675 |
phenomenon. |
phenomenon. |
676 |
|
|
677 |
Finally, the bottom left and right panels use the same advection |
Finally, the bottom left and right panels use the same advection |
678 |
scheme but the right does not use the mutli-dimensional method. At low |
scheme but the right does not use the multi-dimensional method. At low |
679 |
Courant number this appears to not matter but for moderate Courant |
Courant number this appears to not matter but for moderate Courant |
680 |
number severe distortion of the feature is apparent. Moreover, the |
number severe distortion of the feature is apparent. Moreover, the |
681 |
stability of the multi-dimensional scheme is determined by the maximum |
stability of the multi-dimensional scheme is determined by the maximum |
704 |
non-linear schemes have the most stability (up to Courant number 1). |
non-linear schemes have the most stability (up to Courant number 1). |
705 |
\item If you need to know how much diffusion/dissipation has occurred you |
\item If you need to know how much diffusion/dissipation has occurred you |
706 |
will have a lot of trouble figuring it out with a non-linear method. |
will have a lot of trouble figuring it out with a non-linear method. |
707 |
\item The presence of false extrema is unphysical and this alone is the |
\item The presence of false extrema is non-physical and this alone is the |
708 |
strongest argument for using a positive scheme. |
strongest argument for using a positive scheme. |
709 |
\end{itemize} |
\end{itemize} |