# Inviscid flux jacobians

The inviscid flux vector $(F,G,H)$ are given by
$F = \begin{bmatrix} \rho u \\ p + \rho u^2 \\ \rho u v \\ \rho u w \\ (\rho E + p) u \end{bmatrix}, \quad G = \begin{bmatrix} \rho v \\ \rho v u \\ p + \rho v^2 \\ \rho v w \\ (\rho E + p) v \end{bmatrix}, \quad H = \begin{bmatrix} \rho w \\ \rho w u \\ \rho w v \\ p + \rho w^2 \\ (\rho E + p) w \end{bmatrix}$