Hi Tri Dat,

On 22.07.2016 18:41, NGO Tri Dat wrote:

Hi Timo,

Thank you for your feedback!

For information, I have also a simulation of 2p flow in another 2d-in-3d DFN.

I considered the behavior of a LNAPL plume in a medium initially saturated with water, hydrostatic pressure for initial condition (figure 1 & 2).

A no-flow Neumann BC is prescribed for the top and the bottom faces, and Dirichlet BC otherwise.

Did you run that with Dumux?

The simulation run correctly (saturation Sn at the final time of simulation, figure 3) but I got a strange pressure field at a fracture which is always saturated in water (figure 4).

I’m not sure that this problem is due to boundary condition or the condition at the intersection between fractures. In addition, the distribution of fluxes at the intersections between fractures when using the box method is not very clear for me. Is the mass conservation at these locations ensured with box method?

Mass conservation should come naturally with the box method at intersections. As the degrees of freedom are on the intersection you enforce continuity of pressure. The fluxes are only computed on the box boundaries with are inside the elements meeting at the intersection. The box control volume basically spans over all three (or more) intersecting elements at the fracture joint. So without doing anything special the box method should ensure mass conservation here.

If you use cell-centered finite volumes this is different. First, the gradients in the current dumux master branch would be approximated incorrectly in a 2d in 3d setting (basically cutting over the edge at an intersection). Secondly, the intersections with neighboring elements of the other two (or more) fracture will be handled as independent intersections. So to ensure the flow is spreading right you would have to take care about mass conservation yourself. A common approach (at least for one-phase flow, I'm not sure about 2-phase flow) is a star-delta type analogy from electrical engineering. The flow (at an intersection with three or more fractures) from one element to another then depends on transmissibilities of all participating fractures.

Best wishes,
Timo

 Kind regards,

Tri Dat

*De :*Timo Koch [mailto:timo.k...@iws.uni-stuttgart.de]
*Envoyé :* vendredi 22 juillet 2016 17:39
*À :* DuMuX User Forum; NGO Tri Dat
*Objet :* Re: [DuMuX] Convergence problem with FoamGrid 2D3D + Box method

Hi Tri Dat,

Bernd was right and you were probably the first one computing on a 2d in 3d grid with box.

I looked into it today. The box sub control volume face computed the wrong normal for dim=2 and dimWorld=3.

I fixed this on a branch feature/ *discrete-fracture-2d3d-test <https://git.iws.uni-stuttgart.de/dumux-repositories/dumux/commits/feature/discrete-fracture-2d3d-test>*. This makes everything converge for my little fracture network. However, something on the boundaries looks still strange (saturation greater than 1, I tested the 2p model).

I implemented the same problem on our feature/globalvectors branch that has some major changes and improvements over the current version. There,

everything looked fine.

We have to look into the issue on the boundaries, so stay tuned.

Best wishes

Timo

On 22.07.2016 14:15, NGO Tri Dat wrote:

    Hi Bernd,

    You can find, in the attached file, the source files of the test case.

    Please let me know if you cannot compile the program.

    Thank you for your help.

    Kind regards,

    Tri Dat

    *De :*Dumux [mailto:dumux-boun...@listserv.uni-stuttgart.de] *De
    la part de* Bernd Flemisch
    *Envoyé :* vendredi 22 juillet 2016 12:09
    *À :* DuMuX User Forum
    *Objet :* Re: [DuMuX] Convergence problem with FoamGrid 2D3D + Box
    method

    Hi Tri Dat,

    you might be the first one that tries to run Dumux on a
    non-manifold 2d-in-3d grid, so I'm not that surprised that you run
    into problems. Can you send me the grid, problem, spatialparams
    and main files so that we can have a closer look?

    Kind regards
    Bernd

    On 07/22/2016 11:51 AM, NGO Tri Dat wrote:

        Hi Dumuxers,

        I have a convergence problem with my simulations of 1p flow in
        a DFN using FoamGrid (as in the attached file). The fractures
        is 2D embedded in a 3D bloc of 100x100x8 m^3. The matrix is
        assumed to be impervious. A pressure gradient is prescribed
        along the X-axis. Box method and AMG Backend are used.

        The error message is:

        /Dune reported error: Dune::MathError
        
[timeIntegration:/work/irlin104_1/ngotr/DUNE/dumux-2.9.0/dumux/implicit/problem.hh:662]:
        Newton solver didn't converge after 10 time-step divisions.
        dt=9.76563e-14. The solutions of the current and the previous
        time steps have been saved to restart files./

        Any hints will be greatly appreciated.

        Kind regards,

        Tri Dat Ngo

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Timo Koch                      phone: +49 711 685 64676
IWS, Universität Stuttgart     fax:   +49 711 685 60430
Pfaffenwaldring 61             email:timo.k...@iws.uni-stuttgart.de 
<mailto:timo.k...@iws.uni-stuttgart.de>
D-70569 Stuttgart              url:www.hydrosys.uni-stuttgart.de 
<http://www.hydrosys.uni-stuttgart.de>
____________________________________________________________________

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