[SIMANchal Sahu]

Hello Team,

Can anybody explain why these two adjacent red dots occur in the Lax-Friedrich scheme?

Thank you

[berger Marsha]

lax Friedrichs is a monotone scheme (so the dots don't oscillate) but it is decoupled, so the dots next to each other are "independent", so to speak.

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<LF_SHOCK.png>

[SIMANchal Sahu]

The Rusanov scheme is also monotone so why  don't these problems arise ?

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[berger Marsha]

I forget what the rusanov scheme is, but it must be more tightly coupled than Lax friedrichs.

If you look at the LF stencil, it skips a point, the RHS uses i-1 and i+1, but not the point i.  That leads to odd/even decoupling.

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