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    • 李东岳
      李东岳 管理员 last edited by

      有定义:
      \begin{equation}
      p_{\mathrm{rgh}}=p-\rho\mathbf{g}\cdot\mathbf{h}
      \end{equation}
      求散度:
      \begin{equation}
      \nabla p_{\mathrm{rgh}}=\nabla p-\nabla\left(\rho\mathbf{g}\cdot\mathbf{h}\right)
      \end{equation}
      \begin{equation}
      \nabla p_{\mathrm{rgh}}=\nabla p-\rho\nabla\left(\mathbf{g}\cdot\mathbf{h}\right)-
      \mathbf{g}\cdot\mathbf{h}\nabla\left(\rho\right)
      \end{equation}
      其中的gh可以化简,因为g为重力为已知的,点乘之后并求梯度为g:
      \begin{equation}
      \nabla\left(\mathbf{g}\cdot\mathbf{h}\right)=\mathbf{g}
      \end{equation}
      有问题可回帖

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