[aspect-devel] problem with ASPECT - the iterative Stokes solver did not converge

[Rene Gassmoeller]

Hi Petar,
I think I found at least one of the problems. So far the material model
you use expects the radial viscosity file in the format of [Viscosity
[Pas]] [Depth [km]], but unfortunately it does only use the depth column
to find the minimum and maximum value and assumes all intervals in
between are equally sized. This is poorly documented, since at the time
we created the material model it was not intended to be used with other
viscosity profiles. For the time being you could use the attached
profile, which I simply took from your file and linearly interpolated on
equidistant depths. There still seems to be a glitch somewhere, because
I do not see a lithosphere in my (2d) test models, and I can not confirm
the convergence in 3d right now, maybe I can take a look tomorrow.
If you prefer a stepwise function, we might think about implementing a
new reader class for your viscosity profile. Thanks a lot for the profile.

Let me know if this works for you,
Rene



On 08/04/2014 10:16 PM, Petar Glisovic wrote:
> @Wolfgang or @list moderator
> I didn't receive either Rene or Jacky's message. Checking the aspect-devel
> archives I have found out that there are these two messages intended for
> me. However, I have subscribed to the aspect-devel list and I hope this
> will prevent the communication problems in the future.
> 
> @Rene
> Thank you for your detailed reply.
> 
> 1. It seems the Adiabatic surface temperature should be 1600 K by default.
> However this alone is not enough to solve the convergence of the iterative
> Stokes solver.
> 
> 2. The convergence in 2D could not be achieved also, but
> 
> 3. a simple material model with Thermal viscosity exponent=10 worked quite
> well, therefore, a resolution is well-defined after all, is it?
> 
> 4. However, I run a test setting the global refinement in the 3D model to 5
> and the adaptive refinement to 0 and it seems nothing happened (the job is
> done after ~30 sec - there is no error message), this is a log file:
> 
>> Number of active cells: 3145728 (on 6 levels)
>> Number of degrees of freedom: 104645770 (76088070+3195010+25362690)
>>
> 
> 5. If I set the temperature dependence to 0 as you explained and use a
> constant radial viscosity profile test-radial-visc.txt (inside
> aspect/data/material-model/steinberger/test-steinberger-compressible/) then
> the code works for a while, to be precise 13 timesteps,
> 
>> *** Timestep 13:  t=343515 years
>>    Solving temperature system... 19 iterations.
>>    Rebuilding Stokes preconditioner...
>>    Solving Stokes system... 30+15 iterations.
>>
>>    Postprocessing:
>>      RMS, max velocity:                  0.583 m/year, 3.54 m/year
>>      Temperature min/avg/max:            300 K, 1934 K, 3565 K
>>
>      Heat fluxes through boundary parts: -2.756e+13 W, 2.332e+13 W
>>
> 
> and after that I have received the following error message:
> 
>> An error occurred in line <3369> of file
>> </RQusagers/glisovic/deal.II/include/deal.II/lac/trilinos_sparse_matrix.h>
>> in function
>>     void
>> dealii::TrilinosWrappers::SparseMatrix::add(dealii::TrilinosWrappers::SparseMatrix::size_type,
>> dealii::TrilinosWrappers::SparseMatrix::size_type, const size_type*, const
>> double*, bool, bool)
>> The violated condition was:
>>     numbers::is_finite(values[j])
>> The name and call sequence of the exception was:
>>     ExcNumberNotFinite()
>> Additional Information:
>>
> (none)
>>
> 
> So, help! No idea how to move forward.
> 
> Many thanks,
> Petar
> 
> *Rene Gassmoeller rengas at gfz-potsdam.de
>> <aspect-devel%40geodynamics.org?Subject=Re%3A%20%5Baspect-devel%5D%20problem%20with%20ASPECT%20-%20the%20iterative%20Stokes%0A%20solver%20did%20not%20converge&In-Reply-To=%3C53D5EB69.30809%40gfz-potsdam.de%3E>*
>>
> *Sun Jul 27 23:19:21 PDT 2014*
>>
> Hi Petar,
>> from a first glance the parameters you used for your model look good,
>> but there is one thing you should test. In your parameter file you did
>> not set the Adiabatic surface temperature, because it is not needed for
>> the simple material model, and it defaults to 0 (@Wolfgang: We should
>> maybe change this to a reasonable value like 1600? Many of the more
>> complex plugins rely on a good adiabatic profile). The Steinberger
>> material model, and also your harmonic perturbation initial condition
>> rely on the initially computed adiabatic profile to compute their
>> properties, therefore this might mess up you calculation. I would guess
>> this is already the problem.
>>
>> However there are a few other things that you might try to find the
>> reason for the convergence problems if the above did not help. First you
>> could test the convergence in 2D, in your model setup that is as simple
>> as setting Dimension = 2. And you could try a higher resolution in 2D.
>> Both options should show significantly better convergence, so you have
>> at least a starting point.
>>
>> Then you could test a temperature dependency in the simple material
>> model (e.g. set Thermal viscosity exponent to something like 10). If
>> this turns out to be a problem then your resolution might be too low to
>> resolve the viscosity changes you are prescribing.
>>
