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Jun 7, 2013 at 2:18 comment added mmirzadeh @maverick I just updated the answer with some more info for TVD. Basically you need TVD to ensure that the solution remains non-oscillatory during time integration
Jun 6, 2013 at 19:31 history edited mmirzadeh CC BY-SA 3.0
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Jun 4, 2013 at 16:35 vote accept 0b1100001
Jun 4, 2013 at 7:04 comment added 0b1100001 Thanks for the answer! I was wondering, what exactly is the effect of using a TVD integrator? Why do we need that at the first place? Why euler integrator fails? I was using euler for first order upwind. Even ENO2 and ENO3, for the problem I am solving (Ideal MHD - Flow around conducting cylinder), was giving correct results. However I found WENO5 gives oscillatory(unphysical oscillation) solution with euler integrator which seems to disappear with TVDRK schemes. Is there any theoretical basis behind this or it just comes from practice?
Jun 3, 2013 at 18:39 history edited mmirzadeh CC BY-SA 3.0
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Jun 3, 2013 at 18:28 history answered mmirzadeh CC BY-SA 3.0