Abstract
The questions related to the formulation and numerical realization of boundary conditions on a wall at the computation of turbulent flows on unstructured grids are considered. A technique is proposed for realization of weak boundary conditions assuming a non-zero value of the tangent velocity on the wall at a discretization of the Reynolds-averaged Navier — Stokes equations by the control volume method. The capabilities of the developed approach are demonstrated by the example of computing the flow in the inter-blade channel of a low-velocity compressor. The influence of the near-wall grid step on the accuracy of computations, in particular, the pressure distribution near the profile trailing edge is shown, and the solution grid dependence is investigated when using the method of near-wall functions and weak boundary conditions.
Similar content being viewed by others
References
K.N. Volkov, Application of the control volume method for solving the problems of the fluid and gas mechanics on unstructured grids, Numerical Methods and Programming, 2005, Vol. 6, No. 1, P. 43–60.
P.R. Spalart and S.R. Allmaras, A one equation turbulence model for aerodynamic flows, AIAA Paper, 1992, No. 92-0439.
B.E. Launder and D.B. Spalding, The numerical computation of turbulent flows, Computer Methods in Appl. Mech. and Engng., 1974, Vol. 3, P. 269–289.
J. Bredberg, On the wall boundary condition for turbulence model, Chalmers University of Technology, Department of Thermo and Fluid Dynamics. Internal Report 00/4, Göteborg, Sweden, 2000.
K.N. Volkov, Comparison of low Reynolds-number turbulence models with data of direct numerical simulation of channel flow, Thermophysics and Aeromechanics, 2005, Vol. 12, No. 3, P. 339–352.
M. Wolfshtein, The velocity and temperature distribution of one-dimensional flow with turbulence augmentation and pressure gradient, Int. J. Heat and Mass Transfer, 1969, Vol. 12, No. 3, P. 301–318.
S.S. Collis, Discontinuous Galerkin methods for turbulence simulation, Stanford University, Center for Turbulence Research. Tech. Rept., Stanford, USA, 2002.
T. Jongen and Y.P. Marx, Design of an unconditionally stable, positive scheme for the k-ɛ and two-layer turbulence models, Computers and Fluids, 1997, Vol. 26, No. 5, P. 469–485.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Volkov, K.N. Near-wall modelling in computations of turbulent flows on unstructured grids. Thermophys. Aeromech. 14, 107–123 (2007). https://doi.org/10.1134/S0869864307010131
Received:
Issue Date:
DOI: https://doi.org/10.1134/S0869864307010131