Dear Georg,

If I understand correctly this means that whatever is on an outflow boundary is allowed to flow out or into the system. So if we assume pure fickian diffusion and the concentration in the domain is higher than on the boundary stuff will flow out while it is vice versa if the concentration is lower. If that is the case, what exactly is the difference to a Dirichlet boundary condition? As far as I see, with this type of boundary condition I would keep e.g. a concentration on the boundary constant. Am I correct?
In the case of pure fickian diffusion (no advection i.e. constant pressure) the concentration at your outflow boundary would increase until the concentration gradient is zero i.e. no more flow. The difference between a Dirchlet boundary is that your concentration at the boundary dof is allowed to change with an outflow BC.

Consider this example where the outflow boundary is more useful:
1d flow and transport in a tube (model: 1p2c). Left boundary has Neumann BC with fluid entering at a certain conentration. The right boundary has a Dirichlet BC for pressure (constant velocity in the tube) and an outflow boundary for the transported component. If the BC for the transported component were Dirichlet the concentration would stay at zero. With the outflow BC the concentration may increase at the boundary dof and the component may leave the domain through the advective flux. See also the test/implicit/1p2coutflowproblem.

Best regards
Alex


On 07/31/2015 02:47 PM, [email protected] wrote:

Dear Alex,

Thanks for your reply!

/“I am not sure if I got you right, you want to have a fixed Saturation (Dirichlet) for one phase and inject another phase? In Dumux you can choose the equation that should be replaced by the Dirichlet condition with the call:

setDirichlet(int pvIdx, int eqIdx)

The equation you choose cannot be assigned to a Neumann BC anymore.
The rest of the equations can be assigned as Neumann BCs.

Maybe you could list the type of BC you would like to have for each equation?”

///

I found a workaround to calculate the fluxes at the outlet of my system, so now I set Dirichlet conditions at the inlet and solDependentNeumann conditions at the outlet. This should work.

“For the box method the outflow condition uses the gradients evaluated at the integration point of the boundary face to calculate the flux out of the domain for the equation you choose.”

If I understand correctly this means that whatever is on an outflow boundary is allowed to flow out or into the system. So if we assume pure fickian diffusion and the concentration in the domain is higher than on the boundary stuff will flow out while it is vice versa if the concentration is lower. If that is the case, what exactly is the difference to a Dirichlet boundary condition? As far as I see, with this type of boundary condition I would keep e.g. a concentration on the boundary constant. Am I correct?

Best regards

Georg

*Von:*Dumux [mailto:[email protected]] *Im Auftrag von *Alexander Kissinger
*Gesendet:* Donnerstag, 30. Juli 2015 08:53
*An:* DuMuX User Forum
*Betreff:* Re: [DuMuX] Boundary conditions

Dear Georg,

I am not sure if I got you right, you want to have a fixed Saturation (Dirichlet) for one phase and inject another phase? In Dumux you can choose the equation that should be replaced by the Dirichlet condition with the call:

setDirichlet(int pvIdx, int eqIdx)

The equation you choose cannot be assigned to a Neumann BC anymore.
The rest of the equations can be assigned as Neumann BCs.

Maybe you could list the type of BC you would like to have for each equation?


Secondly, I stumbled across the outflow boundary condition recently what is the physical idea behind this type of boundary condition?

For the box method the outflow condition uses the gradients evaluated at the integration point of the boundary face to calculate the flux out of the domain for the equation you choose.

Best regards
Alex



On 29.07.2015 16:14, [email protected] <mailto:[email protected]> wrote:

    Hello Dumux,

    I am working with the (implicit, box) mpnc-model with a 2p5c
    fluidsystem and I would like to specify the following inlet
    boundary conditions to my system: gas pressure, saturation and
    phase composition. This can be done with a Dirichlet condition and
    it works fine. But additionally, I would like to set the gas flux
    into the model domain (basically the pressure gradient) which
    would mean setting a Neumann boundary condition. Is there a way to
    do this in Dumux?

    Secondly, I stumbled across the outflow boundary condition
    recently what is the physical idea behind this type of boundary
    condition?

    Thanks for your help!

    Georg Futter

    ——————————————————————————

    *German Aerospace Center *(DLR)

    Institute of Engineering Thermodynamics | Computational
    Electrochemistry | Pfaffenwaldring 38-40 | 70569 Stuttgart

    Dipl.-Ing. *Georg Futter* | Ph.D. student

    Telefon 0711/6862-8135 | [email protected]
    <mailto:[email protected]>

    www.DLR.de <http://www.dlr.de/>




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