Timeline for ENO-WENO Schemes: Are ENO-WENO schemes non oscillatory for all kinds (linear/non linear) of problems?
Current License: CC BY-SA 3.0
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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 |