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Generally about meshes for turbulent RANS flows

  • Turbulent boundary layer contains near wall region (   ) that holds Law of the wall:7.1

    (7.1)
  • Turbulent boundary layer can be displayed in dimensionless coordinates  a 

Figure: A sketch of developed turbulent boundary layer in dimensionless coordinates and

  • Friction velocity can be expressed:

    (7.2)

     

  • Wall shear stress  can be expressed:7.2

    (7.3)

     

  • Turbulence modeling has important parameter
  •  can be expressed:

    (7.4)

     

  • While first cell at the wall corresponds to   , turbulence model (Low-Reynolds model) can be used in whole computational domain
  • If first cell at the wall corresponds to     , it is necessary to model the turbulent quantities using the wall functions
  • Having real geometries and external aerodynamics the requirement on    can be barely reached
  • Wall functions are often used