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Theoretical Fluid Mechanics

• Home
• Research topics
  • Turbulent drag reduction
  • Streaks in turbulence
  • Linearsied NSE and turbulence
  • Effect of large-scale motions on near-wall turbulence
  • Sum of squares
  • High-Reynolds-number asymptotics of steady separated flows
  • Flows with trapped vortices
  • Aerostatic platforms
  • Centrifuges
• Flow Illustrator
• Miscellaneous
• Want a PhD? Read this

Research topics

Near-wall turbulence

• Turbulent drag reduction
• Organised structures in turbulence
  • Formation of streaks
  • Using linearsied Navier-Stokes equations in developed turbulence
• Effect of large-scale motions on near-wall turbulence

Polynomial Sum-Of-Squares (SOS) approach in fluid dynamics

• Brief summary
• A dedicated website

Easy-to-use Navier-Stokes solvers

Internal site:
• Images as the input format for a Navier-Stokes solver
External site:
• Flow Illustrator

Selected topics of past research

• High-Reynolds-number asymptotics of steady separated flows
• Flows with trapped vortices
• Nonlinear stability of aerostatic platforms
• Centrifuges with hydraulic drive

More

• More mathematical
  • The problem of turbulence
  • Existence and uniqueness of the solutions of the Navier-Stokes equations
  • Complex-valued solutions of the Navier-Stokes equations
  • Flow control
  • Tikhonov regularisation in discrete vortex methods
  • Dust-laden gas flow
  • Master-modes
  • Computer expanded series
  • Three-dimensional separation
• More applied
  • Rotating stall in axial compressors
  • Turbulent supersonic separated flows with heat and mass injection in the separation region

Timeline:

• Gave a talk on Studying fluid flows with auxiliary functions and LMIs at the IFAC World Congress, held in Yokohama, Japan on 8-14th July 2023.
• Gave a talk on Bounding time averages: a road to solving the problem of turbulence at Institut de Mathématiques de Bordeaux, Bordeaux, May 4, 2023.
• Gave a talk on QSQH theory of scale interaction in near-wall turbulence: the essence, evolution, and the current state at Institut Pprime, Bordeaux on May 3, 2023.
• ... too busy ... will try to fill in later ...
• In January-April 2022 was a long-term participant of the Isaac Newton Institute Programme "Mathematical aspects of turbulence: where do we stand?". Gave two talks: Bounding time averages and How quasi-steady is the modulation of near-wall turbulence by large-scale structures? (with Yunjiu Yang).
• Gave a talk Auxiliary functionals: a path to solving the problem of turbulence at The Seminar in the Analysis and Methods of PDE (SIAM PDE) on March 4, 2021. Links to the abstract and the video.
• Gave a talk on Extension of QSQH theory to all velocity components, abstract and video, at IPAM, Wednesday, January 13, 2021, as part of the workshop on Transport and Mixing in Complex and Turbulent Flows. Great talks, all recorded, highly recommended.
• Gave a talk Accelerating time averaging at 73rd Annual Meeting of the APS Division of Fluid Dynamics, November 22, 2020: abstract and video.
• 2020: the virus ... living online ... most of the year working on additional administration and teaching related to the pandemic ...
• Gave a talk at SIAM Conference on Applications of Dynamical Systems (DS19), , Snowbird, Utah, U.S, May 19 - 23, 2019.
• Gave a keynote lecture at the workshop Scientific Computing Across Scales: Extreme Events and Criticality in Fluid Mechanics, The Fields Institute, Toronto, April 15-18, 2019.
• Gave a talk at European Drag Reduction and Flow Control Meeting 26-29 March 2019, Haus der Kirche, Bad Herrenalb, Germany.
• Gave a seminar talk on Accelerating time averaging using auxiliary functions at the Aerodynamics and Flight Mechanics group seminar, University of Southampton, on 6 February 2019
• Visited the Peking University State Key Laboratory for Turbulence and Complex System in September 13-30, 2018.
• Attended EeroMech Colloquim 598 Coherent structures in wall-bounded turbulence: new directions in a classic problem, London, August 29-31, 2018, with a talk Large-scale motions for the QSQH theory (with Chi Zhang).
• Gave a talk on Questions concerning quasi-steady mechanism of the Reynolds number, pressure gradient, and geometry effect on drag reduction at the Workshop on Active Drag Reduction, Aachen, Germany, 15-16 March 2018.
• Gave a lecture course The problem of turbulence: bounding solutions to equations of fluid mechanics & other dynamical systems, with Giovanni Fantuzzi providing exercise sessions, at The 6th Bremen Winter School Dynamical systems and turbulence, March 12-16, 2018.

 

Sergei Chernyshenko