Publication detail
A Meshless Method for the Acoustic Wave Propagation with the Weighted Least Squares Filtering
BAJKO, J. ČERMÁK, L. JÍCHA, M.
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 in English
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–to
1628–1639
Pages count
12
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",
booktitle="Proceedings of the INTER-NOISE 2016: 45th International Congress and Exposition on Noise Control Engineering",
year="2016",
month="August",
pages="1628--1639",
isbn="978-3-939296-11-9"
}