next up previous contents index

2.4.7 Lax-Friedrichs scheme

Figure 14: Stencil and example for Lax-Friedrichs scheme.
\includegraphics[width=8.0cm]{images/} \includegraphics[width=8.0cm]{images/}
Figure 14: Lax-Friedrichs scheme with flux
f_{i+\frac{1}{2}}^n = \frac{1}{2} \left[ f \! \...
...lta t}
\left[ \rho_{i+1}^n -
\enspace .
\end{displaymath} (115)
The smearing is so strong that not even the number of the initial spikes is conserved. And there are some non-decaying small-scale wiggles left.

Note: odd-even decoupling.