Hi, I tried solving linear advection equation using lax wendroff and maccormack schemes. the initial condition was a step. In the solution I could see numerical oscillations only on the left side of the step. There was no dispersion on the right side of the step. (the wave speed is positive constant for my problem). What could be the reason for this?

thanking you

prapanj

Hi

These oscillation are typical for method used, therefore only natural, to remedy this problem you need to add an artificial viscosity to damp these oscillations, otherwise you can use a scheme of Roe with a limiter adequate

Look for definitions of lagging and leading phase error.

hi I was asking the reason for the oscillations occuring only on one side. thank u