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Wave equation


\begin{displaymath}
\frac{\partial \dot s}{\partial t} =
c^2 ( \frac{\partial^...
...}{\partial {x_2}^2} +
\frac{\partial^2 s}{\partial {x_3}^2} )
\end{displaymath}


\begin{displaymath}
\frac{\partial s}{\partial t} = \dot s
\end{displaymath}

The primary unknowns are the wave_scalar s and its first time derivative wave_fscalar $\dot s$ ( as TOCHNOG only solves first order in time equations, the first time derivative of s also becomes primary unknown in order to turn this second order in time equation into a set of first order in time equations). Further notation: x space coordinate, t time and c speed of sound.



root
1998-11-16