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