[petsc-users] Uninterpolating DMLabels?

Matthew Knepley knepley at gmail.com
Fri Apr 10 15:41:21 CDT 2015


On Fri, Apr 10, 2015 at 3:39 PM, Justin Chang <jchang27 at uh.edu> wrote:

> That makes a lot of sense now. So if I understand this correctly, with
> -dm_refine 2, all of the fine cells for coarse cell number 3 would be:
>
> 192 193 ... 255
>
> -dm_refine 3 for the same cell would be:
>
> 1536 1537 .... 2047
>
> and so on. And this would hold true even for distributed meshes?
>

Yes. The nice thing with regular refinement is that all the operations are
completely local.

  Thanks,

     Matt


> Thanks,
>
> On Fri, Apr 10, 2015 at 1:21 PM, Matthew Knepley <knepley at gmail.com>
> wrote:
>
>> On Fri, Apr 10, 2015 at 12:58 PM, Justin Chang <jchang27 at uh.edu> wrote:
>>
>>> Sorry I am a little confused here. I understand that each refinement of
>>> a 3D simplex element yields 8 subcells, but give the expression c_f \in
>>> [C c_c, C (c_c + 1) ) what exactly are these and/or what do they mean:
>>>
>>
>> There are 8 fine cells created in each coarse cell. If the coarse cell
>> number is c_c, then the fine cells numbers are
>>
>>   C c_c, C c_c + 1, ..., C (c_c + 1) -1
>>
>> So, if the coarse cell number is 3, then the fine cells inside are
>>
>>   24, 25, 26, 27, 28, 29, 30, 31
>>
>>   Thanks,
>>
>>      Matt
>>
>>
>>> c_f \in [... )
>>> C
>>> c_c
>>> (c_c + 1)
>>>
>>> Originally I was thinking the functions DMPlexGetTransitiveClosure(...)
>>> and/or DMPlexGetCoarseDM(...) need to be invoked somehow. Do they?
>>>
>>> Again thanks for your help
>>>
>>> --
>>> Justin Chang
>>> PhD Candidate, Civil Engineering - Computational Sciences
>>> University of Houston, Department of Civil and Environmental Engineering
>>> Houston, TX 77004
>>> (512) 963-3262
>>>
>>> On Fri, Apr 10, 2015 at 11:38 AM, Matthew Knepley <knepley at gmail.com>
>>> wrote:
>>>
>>>> On Fri, Apr 10, 2015 at 1:01 AM, Justin Chang <jchang27 at uh.edu> wrote:
>>>>
>>>>> Matt,
>>>>>
>>>>> I am not sure I follow what you're saying here. Currently I am working
>>>>> with 3D simplex elements so if the variable numSubcells is what you're
>>>>> referring to in CellRefinerGetAffineTransforms_Internal(), there's no
>>>>> example for REFINER_SIMPLEX_3D. What would it be in that case, 7?
>>>>>
>>>>
>>>> Its 8. There are 8 fine cells for every coarse cell.
>>>>
>>>>
>>>>> What I am looking for is a function and/or a set of algorithms where
>>>>> given a sieve point m from the original coarse mesh, I can obtain the
>>>>> corresponding set of (fine mesh) sieve points. I am assuming c_f \in [C
>>>>> c_c, C (c_c + 1) ) describes just that?
>>>>>
>>>>
>>>> Yes,  C = 8.
>>>>
>>>>
>>>>> Is there an existing DMPlex related function that implements this
>>>>> directly? Because I don't see how CellRefinerGetAffineTransforms_Internal()
>>>>> will help.
>>>>>
>>>>
>>>> I would just give you C. Yes, I would just write it. It should be 1
>>>> line.
>>>>
>>>>   Thanks,
>>>>
>>>>      Matt
>>>>
>>>>
>>>>>
>>>>> Thanks,
>>>>>
>>>>>
>>>>> On Thu, Apr 9, 2015 at 8:20 PM, Matthew Knepley <knepley at gmail.com>
>>>>> wrote:
>>>>>
>>>>>> On Thu, Apr 9, 2015 at 8:14 PM, Justin Chang <jchang27 at uh.edu> wrote:
>>>>>>
>>>>>>> Matt, thank you for the clarification. One more question somewhat on
>>>>>>> a related note.
