450 |
|
|
451 |
The DST3 method described above must be used in a forward-in-time |
The DST3 method described above must be used in a forward-in-time |
452 |
manner and is stable for $0 \le |c| \le 1$. Although the scheme |
manner and is stable for $0 \le |c| \le 1$. Although the scheme |
453 |
appears to be forward-in-time, it is in fact second order in time and |
appears to be forward-in-time, it is in fact third order in time and |
454 |
the accuracy increases with the Courant number! For low Courant |
the accuracy increases with the Courant number! For low Courant |
455 |
number, DST3 produces very similar results (indistinguishable in |
number, DST3 produces very similar results (indistinguishable in |
456 |
Fig.~\ref{fig:advect-1d-lo}) to the linear third order method but for |
Fig.~\ref{fig:advect-1d-lo}) to the linear third order method but for |