Computational investigation of the influence of unsteady shock motion on aberrating structures in supersonic boundary layers

A computational investigation of aero-optical effects for a shock-boundary layer interaction (SBLI) has been performed in the case of Mach 2 flow into a 20 degree compression ramp. Although over a grid of over 282 million points was used for the initial flow, it was determined that grids which might be acceptable for many SBLI problems was not good enough for the problem of aero-optics. It was found that a combination of grid stretching and misalignment of the shock and grid lead to non-physical density aberrations between the shock and the ramp. The grid system was improved with a new grid that was closer to shock aligned in the far-field and had much more resolution between the shock and the ramp. Preliminary optical results are presented and discussed.

[1]  Alexander J. Smits,et al.  Turbulent Shear Layers in Supersonic Flow , 1996 .

[2]  E. Jumper,et al.  Recent advances in aero-optics , 2001 .

[3]  Christopher Wyckham,et al.  Aero-Optic Distortion in Transonic and Hypersonic Turbulent Boundary Layers , 2009 .

[4]  J. Eaton,et al.  Reynolds-number scaling of the flat-plate turbulent boundary layer , 2000, Journal of Fluid Mechanics.

[5]  T. Pulliam,et al.  A diagonal form of an implicit approximate-factorization algorithm , 1981 .

[6]  L. Andrews,et al.  Laser Beam Propagation Through Random Media , 1998 .

[7]  Statistical characteristics of the tilts of the aero-optical aberration caused by the supersonic turbulent boundary layer. , 2013, Optics letters.

[8]  Gary S. Settles,et al.  Detailed Study of Attached and Separated Compression Corner Flowfields in High Reynolds Number Supersonic Flow , 1979 .

[9]  Miguel R. Visbal,et al.  High-Order Schemes for Navier-Stokes Equations: Algorithm and Implementation Into FDL3DI , 1998 .

[10]  Krishnan Mahesh,et al.  DNS of Unsteady Shock Boundary Layer Interaction , 2011 .

[11]  P. Sagaut,et al.  Analysis of the Sutton Model for Aero-Optical Properties of Compressible Boundary Layers , 2006 .

[12]  Miguel R. Visbal,et al.  High-Order-Accurate Methods for Complex Unsteady Subsonic Flows , 1999 .

[13]  E. Jumper,et al.  Aero-Optical Effects of Supersonic Boundary Layers , 2012 .

[14]  S. Gordeyev,et al.  Physics and Computation of Aero-Optics , 2012 .

[15]  Nikolaus A. Adams,et al.  Direct simulation of the turbulent boundary layer along a compression ramp at M = 3 and Reθ = 1685 , 2000, Journal of Fluid Mechanics.

[16]  Flint O. Thomas,et al.  On the mechanism of unsteady shock oscillation in shock wave/turbulent boundary layer interactions , 1994 .

[17]  Nicholas J. Bisek,et al.  Plasma Control of a Turbulent Shock Boundary-Layer Interaction , 2013 .

[18]  H. A. Stine,et al.  Light Diffusion Through High-speed Turbulent Boundary Layers , 1956 .

[19]  Miguel R. Visbal,et al.  Large-Eddy Simulation on Curvilinear Grids Using Compact Differencing and Filtering Schemes , 2002 .

[20]  Philip E. Morgan,et al.  High Fidelity Aero-Optical Analysis , 2010 .

[21]  M. Visbal.  VERY HIGH-ORDER SPATIALLY IMPLICIT SCHEMES FOR COMPUTATIONAL ACOUSTICS ON CURVILINEAR MESHES , 2001 .

[22]  Philip E. Morgan,et al.  An Implicit LES Approach Based on High-order Compact Differencing and Filtering Schemes (Invited) , 2003 .

[23]  R. F. Warming,et al.  An Implicit Factored Scheme for the Compressible Navier-Stokes Equations , 1977 .

[24]  Miguel R. Visbal,et al.  Large-eddy simulation of supersonic compression-ramp flows , 2001 .

[25]  Yiannis Andreopoulos,et al.  Shock Wave—Turbulence Interactions , 2000 .

[26]  Noel T. Clemens,et al.  Effects of upstream boundary layer on the unsteadiness of shock-induced separation , 2006, Journal of Fluid Mechanics.

[27]  G. Sutton.  Aero-optical foundations and applications , 1984 .

[28]  J. Strohbehn.  Laser beam propagation in the atmosphere , 1978 .

[29]  M. Visbal,et al.  Simulation of Aero-Optical Interactions in Transonic Boundary Layers , 2011 .

[30]  S. Lele.  Compact finite difference schemes with spectral-like resolution , 1992 .

[31]  Michael D. White,et al.  High-order parabolic beam approximation for aero-optics , 2010, J. Comput. Phys..

[32]  E. Jumper,et al.  Aero-Optical Mitigation of Shocks Around Turrets at Transonic Speeds Using Passive Flow Control , 2013 .

[33]  M. Visbal,et al.  Aero-optics of Compressible Boundary Layers in the Transonic Regime , 2012 .

[34]  Minwei Wu,et al.  Direct numerical simulation of supersonic turbulent boundary layer over a compression ramp , 2007 .

[35]  David S. Dolling,et al.  Fifty Years of Shock-Wave/Boundary-Layer Interaction Research: What Next? , 2001 .

[36]  G. W. Sutton,et al.  On optical imaging through aircraft turbulent boundary layers , 1980 .