Fine Sampling despite the Courant Condition in Hydrodynamic Simulations: CFJ

T. Ogino[1] ,*F. C. Michel [2]
Solar-Terrestrial Environment Laboratory, Nagoya University[1]
Rice University[2]

We suggest two modifications to the various versions of the Lax Wendroff method for advancing flow equations in time. The first would in effect double the Courant limit which states that the time step, delta-t, and spatial step, delta-x, must be related to the local flow velocity V by delta-x >= V delta-t. The second modification eliminates this restriction entirely. We call the combination of these modifications, which should probably be used in tandem, the "Cubic Forward Jump'' method (CFJ).