Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (8): 985-998 .doi: https://doi.org/10.1007/s10483-008-0802-3

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Inflow boundary condition for DNS of turbulent boundary layers on supersonic blunt cones

DONG Ming1,2, ZHOU heng1   

  1. 1. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China;
    2. Tianjin Key Laboratory of Modern Engineering Mechanics, Tianjin 300072, P. R. China
  • Received:2008-06-16 Revised:2008-06-24 Online:2008-08-18 Published:2008-08-18

Abstract: For direct numerical simulation (DNS) of turbulent boundary layers, generation of an appropriate inflow condition needs to be considered. This paper proposes a method, with which the inflow condition for spatial-mode DNS of turbulent boundary layers on supersonic blunt cones with different Mach numbers, Reynolds numbers and wall temperature conditions can be generated. This is based only on a given instant flow field obtained by a temporal-mode DNS of a turbulent boundary layer on a flat plate. Effectiveness of the method is shown in three typical examples by comparing the results with those obtained by other methods.

Key words: turbulent boundary layer, direct numerical simulation, supersonic, blunt cone, inflow condition

2010 MSC Number: 

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