% Source data from http://turbulence.ices.utexas.edu/coleman/ with MD5:
%   40ded1a60f8d65a7282c5afaa8d43e10  coleman3k01.h5
%   65561dbb6918e828afed9cf31a61f600  coleman3k05.h5
%   73ee5929a5fc4b726e6095ffe1ed2589  coleman3k15.h5
%   f9147b944f908af9b4dfc86b000df89a  coleman3k30.h5
%   1581eee7c8e4ff4a227f67cdf8357235  coleman5k01.h5
%   12658b01075e5acd49098f519fb11918  coleman5k05.h5
%   25d4944b8729aa7308f65302279172fe  coleman5k15.h5
%   5113239ac101f2b7c357fc70f8f49721  coleman5k30.h5

% Number of flow throughs for KMM87 computed as follows:
%    t u_\tau / \delta \approx 10 (page 140 second to last paragraph)
%    \delta = 1
%    U_m / u_\tau = 15.63 (Table 1)
%    U_m = 1
%    L_x = 4*pi*\delta
% combining shows 12.43 flow throughs

\begin{table}
\makecommand{\z}{\phantom{0}}  % Facilitates column alignment
\makecommand{\Z}{\phantom{.0}} % Ditto
\centering
\caption[Isothermal channel simulations]{%
    Isothermal channel simulations performed with Suzerain
    v0.1.6.34-r45407.  For all cases, $\overline{\rho} = 1$,
    $\overline{\rho{} u} = 1$, $T_w = 1$, $\textrm{Pr} = \mu C_p
    / \kappa = 0.7$, $\alpha=0$ for $\mu_B=\alpha\mu$, $\mu /
    \mu_0={\left(T / T_0\right)}^\beta$, and $\gamma = C_p / C_v =
    1.4$.  Extents were $L_x=4\pi$, $L_y=2$, $L_z=4\pi/3$ employing
    $N_x=192$ and $N_z=168$ Fourier modes and a piecewise-septic
    B-spline basis with $N_y$ collocation points stretched per
    the hyperbolic tangent parameter ``$\tanh$'' following~\eqref{eq:htstretch2}.  By definition,
    $\textrm{Re} = \overline{\rho{}u}\left(L_y / 2\right) / \mu_w$,
    $\textrm{Ma} = \bar{u} / a_w$.  Simulations by
    \citet*{Kim1987Turbulence} and \citet*{Coleman1995Numerical} are
    shown for comparison.\label{tbl:table_channel}
}
{\renewcommand{\tabcolsep}{0.435em}
\begin{tabular}{cccccccccccr}
Case                                     & % Simulation input parameters
$\textrm{Re}$                            &
$\textrm{Ma}$                            &
$\beta$                                  &
$N_y$                                    &
$\tanh$                                  &
$\textrm{Re}_\tau$                       & % Details from post-processing
$\Delta{}x^{+}$                          &
$y_{1}^{+}$                              &
$y_{10}^{+}$                             &
$\Delta{}z^{+}$                          &
\shortstack[c]{Flow\\throughs}
\\
\toprule\toprule
%id       &  Re    &  Ma    &  beta  &  Ny     &  tanh  &  Re &  x+    &  y+1   & y+10  &  z+   &   Flowthroughs       \\
c03k01    &  3000  &  0.1   &  \nicefrac{2}{3} &  128  &  2.25  & 191 &  12.5  &  0.22  & 11.9  & \z5.0 &   15.6       \\
c03k05    &  3000  &  0.5   &  \nicefrac{2}{3} &  128  &  2.25  & 194 &  12.7  &  0.22  & 12.1  & \z5.1 &   15.7       \\
\rowcolor{yellow}
