Detail publikačního výsledku

Stabilization of a meshless method via weighted least squares filtering

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

Originální název

Stabilization of a meshless method via weighted least squares filtering

Anglický název

Stabilization of a meshless method via weighted least squares filtering

Druh

Článek WoS

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

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

Klíčová slova v angličtině

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

Autoři

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

Rok RIV

2018

Vydáno

30.03.2017

Nakladatel

Elsevier B.V.

ISSN

0045-7825

Periodikum

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Svazek

320

Číslo

6

Stát

Nizozemsko

Strany od

543

Strany do

557

Strany počet

14

URL

http://www.sciencedirect.com/science/article/pii/S004578251630888X

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",
  journal="COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING",
  year="2017",
  volume="320",
  number="6",
  pages="543--557",
  doi="10.1016/j.cma.2017.03.040",
  issn="0045-7825",
  url="http://www.sciencedirect.com/science/article/pii/S004578251630888X"
}