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Project

Efficient algorithms for finding unstable periodic orbits in turbulent flows

The research focuses on the formulation of efficient and fast methods for the determination of unstable periodic orbits of Navier–Stokes equations in the turbulent regime. To this end, multiple shooting approaches and direct methods in time are considered, as well as different types of multigrid approaches. Algorithms are developed and tested on a number of simpler chaotic partial differential equations, such as the Kuramoto–Sivashinsky equations, before they are applied to the full Navier–Stokes equations. The research is well embedded within the research groups of J. Meyers (with large expertise on turbulent flow simulation and optimization) and S. Vandewalle (with large expertise in multigrid methods, multigrid in time).

Date:2 Sep 2019 →  2 Sep 2023
Keywords:Fluid Mechanics, Efficient algorithms, unstable orbits, Numerical methods
Disciplines:Energy generation, conversion and storage engineering not elsewhere classified, Computer aided engineering, simulation and design, Fluid mechanics
Project type:PhD project