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Belgium: Postdoc Position, Hybrid PDE/Monte-Carlo Methods


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NUMA is a research division within the Department of Computer Science of KU Leuven, with 15 permanent staff members and approximately 40 PhD and postdoctoral researchers. NUMA (Numerical Analysis and Applied Mathematics) develops numerical algorithms and software for large-scale problems in science and engineering. Its research ranges from algorithm design and analysis to software implementation and applications in other scientific and engineering domains.

This position fits within an ongoing EuroFusion project on Theory, Simulation, Verification and Validation (TSVV) of the neutral gas module for plasma edge simulations. This project aims at developing and implementing numerical methods that correct the approximate macroscopic models in the high-collisional limit by a Monte Carlo simulation of a limited number of kinetic particles. In particular, we will develop multilevel asymptotic-preserving Monte Carlo particle methods that gradually transition from fully kinetic to fully fluid when adjusting the time step. The main algorithmic challenges in this context are the development of appropriate source term estimation procedures and boundary conditions for particles near the divertor. The research will be carried out in an international team of numerical analysts at NUMA, and fits within a long-standing and fruitful collaboration with the fusion energy team at the Department of Mechanical Engineering, led by professor Martine Baelmans.

Profile: Candidates must hold a PhD in Mathematical Engineering or High Performance Computing (or equivalent). Candidates should have a solid background in programming of scientific software and/or high-performance computing. Candidates should have experience in computational mathematics (e.g., numerical methods for differential equations, simulation of stochastic processes and/or optimization). Specific experience in simulation of Boltzmann-type kinetic equations and/or fusion energy simulation is a strong asset. Excellent proficiency in English is required, as well as good communication skills, both oral and written.

Offer: The position can start on January 1, 2024. Funding is secured for two years, and an extension for two more years is likely. A high-level and exciting international research environment. A supportive and collaborative team in which you can develop know-how and expertise in state-of-the-art simulation methods. The opportunity to build up research and innovation skills that are essential for a future career in research and development, both in an industrial and academic context. The opportunity to gradually build up a leading role within the team, including joint supervision of master and PhD researchers with the PI. A competitive salary.

Submit your application via https://www.kuleuven.be/personeel/jobsite/jobs/60237402, including a letter of motivation with a statement of skills and research interests, a curriculum vitae, university diploma copies and transcripts, and names and contact information of 1-2 references.

Applications will be considered as soon as they are received, and the opening will be closed as soon as a suitable candidate is hired. The formal application deadline is September 30, 2023.

For more information please contact Prof. dr. ir. Giovanni Samaey, tel.: +32 16 32 7558, mail: Giovanni.Samaey@kuleuven.be

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