Periodic Boundary Conditionexamples|products|Murata Software Co., Ltd.

Example12 Periodic Boundary Condition

General

  • The unit 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 potential are solved.
     

  • Unless specified in the list below, the default conditions will be applied.
     

 

Analysis Space

Item

Settings

Analysis Space

3D

Model unit

mm

 

Analysis Conditions

Select “Static analysis” as the potential is static.

Item

Settings

Solvers

Electric Field Analysis [Coulomb]

Analysis Type

Static analysis

Material Type

Dielectric material

Options

N/A

 

Create the ambient air manually. Deselect the automatic creation.

Tab

Setting Item

Settings

Mesh Tab

Ambient Air Creation

Create ambient air automatically: Deselect

Model

The base unit of the periodic structure is modeled.

 

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

0/Solid

Air

000_Air(*)

2/Solid

Block

001_Alumina *

3/Solid

Block

001_Alumina *

* Available from the Material DB

Boundary Conditions

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Settings

V1/Face

Electric

Electric wall

Voltage specified, 1[V]

V2/Face

Electric

Electric wall

Voltage 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

Results

The vectors of the electric field are shown below.

 

The isoline contour of the 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.