A three-dimensional acoustic Boundary Element Method formulation with viscous and thermal losses based on shape function derivatives

Research output: Contribution to journalJournal article – Annual report year: 2018Researchpeer-review

Standard

A three-dimensional acoustic Boundary Element Method formulation with viscous and thermal losses based on shape function derivatives. / Cutanda Henriquez, Vicente; Andersen, Peter Risby.

In: Journal of Computational Acoustics, Vol. 26, No. 3, 2018.

Research output: Contribution to journalJournal article – Annual report year: 2018Researchpeer-review

Harvard

APA

CBE

MLA

Vancouver

Author

Bibtex

@article{0650cb8b3dea49c98af6b85926aa327e,
title = "A three-dimensional acoustic Boundary Element Method formulation with viscous and thermal losses based on shape function derivatives",
abstract = "Sound waves in fluids are subject to viscous and thermal losses, which are particularly relevant in the so-called viscous and thermal boundary layers at the boundaries, with thicknesses in the micrometer range at audible frequencies. Small devices such as acoustic transducers or hearing aids must then be modeled with numerical methods that include losses. In recent years, versions of both the Finite Element Method (FEM) and the Boundary Element Method (BEM) including viscous and thermallosses have been developed. This paper deals with an improved formulation in three dimensions of the BEM with losses which avoids the calculation of tangential derivatives on the surface by finite differences used in a previous BEM implementation. Instead, the tangential derivatives are obtained from the element shape functions. The improved implementation is demonstrated using an oscillating sphere, where an analytical solution exists, and a condenser microphone as test cases.",
keywords = "Boundary element method, Viscous and thermal acoustic losses",
author = "{Cutanda Henriquez}, Vicente and Andersen, {Peter Risby}",
year = "2018",
doi = "10.1142/S2591728518500391",
language = "English",
volume = "26",
journal = "Journal of Computational Acoustics",
issn = "0218-396X",
publisher = "World Scientific",
number = "3",

}

RIS

TY - JOUR

T1 - A three-dimensional acoustic Boundary Element Method formulation with viscous and thermal losses based on shape function derivatives

AU - Cutanda Henriquez, Vicente

AU - Andersen, Peter Risby

PY - 2018

Y1 - 2018

N2 - Sound waves in fluids are subject to viscous and thermal losses, which are particularly relevant in the so-called viscous and thermal boundary layers at the boundaries, with thicknesses in the micrometer range at audible frequencies. Small devices such as acoustic transducers or hearing aids must then be modeled with numerical methods that include losses. In recent years, versions of both the Finite Element Method (FEM) and the Boundary Element Method (BEM) including viscous and thermallosses have been developed. This paper deals with an improved formulation in three dimensions of the BEM with losses which avoids the calculation of tangential derivatives on the surface by finite differences used in a previous BEM implementation. Instead, the tangential derivatives are obtained from the element shape functions. The improved implementation is demonstrated using an oscillating sphere, where an analytical solution exists, and a condenser microphone as test cases.

AB - Sound waves in fluids are subject to viscous and thermal losses, which are particularly relevant in the so-called viscous and thermal boundary layers at the boundaries, with thicknesses in the micrometer range at audible frequencies. Small devices such as acoustic transducers or hearing aids must then be modeled with numerical methods that include losses. In recent years, versions of both the Finite Element Method (FEM) and the Boundary Element Method (BEM) including viscous and thermallosses have been developed. This paper deals with an improved formulation in three dimensions of the BEM with losses which avoids the calculation of tangential derivatives on the surface by finite differences used in a previous BEM implementation. Instead, the tangential derivatives are obtained from the element shape functions. The improved implementation is demonstrated using an oscillating sphere, where an analytical solution exists, and a condenser microphone as test cases.

KW - Boundary element method

KW - Viscous and thermal acoustic losses

U2 - 10.1142/S2591728518500391

DO - 10.1142/S2591728518500391

M3 - Journal article

VL - 26

JO - Journal of Computational Acoustics

JF - Journal of Computational Acoustics

SN - 0218-396X

IS - 3

ER -