Compressible isothermal-wall channel flows are studied with direct numerical simulation and large-eddy simulation tools. Computations are carried out using a high-order, low-dissipation, bandwidth-optimized weighted essentially nonoscillatory numerical scheme to describe the hyperbolic terms of the Navier–Stokes equations. Periodic supersonic channel flow direct numerical simulation ( M = 1.5 , R e τ = 221 , T w = 500 K , and T c = 700 K ) is used to validate the procedure and the numerical scheme; a new subgrid term contribution based on pressure drop is proposed for the driving term required in momentum and energy equations for large-eddy simulation. Coherent structures of the flowfield are analyzed with scatter plots, Q criterion, and vorticity fields. As expected, the strong Reynolds analogy is not valid for this nonadiabatic flow. Streaks and horseshoe-like structures are highlighted and detailed. The authors propose a scenario for the formation of horseshoe-like structures. With large-eddy simulation tools, a dynamic procedure to evaluate the turbulent Prandtl number is required because results are found more accurate and computations more stable. Wall temperature T w and pressure p impact are also emphasized on the normalized van Driest velocity u VD + profile in the logarithmic region. The classical log law is recovered: u VD + = ln ( y + ) / κ + C with κ = 0.41 , and a constant C depending on T w and p . An analog law is also recovered for the normalized temperature T + = P r t max ln ( y + ) / κ + C with the maximum of the Prandtl number P r t max . An a priori study on mesh requirements determination for a large range of pressure levels is realized through highly near-wall resolved large-eddy simulation.


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    Title :

    Direct Numerical Simulation and Large-Eddy Simulation of Supersonic Channel Flow


    Contributors:

    Published in:

    Publication date :

    2013-06-11


    Size :

    12 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





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