Compressible turbulence porous-fluid coupling solver for noise reduction study of porous material coating

Flow through and over porous media is a common phenomenon in both nature and industrial applications. By applying porous materials in aeronautic and aeroacoustic applications, a porous-fluid coupling solver under compressible turbulence circumstances is of significance for CFD researchers. In this paper, a porous-fluid coupling method for compressible turbulence problem based on k-ω model is proposed and implemented in the finite-volume-based in-house code AAISIM. At the porous-fluid interface, the equations of conservation of mass, energy, turbulent kinetic energy, specific dissipation rate and isentropic condition are solved to balance the flux through the interface. The stress jump condition and turbulence wall function are also employed for the treatment of the permeable wall. For the Beavers and Joseph’s problem, the current results agree well with DNS results for Reynolds number of 5500, which justifies the validity of this coupling method. Flow over flat porous plate and flat plate with porous trailing edge cases are simulated with different porous material. The flow field is collected and validated with the measured result. Far-field acoustic data of flat plate with porous trailing edge is collected through FWH method for permeable wall to show the effect of noise reduction by the porous material.
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