Dataset for "A framework for assessing the Reynolds analogy in turbulent forced convection over rough walls"

For all the cases, a unit Prandtl number is used. Therefore, the friction Peclet number is equal to the friction Reynolds number, Pe_tau=Re_tau. Furthermore, the flow is always considered incompressible.

In the following, Ui indicates the i-velocity component; C indicates the scalar field; P indicates the pressure; K=UiUi/2 is the kinetic energy; G=C^2/2 is the squared scalar field; ,i denotes differentiation in the i-direction; Oi indicates the i-vorticity component; Sij indicates the (i,j)-component of the strain-rate tensor; < . >t indicates a time-averaged quantity; < . >ts indicates a space- and time-averaged quantity; a prime superscript, (.)', indicates temporal fluctuations; a double prime superscript, (.)'', indicates dispersive fluctuations of the time-averaged field induced by the roughness.

Note that the coordinate directions are: Streamwise, x, i=1; Spanwise, y, i=2; Wall-normal, z, i=3. The dataset files contain: 1) kXXreXXX.dat z <C>ts <C,i>ts<C,i>ts/Pe_tau <C,i'C,i'>/Pe_tau <Oi>ts<Oi>ts/Re_tau <Oi'Oi'>/Re_tau 2<Sij>ts<Sij>ts/Re_tau 2<Sij'Sij'>ts/Re_tau <(Ui P),i>ts <(Ui K),i>ts <P,ii>ts/Re_tau <K,ii>ts/Re_tau <Ux>ts <(Ui G),i>ts <G,ii>ts/Pe_tau 2) BULK_kXXreXXX.dat <Oi>t<Oi>t <Oi'Oi'>t <Oi>t''<Oi>t'' <Oi>ts<Oi>ts <Oi>t<Oi>ts <Oi>ts<Oi>t'' <C,i>t<C,i>t <C,i'C,i'>t <C,i>t''<C,i>t'' <C,i>ts<C,i>ts <C,i>t<C,i>ts <C,i>ts<C,i>t'' AER[<Oi>t<Oi>t] AER[<Oi'Oi'>t] AER[<Oi>t''<Oi>t''] AER[<Oi>ts<Oi>ts] AER<Oi>t<Oi>ts AER[<Oi>ts<Oi>t'' AER[<C,i>t<C,i>t] AER[<C,i'C,i'>t] AER[<C,i>t''<C,i>t''] AER[<C,i>ts<C,i>ts] AER[<C,i>t<C,i>ts] AER[<C,i>ts<C,i>t''] WMR[<Oi>t<Oi>t] WMR[<Oi'Oi'>t] WMR[<Oi>t''<Oi>t''] WMR[<Oi>ts<Oi>ts ] WMR[<Oi>t<Oi>ts] WMR[<Oi>ts<Oi>t''] WMR[<C,i>t<C,i>t] WMR[<C,i'C,i'>t] WMR[<C,i>t''<C,i>t''] WMR[<C,i>ts<C,i>ts] WMR[<C,i>t<C,i>ts] WMR[<C,i>ts<C,i>t'']

Note

AER[ ] and WMR[ ] indicate conditional integration over "attached, exposed" and "well-mixed" region. Further information is provided in the header of each file. 3) sfA_y120_kXXreXXX.vtk VTK NAME: corresponding quantity p: <P>t s00: <C>t s01: <ux>t'' s02: <uy>t'' s03: <uz>t'' s04: <P>t'' s05: <C>t'' s06: <Ox>t''<Ox>t'' s07: <Oy>t''<Oy>t'' s08: <Oz>t''<Oz>t'' s09: <C,x>t''<C,x>t'' s10: <C,y>t''<C,y>t'' s11: <C,z>t''<C,z>t'' s12: <Ox>t'' s13: <Oy>t'' s14: <Oz>t'' s15: <C,x>t'' s16: <C,y>t'' s17: <C,z>t'' s18: <Oy>t s19: <Oy>ts s20: <C,z>t s21: <C,z>ts s22: <Ux>ts s23: <C>ts vx: <Ux>t vy: <Uy>t vz: <Uz>t zwb: wall-height of the bottom rough wall as a function of x.