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