Publication detail

A Meshless Method for the Acoustic Wave Propagation with the Weighted Least Squares Filtering

BAJKO, J. ČERMÁK, L. JÍCHA, M.

Original Title

A Meshless Method for the Acoustic Wave Propagation with the Weighted Least Squares Filtering

English Title

A Meshless Method for the Acoustic Wave Propagation with the Weighted Least Squares Filtering

Type

conference paper

Language

en

Original Abstract

Meshless methods based on the collocation of hyperbolic equations are commonly stabilized using upwind approximation of the derivatives. This approach leads to stabilization of the numerical scheme, but its accuracy is significantly reduced by dissipation. For linear systems, however, high order of accuracy can be achieved by using central-type schemes and the stability of the numerical method can be ensured via filtering of the numerical solution. We present a simulation of the acoustic wave propagation phenomenon using meshless method that solves the Linearized Euler equations with the Weighted least squares filtering.

English abstract

Meshless methods based on the collocation of hyperbolic equations are commonly stabilized using upwind approximation of the derivatives. This approach leads to stabilization of the numerical scheme, but its accuracy is significantly reduced by dissipation. For linear systems, however, high order of accuracy can be achieved by using central-type schemes and the stability of the numerical method can be ensured via filtering of the numerical solution. We present a simulation of the acoustic wave propagation phenomenon using meshless method that solves the Linearized Euler equations with the Weighted least squares filtering.

Keywords

Meshless methods; Acoustic wave propagation; Weighted least squares

Released

25.08.2016

ISBN

978-3-939296-11-9

Book

Proceedings of the INTER-NOISE 2016: 45th International Congress and Exposition on Noise Control Engineering

Pages from

1628

Pages to

1639

Pages count

12

URL

BibTex


@inproceedings{BUT129685,
  author="Jaroslav {Bajko} and Libor {Čermák} and Miroslav {Jícha}",
  title="A Meshless Method for the Acoustic Wave Propagation with the Weighted Least Squares Filtering",
  annote="Meshless methods based on the collocation of hyperbolic equations are commonly stabilized using upwind
approximation of the derivatives. This approach leads to stabilization of the numerical scheme, but its accuracy
is significantly reduced by dissipation. For linear systems, however, high order of accuracy can be
achieved by using central-type schemes and the stability of the numerical method can be ensured via filtering
of the numerical solution. We present a simulation of the acoustic wave propagation phenomenon using
meshless method that solves the Linearized Euler equations with the Weighted least squares filtering.",
  booktitle="Proceedings of the INTER-NOISE 2016: 45th International Congress and Exposition on Noise Control Engineering",
  chapter="129685",
  howpublished="online",
  year="2016",
  month="august",
  pages="1628--1639",
  type="conference paper"
}