User:Alfio/temp

$$ \begin{bmatrix} \phi^{tur}_{n+2} \\ \phi^{tur}_{n+1}  \\ \phi^{tur}_{n} \end{bmatrix}

=

\begin{bmatrix} A_{tur} & 0 & 0 \\ Id          & 0  & 0 \\ 0           & Id & 0 \end{bmatrix}

\begin{bmatrix} \phi^{tur}_{n+1} \\ \phi^{tur}_{n}  \\ \phi^{tur}_{n-1} \end{bmatrix}

+

\begin{bmatrix} A_{tur} & 0 & 0 \\ Id          & 0  & 0 \\ 0           & Id & 0 \end{bmatrix}

\begin{bmatrix} \\ H_{\infty}  \\ \\ \end{bmatrix}

( S^{mes}_{n} - DNu_{n-2} )

$$

$$ u_{n} = \begin{bmatrix} 0\ P\ 0 \end{bmatrix} \begin{bmatrix} \phi^{tur}_{n+2} \\ \phi^{tur}_{n+1} \\ \phi^{tur}_{n} \end{bmatrix}

$$