Dear Etienne Ahusborde,

Sorry for the last email, and I wish you an excellent new year.

I only tested Mandel’s problem using coupled and fixed-stress methods and got 
similar results. Both methods show the same error. Maybe it is related to the 
different discretizations. The main concern is whether the two methods return 
the same results and if one can benefit in terms of computational efficiency.

In the fixed-stress method, the two subproblems are implicitly solved and 
exchange porosity(el->2p) and effectivePorepressure (2p->el) in each iteration. 
However, less attention is paid to discretization. Porosity is evaluated at the 
cell center, while the constant pore pressure in each subcontrol volume is 
identical to that of the corresponding element in the flow problem. No 
additional interpolation is performed.

Regarding the convergence problem, did you try the initial run (constant pore 
pressure) for initial displacement in your simulation, or how do you handle 
your initial values in the poromech problem when the Neumann boundary condition 
is set?

Best regards,

Yue Wang

********************************************************
Yue Wang
Universitaet Stuttgart
Institut fuer Wasser- und Umweltsystemmodellierung
Lehrstuhl fuer Hydromechanik und Hydrosystemmodellierung
Pfaffenwaldring 61, 70569 Stuttgart
Tel.: 0711/685-64899
[email protected]<mailto:[email protected]>
https://www.iws.uni-stuttgart.de/lh2/
********************************************************

On 5. Jan 2023, at 14:42, Etienne Ahusborde 
<[email protected]<mailto:[email protected]>> wrote:



Dear Dumux community,

First, we wish you an happy new year.

Since our last questions about flow and poromechanical coupling on Mandel 
problem, thanks to the help of Yue Wang, we have been able to perform 
simulations by using the coupling manager for fully implicit approach and we 
greatly thank you for that.

Then we tried to reproduce in version 3.5 the test case « 4.2 CO2 injection 
heterogeneous » proposed by Beck in Accuracy of fully coupled and sequential 
approaches for modeling hydro- and geomechanical processes, Computational 
Geosciences (2020) 24:1707–1723.

We used the implicit model el2p from multidomain example. We looked in details 
the source of the code in version 2.12 but when we tried to consider the same 
boundary conditions in version 3.5, we obtain some convergence issues. The only 
solution to reach solver convergence is to impose Dirichlet conditions on all 
boundaries for all displacements but results are obviously different.

Has somebody already tried to perform this case in a recent version of DUMUX?


Moreover, we would like to compare the results using implicit and sequential 
approach by using a fixed stress scheme where the two sub-problems (flow and 
poromechanics) are decoupled and solved sequentially. Unfortunately we are 
facing some difficulties on how to set up communications between the two 
sub-problems.

Like the flow problem is solved with a cell-centered scheme, we need to 
extrapolate the pressure in order to express it from cell to vertex. This is 
necessary to pass it as argument to the poromechanics problem which is 
formulated with the box method (vertex).

The same problem occur in the other direction, from poromechanical problem to 
flow problem where an interpolation is necessary to pass from vertex data to 
cell data.

Are there some existing tools in DUMUX to make some conversions in a simple way 
?

Thank you for your answer

Best regards

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