Timeline for AMR-Capable meshing software that is not based on quad/octrees
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Aug 19, 2023 at 13:14 | comment | added | Mikael Öhman | I'm talking about the primary field, e.g. temperature or displacements, what solution can be described by those 5 piecewise linear functions that can also be described by 6? Only a straight line. To do anything else to make the boundary discontinuous would be another source of errors, probably at a great additional computational cost and massive complexity. compared to the cheap, simple, hanging node where it's exact and for free as it can simply be reduced away algebraically. This is just to explain why so little software would even consider such a (re)meshing. | |
| Aug 18, 2023 at 5:35 | comment | added | Dan Doe | Yes, this is what I am looking for. I am not sure about the second part, as there is treatment for non-conforming meshes available. See for instance link.springer.com/article/10.1007/s10915-021-01652-3 | |
| Aug 17, 2023 at 23:28 | comment | added | Mikael Öhman | Are you envisioning the outcome from a 1.2 ratio would be something like a coarse grid of 5 elements connected to a "fine" grid of 6 elements, such that only the top and bottom nodes would line up? Because that doesn't sound desirable at all, as it would mean that the only solution compatible with both discretizations along the edge is linear. | |
| Aug 15, 2023 at 14:22 | comment | added | Dan Doe | @helloworld922 From the overview of Chombo: "Regions requiring additional resolution are identified by computing some local measure of the original error and covered by a disjoint union of rectangles in the domain, which are then refined by some integer factor." For AMReX, all examples seem to have also at least an integer ratio. Seems like your guess seems to be true, but thanks anyway! | |
| Aug 15, 2023 at 11:50 | answer | added | Wolfgang Bangerth | timeline score: 3 | |
| Aug 15, 2023 at 10:11 | comment | added | Dan Doe | @WolfgangBangerth The former, i.e., non-integer ratios of coarse to fine. The element type does not matter too much for me. | |
| Aug 14, 2023 at 16:23 | comment | added | Wolfgang Bangerth | Can you clarify whether you are interested in things other than equal bisection (as you state in the body) or other than quads/hexes (as you state in the title)? | |
| Aug 14, 2023 at 15:03 | comment | added | helloworld922 | The other common AMR technique is nested grids which in theory could do what you want, but I think in practice every implementation also enforces an integer (typically power of 2) refinement ratio. You could look into AMReX and Chombo to see if there might be some way to get them to do what you want. | |
| Aug 14, 2023 at 13:42 | history | asked | Dan Doe | CC BY-SA 4.0 |