Detail publikace

Stabilization of a meshless method via weighted least squares filtering

BAJKO, J. NIEDOBA, P. ČERMÁK, L. JÍCHA, M.

Anglický název

Stabilization of a meshless method via weighted least squares filtering

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

Originální abstrakt

Stability of a meshless method proposed for strong form of a linear hyperbolic partial differential equation can be ensured via simple filtering procedure in the weighted least squares sense. This approach overcomes the need for the upwind implementation of numerical fluxes and thus employs central-type scheme that is more suitable for methods constructing the approximations on local clouds of points. The behavior of the filter and the overall performance of the method is verified on a set of benchmark problems, where the propagation of acoustic waves is modeled by linearized Euler equations and the results are compared with analytical and/or numerical reference solutions.

Anglický abstrakt

Stability of a meshless method proposed for strong form of a linear hyperbolic partial differential equation can be ensured via simple filtering procedure in the weighted least squares sense. This approach overcomes the need for the upwind implementation of numerical fluxes and thus employs central-type scheme that is more suitable for methods constructing the approximations on local clouds of points. The behavior of the filter and the overall performance of the method is verified on a set of benchmark problems, where the propagation of acoustic waves is modeled by linearized Euler equations and the results are compared with analytical and/or numerical reference solutions.

Klíčová slova anglicky

Meshless method; Weighted least squares; Spatial filtering; Computational aeroacoustics; Linearized Euler equations

Vydáno

30.03.2017

Nakladatel

Elsevier B.V.

ISSN

0045-7825

Ročník

320

Číslo

6

Strany od–do

543–557

Počet stran

14

BIBTEX


@article{BUT134852,
  author="Jaroslav {Bajko} and Pavel {Niedoba} and Libor {Čermák} and Miroslav {Jícha},
  title="Stabilization of a meshless method via weighted least squares filtering",
  year="2017",
  volume="320",
  number="6",
  month="March",
  pages="543--557",
  publisher="Elsevier B.V.",
  issn="0045-7825"
}