>> If it turns out to be a resolution issue, try setting the global
>> refinement in the 3D model to 5 and the adaptive refinement to 0. Aspect
>> will still coarsen and adaptively refine again later on, just the
>> initial convergence should be much better.
>>
>> You mentioned that you tested a constant viscosity profile with the
>> Steinberger material model, but in the parameter file it looks like you
>> only modified the radial dependence? Did you also set the temperature
>> dependence to 0? You could do that by setting 'Lateral viscosity file
>> name' to our test file in
>> data/material-model/steinberger/test-steinberger-compressible/test-viscosity-prefactor.txt.
>> With a constant radial and lateral viscosity the convergence should be
>> extremely fast.
>>
>> Let us know if you have any further questions.
>>
>> In fact I have a question for you. We are constantly looking to improve
>> the available options in Aspect and include new models. Could you ask
>> Alessandro, whether he would be willing to share the viscosity profile
>> you used with the general Aspect users? In that case we could include it
>> in the official version as an alternative to the existing one by
>> Steinberger & Calderwood.
>>
>> Best,
>> Rene
>>
>>
> 
> 
> On Fri, Jul 25, 2014 at 6:22 PM, Petar Glisovic <pglisovic at gmail.com> wrote:
> 
>> Wolfgang,
>>
>> First of all, thank you for your quick reply.
>>
>>  This is almost certainly an unrelated observation, but with as few
>>> unknowns as you have, you should first run small models using only a single
>>> processor when you try things out.
>>>
>>> My rule of thumb is that you can run models with a few 100,000 unknowns
>>> on a single processor. For parallel computations, you typically don't gain
>>> anything if you have fewer than 50,000 unknowns per processor -- i.e., in
>>> your case, 4 or 5 processors is about the optimum.
>>>
>>
>> Thanks for this tip.
>>
>>
>>
>> subsection Material model
>>>>      set Model name = Steinberger
>>>>      subsection Steinberger model
>>>>          set Bilinear interpolation = true
>>>>          set Compressible = true
>>>
>>> What happens if you set this to false?
>>>
>>
>> The outcome of this action is:
>> --------------------------------------------------------
>> An error occurred in line <3369> of file </RQusagers/glisovic
>> /deal.II/include/deal.II/lac/trilinos_sparse_matrix.h> in function
>>     void dealii::TrilinosWrappers::SparseMatrix::add(dealii::
>> TrilinosWrappers::SparseMatrix::size_type, dealii::TrilinosWrappers::
>> SparseMatrix::size_type, const size_type*, const double*, bool, bool)
>> The violated condition was:
>>     numbers::is_finite(values[j])
>> The name and call sequence of the exception was:
>>     ExcNumberNotFinite()
>> Additional Information:
>> (none)
>> ...
>> The complete log file is attached below.
>>
>> Petar
>>
>>
>>
>> On Fri, Jul 25, 2014 at 4:14 PM, Wolfgang Bangerth <bangerth at math.tamu.edu
>>> wrote:
>>
>>>
>>> Petar,
>>> let me pull this discussion to the mailing list since the authors of the
>>> Steinberger model are there.
>>>
>>>
>>>  I have experienced a problem running ASPECT. It seems that the iterative
>>>> Stokes solver did not converge after three days of the job running on 48
>>>> CPUs - please see attached log files (/aspect.e2477653, aspect.o2477653
>>>> & log.txt/).
>>>>
>>>
>>> This is almost certainly an unrelated observation, but with as few
>>> unknowns as you have, you should first run small models using only a single
>>> processor when you try things out.
>>>
>>> My rule of thumb is that you can run models with a few 100,000 unknowns
>>> on a single processor. For parallel computations, you typically don't gain
>>> anything if you have fewer than 50,000 unknowns per processor -- i.e., in
>>> your case, 4 or 5 processors is about the optimum.
>>>
>>>  However, my goal is to use the depth-dependent (i.e., radial) viscosity
>>>> profile (Mitrovica & Forte, 2004; please see attached file:
>>>> /mitro-forte-2004-radial-visc-new.txt/) jointly with lateral variations
>>>> in viscosity (see below /shell_simple_3d_new.prm/). For example, to use
>>>>
>>>> something similar to the Steinberger model:
>>>> subsection Material model
>>>>      set Model name = Steinberger
>>>>      subsection Steinberger model
>>>>          set Bilinear interpolation = true
>>>>          set Compressible = true
>>>>
>>>
>>> What happens if you set this to false?
>>>
>>> I don't know the parameters to the Steinberger model, so can't comment on
>>> their validity. I hope someone else on the mailing list may be able to
>>> provide more feedback.
>>>
>>> Best
>>>   Wolfgang
>>> --
>>> ------------------------------------------------------------------------
>>> Wolfgang Bangerth               email:            bangerth at math.tamu.edu
>>>                                 www: http://www.math.tamu.edu/~bangerth/
>>>
>>>
>>
>>
>> --
>> Petar Glisovic, Dr.
>> postdoctoral fellow
>>
>> *address*:  GEOTOP, Université du Québec à Montréal, CP 8888, succursale
>> Centre-Ville, Montréal, Québec, Canada H3C 3P8 * | ema**il**: *
>> pglisovic at gmail.com & glisovic.petar at courrier.uqam.ca*  | phone:  *1-514-987-3000
>> #3592 & #4600*  | fax:  *1-514-987-3635
>>
> 
> 
> 
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