[地球流体電脳倶楽部] [dcmodel | dcmodel-tools] [numexp] [spmodel]
ここでは,雷雲を想定した質量強制を与えた1.5層浅水計算の実験結果を示す.
\begin{align} & \frac{D \boldsymbol{u}}{D t} + g' \nabla_z h + f \boldsymbol{k} \times \boldsymbol{u} = - \boldsymbol{D}_u, \\ & \frac{D g'h}{D t} + g'h (\nabla_z \cdot \boldsymbol{u}) = \sum S_{storm} + S_{rad} - D_{g'h} . \\ \end{align}
質量強制項 \begin{align} S_{storm} = s \cdot \exp \left [- \frac{R^2}{R_{storm}^2} - \frac{(t^*-t_0)}{\tau_{storm}^2} \right ] \end{align}
Showman (2007) の連続の式に質量調整項 : \(S_{mass}\) が加わる. \begin{align} & \frac{D \boldsymbol{u}}{D t} + g' \nabla_z h + f \boldsymbol{k} \times \boldsymbol{u} = - \boldsymbol{D}_u, \\ & \frac{D g'h}{D t} + g'h (\nabla_z \cdot \boldsymbol{u}) = \sum S_{storm} + S_{mass} +S_{rad} - D_{g'h} . \\ \end{align} 質量調整項 \begin{align} S_{mass} = - \left \langle \Sigma S_{storm} \right \rangle \end{align}