Home / Examples / Electric Analysis [Coulomb] / Example 12: Periodic Boundary Condition

Example 12: Periodic Boundary Condition

The basic unit of capacitors, consisting of alumina blocks and electrodes, are periodically placed in the analysis space.
By applying periodic boundary conditions, the analysis area can be minimized.
The distributions of electric field and electric potential are solved.
Unless specified in the list below, the default conditions will be applied.

Select "Static analysis" as the electric potential is static.

Item	Settings
Solver	Electric Analysis [Coulomb]
Analysis Type	Static Analysis (Capacitance)
Mesh/Meshing Control	Select Use Mesher G1 *
Options	N/A

*As the default setting of Mesher G2 can not handle the periodic boundary condition for more than one pair, Mesher G1 is applied.

Disable automatic creation of the air domain.

Tab	Setting Item	Settings
Mesh Tab	Automatic Ambient Air Creation	Create ambient air automatically: Deselect

The base unit of the periodic structure is modeled.

* Available from the material DB

Boundary Condition Name/Topology	Tab	Boundary Condition Type	Settings
V1/Face	Electric	Electric Wall	Electric Potential Specified 1 [V]
V2/Face	Electric	Electric Wall	Electric Potential Specified 0 [V]
Periodical1	Symmetry/Continuity		Periodic
Periodical2	Symmetry/Continuity		Periodic
Periodical3	Symmetry/Continuity		Periodic
Periodical4	Symmetry/Continuity		Periodic

On the [Model] tab,

click [Boundary Pair] and complete the pairing as follows.

List of Pairs

Periodical1 - Periodical2

Periodical3 - Periodical4

The vectors of the electric field are shown below.

The isoline contour of the electric potential is shown below.

The paired faces of the periodic boundary conditions have the same values,

which proves that the solution is correct.

For comparison, the potential is calculated under the magnetic wall boundary condition.

The resulting isoline contour is shown below.