========================================================================================================= DNS database of isothermal flat-plate turbulent boundary layers and shock-wave interaction with inlet Re_theta \approx 5000, inlet Mach number = 2.28, and shock-wave impingement angle = 32.7. Originally uploaded on January 14, 2025 Copyright (c) Ryo Hirai and Soshi Kawai. All Rights Reserved. Contact: kawai@tohoku.ac.jp ========================================================================================================= Original paper: Ryo Hirai & Soshi Kawai, "Wall pressure fluctuations in wall heated and cooled shock wave and turbulent boundary layer interactions" International Journal of Heat and Fluid Flow, 103, 109205 (2023) https://doi.org/10.1016/j.ijheatfluidflow.2023.109205 Note: <>: Reynolds averaged quantities {}: Favre-averaged quantities _inf: Inlet freestream value Case: Ratio between wall temperature Tw and recovery temperature Tr (AD, Tw/Tr = 1.0; HE, Tw/Tr = 2.0; CO, Tw/Tr = 0.5) delta0: The reference length (=1.0), which approximately equals to the inlet 99% boundary layer thickness ========================================================================================================= This database includes # 2D statistics data (C binary, little-endian, single precision) Note: Contours of the Reynolds averaged Reynolds stresses are similar to the Favre averaged ones - grid_2d_{Case}.xyz (normalized by delta0) (imax, jmax) = 2700 x 317 (Case=AD, HE) or 5400 x 569 (Case=CO) read(iu) imax,jmax read(iu) ((x(i,j),i=1,imax),j=1,jmax) read(iu) ((y(i,j),i=1,imax),j=1,jmax) - statistics_2d_{Case}.fun (imax, jmax) = 2700 x 317 (Case=AD, HE) or 5400 x 569 (Case=CO) (nvar) = 11 read(iu) imax,jmax,nvar read(iu) (((data(i,j,n),i=1,imax),j=1,jmax),n=1,nvar) Variables data(i,j,1) : /rho_inf (Mean density) data(i,j,2) : /u_inf (Mean streamwise velocity) data(i,j,3) : /u_inf (Mean wall-normal velocity) data(i,j,4) :

/p_inf (Mean pressure) data(i,j,5) : /T_inf (Mean temperature) data(i,j,6) : /u_inf^2 (Reynolds normal stress in the streamwise direction) data(i,j,7) : /u_inf^2 (Reynolds normal stress in the wall-normal direction) data(i,j,8) : /u_inf^2 (Reynolds normal stress in the spanwise direction) data(i,j,9) : /u_inf^2 (Reynolds shear stress) data(i,j,10): /p_inf^2 (Pressure fluctuation) data(i,j,11): /T_inf^2 (Temperature fluctuation) # wallnormal_profile_{Case}.txt x (Reference station in the streamwise direction) delta99 (99% boundary layer thickness) theta (Momentum thickness) Re_delta99 (Re based on the 99% boundary layer thickness and freestream velocity) Re_theta (Re based on the momentum thickness and freestream velocity) Re_tau (Re based on the 99% boundary layer thickness and friction velocity) y/delta0 (wall-normal coordinate normalized by the reference length) y^+ (wall-normal coordinate nondimensionalized by wall quantities) y^* (wall-normal coordinate with the semi-local scaling) /rho_inf (Mean density) /u_inf (Mean streamwise velocity) ^+ (Mean streamwise velocity nondimensionalized by the friction velocity) ^+_vd (The van Driest transformed mean velocity) ^* (The transformed mean velocity proposed by Patel et al. [1] and Trettel and Larsson [2]) /u_inf (Mean wall-normal velocity)

/p_inf (Mean pressure) /T_inf (Mean temperature) *{u''u''}/tau_wall (Reynolds normal stress in the streamwise direction) *{v''v''}/tau_wall (Reynolds normal stress in the wall-normal direction) *{w''w''}/tau_wall (Reynolds normal stress in the spanwise direction) -*{u''v''}/tau_wall (Reynolds shear stress) /p_inf^2 (Pressure fluctuation) /T_inf^2 (Temperature fluctuation) [1]: A. Patel, B. J. Boersma, and R. Pecnik, The influence of near-wall density and viscosity gradients on turbulence in channel flows, J. Fluid Mech. 809, 793–820 (2016) [2]: A. Trettel and J. Larsson, Mean velocity scaling for compressible wall turbulence with heat transfer, Phys. Fluids 28, 026102 (2016) # wallsurface_profile_{Case}.txt xsh (Shock-wave impingement point at the lower wall) Lint (The interaction length defined as streamwise distances between the separation and shock-wave impingement points) x/delta0 (Streamwise coordinate normalized by the reference length) Cf (Friction coefficient) q_wall/(rho_inf*u_inf*Cp*T_inf) (Wall heat flux) /rho_inf (Mean wall density)

/p_inf (Mean wall pressure) /T_inf (Mean wall temperature) /rho_inf^2 (Wall density fluctuation) /p_inf^2 (Wall pressure fluctuation) # wallpressure_PPSD_{Case}.bin (C binary, little-endian, single precision) (imax, jmax) = 441 x 19201 (Case=AD, HE) or 881 x 6301 (Case=CO) (nvar) = 3 read(iu) imax,jmax,nvar read(iu) (((data(i,j,n),i=1,imax),j=1,jmax),n=1,nvar) Variables data(i,j,1): (x-xsh)/Lint (Streamwise location from the shock-wave impingement point, normalized by the interaction length) data(i,j,2): St_L = f*Lint/u_inf (The Strouhal number based on the interaction length) data(i,j,3): Premultiplied power spectral density of wall-pressure, normalized by the integral of themselves over the entire frequency ranges for each streamwise location =========================================================================================================