Lax-Friedrichs
Method
The Lax-Friedrichs flux is defined as:
inserting it into the average update rule, we obtain the
Lax-Friedrichs method:
If we take a closer look at the Lax-Friedrichs flux, we notice that
it is similar to the unstable flux, but with the addition of some
correction term. This correction term looks like the diffusion flux
(??) with
The Lax-Friedrichs flux can thus be interpreted as the unstable
flux plus a numerical diffusion. This numerical diffusion damps the
instabilities that arise in the unstable method, however, it damps
it too much.
Later we will see another method, the Lax-Wendroff method, that add
less diffusion.
Release Notes:
.PDE.UsersGuide.FiniteVolumeMethod.LaxFriedrichMethod