Hi Robert,

thanks for the clarification.

I was trying out your idea with reloading the problem. It works, but I aggree that this is not really the solution I was looking for. Saving the whole instance is too heavy.

Probably there is another approach: For doing the interpolation outside of sfepy I would need the regression functions of some of the tetrahedral elements (basis function of the tetrahedral elements) where the evaluation points are located. Is it possible to get this in a reasonable way after the domain or problem is defined, just by giving the evaluation points?

Then I could just multiply the displacements with the basis to get the interpolation of the points. Probably these things are already used inside of evaluate_at(). I was just not able to follow everything that is done in this function. Alternatively, I can calculate the basis on my own, but I prefer to reuse the things that are already there. Problably you have good recommendation? Thank you again.

Regards,
Kathrin

2017-10-31 11:44 GMT+01:00 Robert Cimrman :
Hi Kathrin,

On 10/30/2017 03:59 PM, Kathrin Sobe wrote:
Hi Robert,

thank you for the help.

The interplation was working according to the examples from tests.

This is a part of the code from my linear elastic problem, the result
extraction (displacements, stress and strain) and the additional
interpolation of certain points at the end:

# field and field variables
field = Field.from_args('displacement', numpy.float64, 3, omega,
approx_order=1)
u = FieldVariable('u', 'unknown', field, order=0)
v = FieldVariable('v', 'test', field, primary_var_name='u')
...
# run simulation
vec = pb.solve()
# postprocessing and saving results
output_dict = vec.create_output_dict(fill_value=None,
extend=True,
linearization=None)  # u als key
# struct array displacements, strain, stress
output_dict = post_process(output_dict, pb, state, extend=True)
nodes_displacements = output_dict['u'].data
strain_tensors = output_dict['cauchy_strain'].data
stress_tensors = output_dict['cauchy_stress'].data

...
p1 = numpy.array([1120, 53.375, 60.804])
coors = numpy.array([p1])
interpolations = u.evaluate_at(coors)

My question is: Is it possible to run the point interpolation after
everything is finished and closed just by loading the saved result data.
What I mean is, I run the FE simulation in a first step and I save
the results (displacements, stress, strain). Later, I would like to load
the saved data and run the point interpolation. As far as I understand the
code, I would need the
FieldVariable and the Field, but also the results data of the problem.
Could you give some advice what would be necessary for saving to reload the
required data structures for the interpolation?

You could try using Problem.save_restart() (to save the state after the problem is solved) and Problem.load_restart() (to load the state instead of solving again). But this needs the full problem instance, which might be too heavy. This use case was not really considered.

r.

Thank you,
Kathrin

2017-10-24 21:24 GMT+02:00 Robert Cimrman <cimrman3@ntc.zcu.cz>:

Hi Kathrin,

On 10/24/2017 06:08 PM, Kathrin Sobe wrote:

Hi Robert,

I was looking for a postprocessing method to calculate the displacements
for points on the surface of the mesh that are not necessarily node points.
Precisely I need a interpolation function that gives me the displacement of
these points. The input would be the already calculated linear elastic
problem from my earlier example with the node displacements as result.

In the sfepy documentation I found the probing described here:
http://sfepy.org/doc-devel/primer.html#sec-primer

Is this the right way to solve the interpolation? Do you recommend
something different?

Yes, the best is to use FieldVariable.evaluate_at(), which can evaluate a
FE field variable in physical points coordinates (i.e. not reference
element coordinates) - check tests/test_projections.py or
tests/test_mesh_interp.py. Unfortunately, there is no example showing this
feature, just the tests.

r.

Thank you and regards,
Kathrin