On Extension of Near-Wall Non-overlapping Domain Decomposition to Essentially Unsteady Turbulent Flows

  • Sergey UtyuzhnikovEmail author
  • Mikhail Petrov
  • Alexander Chikitkin
  • Vladimir Titarev
Conference paper
Part of the Smart Innovation, Systems and Technologies book series (SIST, volume 133)


Resolution of a near-wall boundary layer is one of hot topics in turbulence modeling. It often requires most of computational time. A non-overlapping domain decomposition method has turned out to be very efficient to tackle this problem for engineering applications. The method is much more universal than conventional approaches based on wall functions. In our approach, the interface boundary conditions are of Robin type and obtained via transfer of the boundary conditions from the wall to the interface boundary. In the current chapter, the technique is extended to the time-dependent Navier-Stokes equations. As a result, the interface boundary condition remains to be of Robin type but it becomes nonlocal in time since contains a memory term. Unsteady effects are analyzed in the chapter.


Turbulence modeling Near-wall flow Unsteady flow Domain decomposition Memory term Channel flow 



The work was supported by the Russian Science Foundation (Project N 18-19-00098).


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Sergey Utyuzhnikov
    • 1
    • 2
    Email author
  • Mikhail Petrov
    • 2
  • Alexander Chikitkin
    • 2
  • Vladimir Titarev
    • 2
    • 3
  1. 1.University of ManchesterManchesterUK
  2. 2.Moscow Institute of Physics and Technology (MIPT)Dolgoprudny, Moscow RegionRussian Federation
  3. 3.Federal Research Center “Computer Science and Control” of the RASMoscowRussian Federation

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