leuven strives for an inclusive, respectful and socially safe environment. We embrace diversity among individuals and groups as an asset. Open dialogue and differences in perspective are essential for an ambitious research and educational environment. In our commitment to equal opportunity, we recognize the consequences of historical inequalities. We do not accept any form of discrimination based on, but not limited to, gender identity and expression, sexual orientation, age, ethnic or national background, skin colour, religious and philosophical diversity, neurodivergence, employment disability, health, or socioeconomic status. For questions about accessibility or support offered, we are happy to assist you at this email address.