appendix - updated figure for turbgen example

\section{Example}

\Cref{fig:turbgen} shows an example of the synthetic fluctuating velocity field $v'_x$ computed on a unit square discretized by $128 \times 256$ points.

The parameters used in the generator are: grid spacing $\delta_x = 1/\SI{255}{\metre}$, integral length scale $\mathcal L_{\mathrm{int}} = \SI{0.01}{\metre}$, number of discrete modes $N_{\mathrm{modes}} = 3000$, turbulent kinetic energy $k = \SI{e-2}{\metre\squared\per\second\squared}$, and kinematic viscosity $\nu = \SI{1.5e-5}{\metre\squared\per\second}$.

\Cref{fig:turbgen} shows an example of the synthetic fluctuating velocity field $v'_x$~[\si{\metre\per\second}] computed on a unit square discretized by $500 \times 500$ points.

The parameters used in the generator are: grid spacing $\delta_x = 1/\SI{499}{\metre}$, integral length scale $\mathcal L_{\mathrm{int}} = \SI{0.01}{\metre}$, number of discrete modes $N_{\mathrm{modes}} = 3000$, turbulent kinetic energy $k = \SI{e-2}{\metre\squared\per\second\squared}$, and kinematic viscosity $\nu = \SI{1.5e-5}{\metre\squared\per\second}$.

\begin{figure}[h]

    \centering

    \includegraphics[width=\textwidth]{figures/turbgen/turbgen_vx_2.png}

    \caption{First component of synthetic fluctuating velocity field ($v'_x$) generated on a unit square discretized by $128 \times 256$ points.}

    \includegraphics[width=\textwidth]{figures/turbgen/turbgen_vx.png}

    \caption{First component of synthetic fluctuating velocity field ($v'_x$~[\si{\metre\per\second}]) generated on a unit square discretized by $500 \times 500$ points.}

    \label{fig:turbgen}

\end{figure}