>>>>>>>
>>>>>>> I have auxiliary data corresponding to the permeability of a
>>>>>>> reservoir (for instance, the SPE10 benchmark problem). The data is
>>>>>>> cell-wise and read from a binary file. I want to refine both the DM and
>>>>>>> this data. Is there a way to obtain the mapping from the coarse mesh to the
>>>>>>> fine mesh? What I mean is, given a coarse cell, can I somehow get the
>>>>>>> transitive closure of the fine cells it created during the refinement
>>>>>>> process? This would allow me to copy the value of the coarse cell data onto
>>>>>>> it's children.
>>>>>>>
>>>>>>
>>>>>> If you are doing regular refinement, there is a simple formula:
>>>>>>
>>>>>>   c_f \in [ C c_c, C (c_c +1) )
>>>>>>
>>>>>> where C is the number of cells created from each cell. You can get C
>>>>>> from
>>>>>>
>>>>>>   CellRefinerGetAffineTransforms_Internal()
>>>>>>
>>>>>> which I could promote to a real interface function.
>>>>>>
>>>>>>   Thanks,
>>>>>>
>>>>>>      Matt
>>>>>>
>>>>>>
>>>>>>> Thanks,
>>>>>>>
>>>>>>> On Thu, Apr 9, 2015 at 7:52 PM, Matthew Knepley <knepley at gmail.com>
>>>>>>> wrote:
>>>>>>>
>>>>>>>> On Thu, Apr 9, 2015 at 7:21 PM, Justin Chang <jchang27 at uh.edu>
>>>>>>>> wrote:
>>>>>>>>
>>>>>>>>> 1) I did what you had suggested and it works very well thanks.
>>>>>>>>>
>>>>>>>>
>>>>>>>> Cool.
>>>>>>>>
>>>>>>>>
>>>>>>>>> 2) In my case, calling uninterpolate does make a difference, just
>>>>>>>>> not necessarily in the solver step (I am using Tao's BLMVM). I attached two
>>>>>>>>> output files, one containing the timings and summaries with uninterpolating
>>>>>>>>> and one without uninterpolating. And the source code if you wanted to
>>>>>>>>> verify the "correctness" of my implementation. Namely, the biggest
>>>>>>>>> difference I see is in setting up the PetscSection. When uninterpolating
>>>>>>>>> the data this steps takes 8.64039 seconds but when I do not uninterpolate
>>>>>>>>> the data it takes 61.2977 seconds. Is this "significant" enough, or is it
>>>>>>>>> unimportant given the fact that this step occurs only once during any
>>>>>>>>> simulation?
>>>>>>>>>
>>>>>>>>
>>>>>>>> That is significant. Most of that time is in the operator
>>>>>>>> preallocation routine. It was cleaner to first gather the point
>>>>>>>> adjacency information, and then push the dof information on top. If
>>>>>>>> I aggressively merged the dof data, I could have
>>>>>>>> pruned a bunch of the work here and gotten much closer to the first
>>>>>>>> time, at the expense of more complicated code.
>>>>>>>> I guess this is the right pattern if you know that you will only
>>>>>>>> have unknowns on cells and vertices.
>>>>>>>>
>>>>>>>>
>>>>>>>>> 3) Also, about DMPlexDistribute(...). Right now it still seems
>>>>>>>>> extremely slow, hence why I am distributing a coarse mesh and having each
>>>>>>>>> processor refine its local portion of the mesh. In my current
>>>>>>>>> implementation, I have rank 0 distribute the mesh via ParMETIS. Will there
>>>>>>>>> eventually be a methodology to do parallel I/O then redistribution for load
>>>>>>>>> balancing or does it already exist?
>>>>>>>>>
>>>>>>>>
>>>>>>>> Redistribution for load balancing already exists. The stumbling
>>>>>>>> block right now is parallel mesh import. However,
>>>>>>>> the group at ICL (Michael Lange and Gerard Gorman) is working on
>>>>>>>> this, and we expect to have it working by
>>>>>>>> the end of summer. Until then, I recommend exactly what you are
>>>>>>>> doing.
