Stabilization of a meshless method via weighted least squares filtering

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F17%3APU123305" target="_blank" >RIV/00216305:26210/17:PU123305 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S004578251630888X" target="_blank" >http://www.sciencedirect.com/science/article/pii/S004578251630888X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cma.2017.03.040" target="_blank" >10.1016/j.cma.2017.03.040</a>

Result language
angličtina
Original language name
Stabilization of a meshless method via weighted least squares filtering
Original language description
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.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10307 - Acoustics

Project
<a href="/en/project/GA13-27505S" target="_blank" >GA13-27505S: Meshfree technique with Large Eddy Simulation for fluid dynamics and computational aeroacoustics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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