Coupled Mixed Poisson

1. Models

The equations of the model are:

u+kp=f1Mpt+u=g

coupled with a system of ODE:

yt+A__(y,t)y=s(y,t)+b(y,t)

where Π1y and the boundary condition:

Γun=PIΠ1Rb on Γ|Γ|pΓp=0 on Γ

with PI=p|Γ.

Most of the configuration is the same as for the Mixed Poisson toolbox, except for the boundary condition where the coupling happens.

2. Boundary Conditions

2.1. Coupling

On the flux/current-density/heat-flux:

Example of a Coupling boundary condition
"Coupling":
{
    "buffer":
    {
        "markers":"top", (1)
        "capacitor": "Cbuffer.C", (2)
        "resistor": "Rbuffer.R", (3)
        "circuit": "$cfgdir/test3d0d_linear/test3d0d_linear.fmu", (4)
        "buffer": "Pi_1.phi" (5)
    }
}
json
1 marker for Γ
2 name of the variable in the FMU for Cb
3 name of the variable in the FMU for Rb
4 path of the FMU
5 name of the variable in the FMU for Π1