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In this document we describe a *Re*_{h} ≈ 3600, *Re*_{τ} ≈ 200 turbulent channel flow database. This **database** has been investigated in _{[1]}.

A turbulent channel flows database has been generated by the incompressible DNS solver described in _{[2]}. The code follows the paradigm introduced in _{[3]}: it solves for the wall-normal components of velocity *v* and vorticity *η*.
This quantities are Fourier transformed (de-aliased using the *3/2* rule) along the homogeneous directions, and discretized using explicit compact ﬁnite-differences along the wall normal direction. Both the streamwise *u* and spanwise *w* velocity components are retrieved using the continuity equation with the relation
*η* = *∂w *
*∂x* −
*∂u *
*∂z* .
Time integration is accomplished by an explicit third order, low-storageRunge–Kuttamethod, combined with animplicit second-order Crank–Nicolson scheme.

The channel walls are planar and the simulations have been conducted under the assumption of constant mass ﬂux.

The spatial resolution for the standard channel ﬂow mesh is ∆x^{+} = 6.54 and ∆z^{+} = 3.27 along the homogeneous directions and ∆y^{+} ∈ (0.95,5.18).

The time-stepenforced in the simulation is in both cases ∆t = 0.015625, which corresponds to ∆t^{+} ≈0.1.

The time-stepenforced in the simulation is in both cases ∆t = 0.015625, which corresponds to ∆t

Table 1 summarizes the characteristics of the database.

Table 1: Auxiliary database description.

The database consists of the following ﬁles:

- xyz.dat: This ﬁle contains the locations
*(x,y,z)*of the nodes. - SnapAvgXZN.dat: Each of these ﬁles is a snapshot of the u
^{~}*(tk)*ﬂow velocities. - dUdyN.dat: Each of these ﬁles contains the d ¯ U dy (tk) proﬁle.
- mean.dat: This ﬁle contains the average y proﬁles.

The associated matlab script **loadDB.m** illustrates how to load the database in memory.

[2] P.Luchini and M.Quadrio. A low -cost parallel implementation of direct numerical simulation of wall turbulence. J. Comput. Phys., 211(2):551–571, January 2006.

[3] J. Kim, P. Moin, and R. Moser. Turbulence statistics in fully developed channel ﬂow at low Reynolds number. J. Fluid Mech., 177:133–166, 1987.

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