On the use of Brinkman penalization method for computation of acoustic scattering from complex boundaries

Youngmin Bae, Young June Moon

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this study, a Brinkman penalization method (BPM) is extended for prediction of acoustic scattering from complex geometries. The main idea of the BPM is to model the solid obstacle as a porous material with zero porosity and permeability. With the aim of increasing the spatial accuracy at the immersed boundaries, computation is carried out on the boundary-fitted Cartesian-like grid with a high-order compact scheme combined with one-side differencing/filtering technique at the boundaries, while a slip boundary condition at the wall is imposed by introducing the 'anisotropic' penalization terms to the momentum equations. Several test cases are considered to demonstrate the accuracy, robustness and feasibility of the BPM. Numerical results are in excellent agreement with the analytic solutions for single and two cylinder scattering problems. The present BPM is then used to solve the acoustic scattering from a three-element high-lift wing (30P30N model).

Original languageEnglish
Pages (from-to)48-56
Number of pages9
JournalComputers and Fluids
Volume55
DOIs
Publication statusPublished - 2012 Feb 15

Fingerprint

Acoustics
Scattering
Porous materials
Momentum
Porosity
Boundary conditions
Geometry

Keywords

  • Acoustic scattering
  • Brinkman penalization method
  • Porous media

ASJC Scopus subject areas

  • Computer Science(all)
  • Engineering(all)

Cite this

On the use of Brinkman penalization method for computation of acoustic scattering from complex boundaries. / Bae, Youngmin; Moon, Young June.

In: Computers and Fluids, Vol. 55, 15.02.2012, p. 48-56.

Research output: Contribution to journalArticle

@article{ed61739899904ccda48301157f5bf486,
title = "On the use of Brinkman penalization method for computation of acoustic scattering from complex boundaries",
abstract = "In this study, a Brinkman penalization method (BPM) is extended for prediction of acoustic scattering from complex geometries. The main idea of the BPM is to model the solid obstacle as a porous material with zero porosity and permeability. With the aim of increasing the spatial accuracy at the immersed boundaries, computation is carried out on the boundary-fitted Cartesian-like grid with a high-order compact scheme combined with one-side differencing/filtering technique at the boundaries, while a slip boundary condition at the wall is imposed by introducing the 'anisotropic' penalization terms to the momentum equations. Several test cases are considered to demonstrate the accuracy, robustness and feasibility of the BPM. Numerical results are in excellent agreement with the analytic solutions for single and two cylinder scattering problems. The present BPM is then used to solve the acoustic scattering from a three-element high-lift wing (30P30N model).",
keywords = "Acoustic scattering, Brinkman penalization method, Porous media",
author = "Youngmin Bae and Moon, {Young June}",
year = "2012",
month = "2",
day = "15",
doi = "10.1016/j.compfluid.2011.10.015",
language = "English",
volume = "55",
pages = "48--56",
journal = "Computers and Fluids",
issn = "0045-7930",
publisher = "Elsevier Limited",

}

TY - JOUR

T1 - On the use of Brinkman penalization method for computation of acoustic scattering from complex boundaries

AU - Bae, Youngmin

AU - Moon, Young June

PY - 2012/2/15

Y1 - 2012/2/15

N2 - In this study, a Brinkman penalization method (BPM) is extended for prediction of acoustic scattering from complex geometries. The main idea of the BPM is to model the solid obstacle as a porous material with zero porosity and permeability. With the aim of increasing the spatial accuracy at the immersed boundaries, computation is carried out on the boundary-fitted Cartesian-like grid with a high-order compact scheme combined with one-side differencing/filtering technique at the boundaries, while a slip boundary condition at the wall is imposed by introducing the 'anisotropic' penalization terms to the momentum equations. Several test cases are considered to demonstrate the accuracy, robustness and feasibility of the BPM. Numerical results are in excellent agreement with the analytic solutions for single and two cylinder scattering problems. The present BPM is then used to solve the acoustic scattering from a three-element high-lift wing (30P30N model).

AB - In this study, a Brinkman penalization method (BPM) is extended for prediction of acoustic scattering from complex geometries. The main idea of the BPM is to model the solid obstacle as a porous material with zero porosity and permeability. With the aim of increasing the spatial accuracy at the immersed boundaries, computation is carried out on the boundary-fitted Cartesian-like grid with a high-order compact scheme combined with one-side differencing/filtering technique at the boundaries, while a slip boundary condition at the wall is imposed by introducing the 'anisotropic' penalization terms to the momentum equations. Several test cases are considered to demonstrate the accuracy, robustness and feasibility of the BPM. Numerical results are in excellent agreement with the analytic solutions for single and two cylinder scattering problems. The present BPM is then used to solve the acoustic scattering from a three-element high-lift wing (30P30N model).

KW - Acoustic scattering

KW - Brinkman penalization method

KW - Porous media

UR - http://www.scopus.com/inward/record.url?scp=84655167116&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84655167116&partnerID=8YFLogxK

U2 - 10.1016/j.compfluid.2011.10.015

DO - 10.1016/j.compfluid.2011.10.015

M3 - Article

AN - SCOPUS:84655167116

VL - 55

SP - 48

EP - 56

JO - Computers and Fluids

JF - Computers and Fluids

SN - 0045-7930

ER -