Timeline for Space-time Galerkin of Burgers changes the convection speed
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 30, 2016 at 8:12 | vote | accept | Jan | ||
| Jun 27, 2016 at 8:34 | comment | added | Jan | That's right. I have done some more simulations in a more moderate setup (smooth initial condition, shorter time frame) and I see the same picture of the incorrect wave speed... | |
| Jun 24, 2016 at 13:45 | comment | added | Bill Barth | You're still pretty unresolved in $x$. I can't guarantee that this is your problem, but I don't think you get to ask until you get rid of the wiggles. To quote Gresho "they're telling you something". | |
| Jun 24, 2016 at 6:25 | comment | added | Jan | Thank you for having a look into it. I have added a picture for a finer space-time grid (now 25*25 instead of 12*12 basis functions) to make the point that the effect is not due to underresolution. On the conceptual side; I really don't think that I need a scheme that resembles a symplectic integrator, since such integrators will mainly pay off in terms of long time energy preservation. They may have a smaller consistency error locally but that can be compensated by finer discretizations. Also, the initial simulation (first picture) did not resort to a symplectic time integrator. | |
| Jun 23, 2016 at 21:43 | history | edited | Bill Barth | CC BY-SA 3.0 |
wrong picture mentioned
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| Jun 23, 2016 at 13:32 | history | answered | Bill Barth | CC BY-SA 3.0 |