c03k15    &  3000  &  1.5   &  \nicefrac{2}{3} &  128  &  2.25  & 222 &  14.6  &  0.26  & 13.8  & \z5.8 &   11.9       \\
c03k30    &  3000  &  3.0   &  \nicefrac{2}{3} &  128  &  2.25  & 297 &  19.4  &  0.34  & 18.5  & \z7.8 &   15.5       \\
\midrule
c05k01    &  5000  &  0.1   &  \nicefrac{2}{3} &  144  &  2.50  & 298 &  19.5  &  0.26  & 14.2  & \z7.8 &   11.1       \\
c05k05    &  5000  &  0.5   &  \nicefrac{2}{3} &  144  &  2.50  & 303 &  19.8  &  0.26  & 14.4  & \z7.9 &   11.6       \\
c05k15    &  5000  &  1.5   &  \nicefrac{2}{3} &  144  &  2.50  & 349 &  22.8  &  0.31  & 16.6  & \z9.1 &   13.2       \\
c05k30    &  5000  &  3.0   &  \nicefrac{2}{3} &  144  &  2.50  & 480 &  31.4  &  0.42  & 22.8  & 12.6  &   12.9       \\
\midrule
KMM87     &  2800  &  0\Z   &  0\Z             &  129  &        & 180 &  12\Z  &  0.05  & \z5.4 & \z7\Z &   12.4       \\
\rowcolor{yellow}
CKM95a    &  3000  &  1.5   &  0.7             &  119  &        & 222 &  17\Z  &  0.1\z & \z8\Z & 10\Z  &  $\geq 11.9$ \\
CKM95b    &  4880  &  3.0   &  0.7             &  119  &        & 451 &  39\Z  &  0.2\z & 17\Z  & 24\Z  &  $\geq 11.9$
\end{tabular}}
%
\\\vspace*{1.75em}
%
\begin{tabular}{cccccccccc}
Case                            &
$\textrm{Ma}_c$                 &
$\textrm{Ma}_\tau$              &
$\textrm{Re}_c$                 &
$y^\ast_c$                      &
$-\textrm{B}_q$                 &
${\rho}_w$                      &
${\rho}_c$                      &
${T}_c$                         &
${\mu}_c$
\\
\toprule\toprule
%id     &  Mac     &  Matau   &  Rec   &  {y*c} &  -Bq     &  rhow    &  rhoc    &  Tc      &  muc     \\
c03k01  &  0.116   &  0.006   &  3481  &  190   &  0.0003  &  1.002   &  0.9999  &  1.002   &  1.001   \\
c03k05  &  0.570   &  0.031   &  3387  &  185   &  0.0062  &  1.040   &  0.9973  &  1.043   &  1.028   \\
\rowcolor{yellow}
c03k15  &  1.497   &  0.081   &  2772  &  151   &  0.0496  &  1.365   &  0.9780  &  1.391   &  1.246   \\
c03k30  &  2.240   &  0.119   &  1765  &  \z94  &  0.1486  &  2.494   &  0.9278  &  2.666   &  1.923   \\
\midrule
c05k01  &  0.115   &  0.006   &  5752  &  297   &  0.0002  &  1.002   &  0.9999  &  1.002   &  1.001   \\
c05k05  &  0.566   &  0.029   &  5606  &  288   &  0.0058  &  1.041   &  0.9979  &  1.042   &  1.028   \\
c05k15  &  1.477   &  0.077   &  4585  &  238   &  0.0464  &  1.366   &  0.9835  &  1.385   &  1.242   \\
c05k30  &  2.202   &  0.116   &  2974  &  157   &  0.1436  &  2.486   &  0.9500  &  2.598   &  1.890   \\
\midrule
KMM87   &  0\Z\z\z &  0\Z\z\z &  3300  &  180   &  0\Z\z\z &  1\Z\z\z &  1\Z\z\z &  1\Z\z\z &  1\Z\z\z \\
\rowcolor{yellow}
CKM95a  &  1.502   &  0.082   &  2760  &  151   &  0.049   &  1.355   &  0.980   &  1.378   &  1.252   \\
CKM95b  &  2.225   &  0.116   &  2872  &  150   &  0.137   &  2.388   &  0.952   &  2.490   &  1.894
\end{tabular}
\end{table}
