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Stability of 2nd ordr one sided upwind 1st order in time

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Old   December 8, 2014, 19:06
Default Stability of 2nd ordr one sided upwind 1st order in time
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Ardalan
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As mentioned in chapter 21 of Hirsch's book:
"second-order one-sided differences in space with a first-order difference in time (explicit), is unconditionally unstable"
This can be proved for linear convection equation.
I want to know that whether this is true for Euler equations or not. I get converged solutions for one dimensional nozzle flow with shock by applying the above mentioned method! However some overshoots happen at shock region.

Also, when I implement limiters (minmod) to my scheme, solution convergence trend stops at about L2norm(p(n+1)-p(n))=5e-5. I can't understand what is happening.
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