Since version 2026, Flux 3D and Flux PEEC are no longer available.
Please use SimLab to create a new 3D project or to import an existing Flux 3D project.
Please use SimLab to create a new PEEC project (not possible to import an existing Flux PEEC project).
/!\ Documentation updates are in progress – some mentions of 3D may still appear.
Periodicity and periodicity conditions on boundaries
Periodicity
When a device has repetitive patterns, it is possible to model a fraction of the device (the basic pattern), and to impose appropriate periodicity conditions on the periodicity planes.
From a physical point of view, periodicity boundary conditions are set via the state variable (potential).
|
Periodicity condition (or cyclic) |
Anti-periodicity condition (or anti-cyclic) |
|---|---|
|
|
| Identical values of the variable on the homologous nodes | Opposite values of the variable on the homologous nodes |
Example
Let's reconsider the preceding example.
The boundary conditions to impose on boundaries 1 and 2 are periodicity conditions:
-
periodic type (or cyclic)
in the 1st case (study domain 1)
-
anti-periodic type (or anti-cyclic)
in the 2nd case (study domain 2 and 2')
|
|
|