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Darcy flow through a channel
This example can be found from [CL07].
1. Running the case
The command line to run this case is :
mpirun -np 4 feelpp_toolbox_mixed-poisson-model --case "github:{repo:toolbox,path:examples/modules/poisson/examples/2Dchannel}"Case option
--case "github:{repo:toolbox,path:examples/modules/poisson/examples/2Dchannel}"
2. Input parameters
| Notation | Quantity | Type | Unit |
|---|---|---|---|
\(\kappa_1\) |
Permeability of \(\Omega_1\) |
scalar |
\(m^2Pa^{-1}s^{-1}\) |
\(\kappa_2\) |
Permeability of \(\Omega_2\) |
idem |
idem |
3. Model & toolbox
We consider a \(100\times100\) square channeled with two poorly porous panes.
The top and bottom boundaries \(\Gamma_{wall}\) are labelled wall, the left inlet \(\Gamma_{left}\) is left and the right outlet \(\Gamma_{right}\) is right. The main porous domain is omega1 while the panes are labeled omega2. The interface is labeled interface.
This example runs within the mixed-poisson toolbox.