>>>>>>>>
>>>>>>>>   Thanks,
>>>>>>>>
>>>>>>>>      Matt
>>>>>>>>
>>>>>>>>
>>>>>>>>> Thanks,
>>>>>>>>>
>>>>>>>>> On Tue, Apr 7, 2015 at 8:37 PM, Matthew Knepley <knepley at gmail.com
>>>>>>>>> > wrote:
>>>>>>>>>
>>>>>>>>>> On Tue, Apr 7, 2015 at 7:18 PM, Justin Chang <jchang27 at uh.edu>
>>>>>>>>>> wrote:
>>>>>>>>>>
>>>>>>>>>>> Hi all,
>>>>>>>>>>>
>>>>>>>>>>> So I am interpolating/uninterpolating my DMPlex mesh. This is
>>>>>>>>>>> the mesh information for a cell-vertex mesh only:
>>>>>>>>>>>
>>>>>>>>>>> DM Object: 1 MPI processes
>>>>>>>>>>>   type: plex
>>>>>>>>>>> DM_0x84000000_0 in 3 dimensions:
>>>>>>>>>>>   0-cells: 159
>>>>>>>>>>>   3-cells: 592
>>>>>>>>>>> Labels:
>>>>>>>>>>>   marker: 1 strata of sizes (100)
>>>>>>>>>>>   depth: 2 strata of sizes (159, 592)
>>>>>>>>>>>
>>>>>>>>>>> I am interpolating the mesh with the following lines:
>>>>>>>>>>>
>>>>>>>>>>>   ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr);
>>>>>>>>>>>   ierr = DMPlexCopyCoordinates(*dm, idm);CHKERRQ(ierr);
>>>>>>>>>>>   ierr = DMPlexCopyLabels(*dm, idm);CHKERRQ(ierr);
>>>>>>>>>>>   ierr = DMPlexGetLabel(idm, "marker", &label);CHKERRQ(ierr);
>>>>>>>>>>>   ierr = DMPlexMarkBoundaryFaces(idm,label);CHKERRQ(ierr);
>>>>>>>>>>>   ierr = DMDestroy(dm);CHKERRQ(ierr);
>>>>>>>>>>>   *dm = idm;
>>>>>>>>>>>
>>>>>>>>>>> And the resulting mesh:
>>>>>>>>>>>
>>>>>>>>>>> DM Object: 1 MPI processes
>>>>>>>>>>>   type: plex
>>>>>>>>>>> DM_0x84000000_1 in 3 dimensions:
>>>>>>>>>>>   0-cells: 159
>>>>>>>>>>>   1-cells: 845
>>>>>>>>>>>   2-cells: 1280
>>>>>>>>>>>   3-cells: 592
>>>>>>>>>>> Labels:
>>>>>>>>>>>   marker: 1 strata of sizes (292)
>>>>>>>>>>>   depth: 4 strata of sizes (159, 845, 1280, 592)
>>>>>>>>>>>
>>>>>>>>>>> The reason I did this is so that incase I decide to refine the
>>>>>>>>>>> mesh with "-dm_refine <number>" the DM will be sure to include the "marker"
>>>>>>>>>>> points in the refinement process. Now, if I decide to uninterpolate the
>>>>>>>>>>> mesh with the following lines:
>>>>>>>>>>>
>>>>>>>>>>>   ierr = DMPlexUninterpolate(*dm, &idm);CHKERRQ(ierr);
>>>>>>>>>>>   ierr = DMPlexCopyCoordinates(*dm, idm);CHKERRQ(ierr);
>>>>>>>>>>>   ierr = DMPlexCopyLabels(*dm, idm);CHKERRQ(ierr);
>>>>>>>>>>>   ierr = DMDestroy(dm);CHKERRQ(ierr);
>>>>>>>>>>>   *dm = idm;
>>>>>>>>>>>
>>>>>>>>>>> I end up with this mesh:
>>>>>>>>>>>
>>>>>>>>>>> DM Object: 1 MPI processes
>>>>>>>>>>>   type: plex
>>>>>>>>>>> DM_0x84000000_2 in 3 dimensions:
>>>>>>>>>>>   0-cells: 159
>>>>>>>>>>>   3-cells: 592
>>>>>>>>>>> Labels:
>>>>>>>>>>>   marker: 1 strata of sizes (292)
>>>>>>>>>>>   depth: 2 strata of sizes (159, 592)
>>>>>>>>>>>
>>>>>>>>>>> The problem is that although the cells and vertices have gone
>>>>>>>>>>> back to the original number, the "marker" label still includes face/edge
>>>>>>>>>>> points. This gives me an error once I invoke DMCreateGobalVector(...).
