NUMERICAL METHODS FOR PDE, COMPUTATIONAL FLUID DYNAMICS

Entry requirements:

•  Master’s degree / equivalent in a related field
•  B2 level of English
•  Good track record of publications related to the topic of the intended research
•  Strong research proposal 1,500 - 3,500 words

Research supervisor:
Aleksandr Chikitkin
PhD

Supervisor’s research interests:

•  Numerical simulation of high-speed flows around complex-shaped bodies.
•  High-order numerical methods.
•  Parallel high-performance computing.
•  Finite-volume methods.
•  Numerical methods for kinetic equations.
•  Machine learning methods for CFD.

Research highlights:

•  Work in collaboration with leading researchers from University of Manchester, University of Trento.
•  Access to supercomputer (>1000 cores).
•  Publications in high quality journals.

Supervisor’s specific requirements:

•  Master of Science degree in a relevant field.
•  Strong background in basic numerical methods.
•  Good programming skills (One of Fortran/ C++ / Python).
•  Fluent English.

Some background in aerodynamics, finite-volume methods, CFD simulations is an advantage.
Main publications:

•  Chikitkin, A., Utyuzhnikov, S., Petrov, M., & Titarev, V.. (2020). Non-overlapping Domain Decomposition for Modeling Essentially Unsteady Near-wall Turbulent Flows. Computers & Fluids, 104506.
•  Chikitkin, A.V., Kornev, E.K., & Titarev, V.A. (2019). Numerical solution of the Boltzmann equation with S-model collision integral using tensor decompositions. arXiv preprint arXiv:1912.04582.
•  Chikitkin, A.V., & Rogov, B.V. (2019). Family of central bicompact schemes with spectral resolution property for hyperbolic equations. Applied Numerical Mathematics, 142, 151-170.
•  Titarev, V.A., Utyuzhnikov, S.V., & Chikitkin, A.V. (2016). OpenMP+ MPI parallel implementation of a numerical method for solving a kinetic equation. Computational Mathematics and Mathematical Physics, 56(11), 1919-1928.