Example9 Better Accuracy of the Open Boundary

General

  • The analysis domain other than the sphere is solved with the 2nd-degree open boundary condition.
     

  • The analysis domain near the driving source is solved by FEM. The outside the area is solved by the directivity calculation. As the 2nd-degree open boundary is applicable only to the sphere, Femtet creates the sphere inside the analysis domain and the open boundary is applied to perform analysis.
     

Analysis Conditions

Items

Settings

Solvers

Acoustic Analysis (Mach)

Analysis Space

3D

Analysis Type

Harmonic analysis

Model unit

mm

 

Harmonic Analysis tab and Open Boundary tab are set as follows.

Tabs

Setting Item

Settings

Harmonic Analysis

Sweep Type

Single frequency

Frequency

5×10^9[Hz]

Sweep Setting

Discrete sweep

Open Boundary

Types

Absorbing boundary

Order of Absorbing Boundary

2nd degree degree

Radius of the Open Boundary

0.3[m]

 

  • The inside of the radius of the open boundary is solved by FEM. The outside is solved by the directivity calculation.

 

Graphical Objects

Default value (50) is used for the general mesh size. The left figure below is the analysis object. The area encircled by the dots is analyzed by FEM. The area includes the respiratory sphere as a sound source. By utilizing the symmetry of the analysis model, it is made to be 1/8 model

 

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

2/Solid

AIR

000_Air(*)

* Available from the Material DB

 

Boundary Conditions

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Setting

SYM_X/Face

Symmetry/Continuity

Symmetry

Reflective

SYM_Y/Face

Symmetry/Continuity

Symmetry

Reflective

SYM_Z/Face

Symmetry/Continuity

Symmetry

Reflective

Respiratory sphere/Face

Sound Wave

Pressure

1[Pa]

Outer Boundary Condition

Sound Wave

Rigid Wall

 

 

Results

The sound pressure distribution is shown in the contour below left. The change of the sound pressure between A and B is shown in the graph below right.

To show the contour of the face including the respiratory sphere, ”Full Model” is deselected. The Division Setting is set at “Division Setting” and “100” is set for the Division Number.