>>>>>>>>>>>
>>>>>>>>>>> [0]PETSC ERROR: --------------------- Error Message
>>>>>>>>>>> --------------------------------------------------------------
>>>>>>>>>>> [0]PETSC ERROR: Argument out of range
>>>>>>>>>>> [0]PETSC ERROR: Section point 755 should be in [0, 751)
>>>>>>>>>>> [0]PETSC ERROR: See
>>>>>>>>>>> http://www.mcs.anl.gov/petsc/documentation/faq.html for trouble
>>>>>>>>>>> shooting.
>>>>>>>>>>> [0]PETSC ERROR: Petsc Development GIT revision:
>>>>>>>>>>> v3.5.3-2528-gbee642f  GIT Date: 2015-03-29 20:36:38 -0500
>>>>>>>>>>> [0]PETSC ERROR: ./cube_with_hole on a arch-linux2-c-debug named
>>>>>>>>>>> pacotaco by justin Tue Apr  7 19:09:12 2015
>>>>>>>>>>> [0]PETSC ERROR: Configure options --download-chaco
>>>>>>>>>>> --download-exodusii --download-fblaslapack --download-hdf5 --download-metis
>>>>>>>>>>> --download-mpich --download-mumps --download-netcdf --download-parmetis
>>>>>>>>>>> --download-scalapack --download-triangle --with-cc=gcc --with-cmake=cmake
>>>>>>>>>>> --with-cxx=g++ --with-debugging=1 --with-fc=gfortran --with-valgrind=1
>>>>>>>>>>> PETSC_ARCH=arch-linux2-c-debug
>>>>>>>>>>> [0]PETSC ERROR: #1 PetscSectionGetDof() line 499 in
>>>>>>>>>>> /home/justin/petsc-dev/src/vec/is/utils/vsectionis.c
>>>>>>>>>>> [0]PETSC ERROR: #2 DMPlexGetConeSize() line 841 in
>>>>>>>>>>> /home/justin/petsc-dev/src/dm/impls/plex/plex.c
>>>>>>>>>>> [0]PETSC ERROR: #3 DMPlexGetTransitiveClosure() line 1342 in
>>>>>>>>>>> /home/justin/petsc-dev/src/dm/impls/plex/plex.c
>>>>>>>>>>> [0]PETSC ERROR: #4 DMPlexLabelComplete() line 88 in
>>>>>>>>>>> /home/justin/petsc-dev/src/dm/impls/plex/plexsubmesh.c
>>>>>>>>>>> [0]PETSC ERROR: #5 DMCreateDefaultSection_Plex() line 5605 in
>>>>>>>>>>> /home/justin/petsc-dev/src/dm/impls/plex/plex.c
>>>>>>>>>>> [0]PETSC ERROR: #6 DMGetDefaultSection() line 3035 in
>>>>>>>>>>> /home/justin/petsc-dev/src/dm/interface/dm.c
>>>>>>>>>>> [0]PETSC ERROR: #7 DMGetDefaultGlobalSection() line 3266 in
>>>>>>>>>>> /home/justin/petsc-dev/src/dm/interface/dm.c
>>>>>>>>>>> [0]PETSC ERROR: #8 DMCreateGlobalVector_Section_Private() line
>>>>>>>>>>> 13 in /home/justin/petsc-dev/src/dm/interface/dmi.c
>>>>>>>>>>> [0]PETSC ERROR: #9 DMCreateGlobalVector_Plex() line 1170 in
>>>>>>>>>>> /home/justin/petsc-dev/src/dm/impls/plex/plexcreate.c
>>>>>>>>>>> [0]PETSC ERROR: #10 DMCreateGlobalVector() line 698 in
>>>>>>>>>>> /home/justin/petsc-dev/src/dm/interface/dm.c
>>>>>>>>>>> [0]PETSC ERROR: #11 main() line 363 in
>>>>>>>>>>> /home/justin/Dropbox/Research_Topics/Code_PETSc/Nonneg/cube_with_hole.c
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>> From this error, it seems it's trying to access sieve points
>>>>>>>>>>> that non longer exist. And I think it has to do with the label "marker"
>>>>>>>>>>> still contains data from the interpolated mesh. Is there a way to
>>>>>>>>>>> "uninterpolate" or remove such points? Or is there a better way of
>>>>>>>>>>> approaching this whole thing?
