磁気流体の数値計算で遊ぶ - Qiita

\mathbf{U} = \begin{bmatrix} \rho \\ \rho u \\ \rho v \\ \rho w \\ B_x \\ B_y \\ B_z \\ e \end{bmatrix},\ \mathbf{F} = \begin{bmatrix} \rho u \\ \rho u^2+p_T-B_x^2 \\ \rho uv-B_xB_y \\ \rho uw-B_xB_z \\ 0 \\ B_yu-B_xv \\ B_zu-B_xw \\ \left(e+p_T\right)u-B_x\left(\mathbf{v}\cdot\mathbf{B}\right) \end{bmatrix},\ \mathbf{G} = \begin{bmatrix} \rho v \\ \rho vu-B_yB_x \\ \rho v^2+p_T-B_y^2 \\ \rho vw-B