1D RKDG to shallow water equations

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RKDG to shallow water equations 1.Governing Equations \[\frac{\partial U}{\partial t} + \frac{\partial F}{\partial x} = 0 \] \[U = \begin{bmatrix} h \cr q \end{bmatrix} \quad F = \begin{bmatrix} q \cr gh^2/2 + q^2/h \end{bmatrix}\] 2.Discrete with DG…

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