### Abstract

Original language | Undefined |
---|---|

Title of host publication | International Congress on Sound and Vibration (cd-rom) |

Editors | M Pawełczyk |

Place of Publication | Kraków |

Publisher | International Institute of Acoustics and Vibration |

Pages | - |

Number of pages | 8 |

Publication status | Published - 2009 |

Event | 16th International Congress on Sound and Vibration, ICSV 2009 - Kraków, Poland Duration: 5 Jul 2009 → 9 Jul 2009 Conference number: 16 https://www.iiav.org/icsv16/ |

### Conference

Conference | 16th International Congress on Sound and Vibration, ICSV 2009 |
---|---|

Abbreviated title | ICSV |

Country | Poland |

City | Kraków |

Period | 5/07/09 → 9/07/09 |

Internet address |

### Keywords

- METIS-262716
- IR-69343

### Cite this

*International Congress on Sound and Vibration (cd-rom)*(pp. -). Kraków: International Institute of Acoustics and Vibration.

}

*International Congress on Sound and Vibration (cd-rom).*International Institute of Acoustics and Vibration, Kraków, pp. -, 16th International Congress on Sound and Vibration, ICSV 2009, Kraków, Poland, 5/07/09.

**A two step viscothermal acoustic FE method.** / Kampinga, W.R.; Wijnant, Ysbrand H.; de Boer, Andries.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - A two step viscothermal acoustic FE method

AU - Kampinga, W.R.

AU - Wijnant, Ysbrand H.

AU - de Boer, Andries

PY - 2009

Y1 - 2009

N2 - Previously, the authors presented a finite element for viscothermal acoustics. This element has the velocity vector, the temperature and the pressure as degrees of freedom. It can be used, for example, to model sound propagation in miniature acoustical transducers. Unfortunately, the large number of coupled degrees of freedom can make the models big and time consuming to solve. A method with reduced calculation time has been developed. It is possible to partially decouple the temperature degree of freedom, as result of the differences in the characteristic length scales of acoustics and heat conduction. This leads to a method that uses two sequential steps. In the first step, a scalar field containing information about the thermal effects is calculated (not the temperature). This is a relatively small FE calculation. In the second step, the actual viscothermal acoustical equations are solved. This calculation uses the field calculated in the first step and has the velocity vector and the pressure as the degrees of freedom. The temperature is not a degree of freedom anymore, but it can be easily calculated in a post processing step. The required computational effort is reduced significantly, while the difference in the results, compared to the fully coupled method, is negligible. Along with the theoretical basis for the method, a specific FE calculation is presented to illustrate its accuracy and improvement in calculation time.

AB - Previously, the authors presented a finite element for viscothermal acoustics. This element has the velocity vector, the temperature and the pressure as degrees of freedom. It can be used, for example, to model sound propagation in miniature acoustical transducers. Unfortunately, the large number of coupled degrees of freedom can make the models big and time consuming to solve. A method with reduced calculation time has been developed. It is possible to partially decouple the temperature degree of freedom, as result of the differences in the characteristic length scales of acoustics and heat conduction. This leads to a method that uses two sequential steps. In the first step, a scalar field containing information about the thermal effects is calculated (not the temperature). This is a relatively small FE calculation. In the second step, the actual viscothermal acoustical equations are solved. This calculation uses the field calculated in the first step and has the velocity vector and the pressure as the degrees of freedom. The temperature is not a degree of freedom anymore, but it can be easily calculated in a post processing step. The required computational effort is reduced significantly, while the difference in the results, compared to the fully coupled method, is negligible. Along with the theoretical basis for the method, a specific FE calculation is presented to illustrate its accuracy and improvement in calculation time.

KW - METIS-262716

KW - IR-69343

M3 - Conference contribution

SP - -

BT - International Congress on Sound and Vibration (cd-rom)

A2 - Pawełczyk, M

PB - International Institute of Acoustics and Vibration

CY - Kraków

ER -