Coupled Mixed Poisson
1. Models
The equations of the model are:
u+k∇p=f1M∂p∂t+∇⋅u=g
coupled with a system of ODE:
∂y∂t+A__(y,t)y=s(y,t)+b(y,t)
where Π1∈y and the boundary condition:
∫Γu⋅n=PI−Π1Rb on Γ|Γ|p−∫Γp=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 |