>>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> 1) It would be easy to write a small function to throw out the
>>>>>>>>>> points in the label that do not exist in the DM. You
>>>>>>>>>>     would just extract each stratumIS and then Clear each invalid
>>>>>>>>>> point.
>>>>>>>>>>
>>>>>>>>>> 2) However, I do not understand the rationale for this above. You
>>>>>>>>>> could just call MarkBoundaryFaces on the final mesh.
>>>>>>>>>>     If you are really trying to preserve a label across regular
>>>>>>>>>> refinement AND you really do not want an interpolated mesh,
>>>>>>>>>>     then code up 1). I have yet to see a case where the extra
>>>>>>>>>> memory for edges and faces makes a difference, but it may exist.
>>>>>>>>>>
>>>>>>>>>>   Thanks,
>>>>>>>>>>
>>>>>>>>>>      Matt
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>>> Thanks,
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>> --
>>>>>>>>>>> Justin Chang
>>>>>>>>>>> PhD Candidate, Civil Engineering - Computational Sciences
>>>>>>>>>>> University of Houston, Department of Civil and Environmental
>>>>>>>>>>> Engineering
>>>>>>>>>>> Houston, TX 77004
>>>>>>>>>>> (512) 963-3262
>>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> --
>>>>>>>>>> What most experimenters take for granted before they begin their
>>>>>>>>>> experiments is infinitely more interesting than any results to which their
>>>>>>>>>> experiments lead.
>>>>>>>>>> -- Norbert Wiener
>>>>>>>>>>
>>>>>>>>>
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> --
>>>>>>>>> Justin Chang
>>>>>>>>> PhD Candidate, Civil Engineering - Computational Sciences
>>>>>>>>> University of Houston, Department of Civil and Environmental
>>>>>>>>> Engineering
>>>>>>>>> Houston, TX 77004
>>>>>>>>> (512) 963-3262
>>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>> --
>>>>>>>> What most experimenters take for granted before they begin their
>>>>>>>> experiments is infinitely more interesting than any results to which their
>>>>>>>> experiments lead.
>>>>>>>> -- Norbert Wiener
>>>>>>>>
>>>>>>>
>>>>>>>
>>>>>>>
>>>>>>> --
>>>>>>> Justin Chang
>>>>>>> PhD Candidate, Civil Engineering - Computational Sciences
>>>>>>> University of Houston, Department of Civil and Environmental
>>>>>>> Engineering
>>>>>>> Houston, TX 77004
>>>>>>> (512) 963-3262
>>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>> --
>>>>>> What most experimenters take for granted before they begin their
>>>>>> experiments is infinitely more interesting than any results to which their
>>>>>> experiments lead.
>>>>>> -- Norbert Wiener
>>>>>>
>>>>>
>>>>>
>>>>>
>>>>> --
>>>>> Justin Chang
>>>>> PhD Candidate, Civil Engineering - Computational Sciences
>>>>> University of Houston, Department of Civil and Environmental
>>>>> Engineering
>>>>> Houston, TX 77004
>>>>> (512) 963-3262
>>>>>
>>>>
>>>>
>>>>
>>>> --
>>>> What most experimenters take for granted before they begin their
>>>> experiments is infinitely more interesting than any results to which their
>>>> experiments lead.
>>>> -- Norbert Wiener
>>>>
>>>
>>>
>>>
>>> --
>>> Justin Chang
>>> PhD Candidate, Civil Engineering - Computational Sciences
>>> University of Houston, Department of Civil and Environmental Engineering
>>> Houston, TX 77004
>>> (512) 963-3262
>>>
>>
>>
>>
>> --
>> What most experimenters take for granted before they begin their
>> experiments is infinitely more interesting than any results to which their
>> experiments lead.
>> -- Norbert Wiener
>>
>
>
>
> --
> Justin Chang
> PhD Candidate, Civil Engineering - Computational Sciences
> University of Houston, Department of Civil and Environmental Engineering
> Houston, TX 77004
> (512) 963-3262
>



-- 
What most experimenters take for granted before they begin their
experiments is infinitely more interesting than any results to which their
experiments lead.
-- Norbert Wiener
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