- **OpenFOAM Programming & Development**
(*http://www.cfd-online.com/Forums/openfoam-programming-development/*)

- - **displacement current - electrodynamcis**
(*http://www.cfd-online.com/Forums/openfoam-programming-development/94300-displacement-current-electrodynamcis.html*)

displacement current - electrodynamcisHi Foamers,
I just wonder if someone of you has already developed a transient solver that can calculate the ohmic and displacement current, e.g. in a parallel-plate capacitor with a dielectric material that has an electric conductivity > 0. In other words, I would like to solve an equation looking like this: div(J) = 0, where J is the electric current density [A/m2] which is given by J = J_ohmic + J_displacement J = sigma*E + d(D)/dt, where sigma is the electric conductivity [S/m], E the electric field strength [V/m], and D the electric flux density [As/m2] which is differentiated by the time t [s]. The electric flux density D is given by D = epsilon*E, where epsilon is the permittivity in [F/m]. As the electric field strength E can be determined using the electric potential V (E= -grad(V)) the entire equation to be solved can be expressed as: div( sigma*grad(V) + d(epsilon*grad(V))/dt ) = 0 I was spending quite some time trying to develop a solver that can do that. Unfortunately, without success. The time derivative inside the divergence operation is giving me a hard time. Any help would be very appreciated. Cheers, Christian |

All times are GMT -4. The time now is 21:54. |