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Acta Mechanica Sinica
Erschienen in: Acta Mechanica Sinica 3/2018

02.02.2018 | Research Paper

The dimension split element-free Galerkin method for three-dimensional potential problems

verfasst von: Z. J. Meng, H. Cheng, L. D. Ma, Y. M. Cheng

Erschienen in: Acta Mechanica Sinica | Ausgabe 3/2018

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Abstract

This paper presents the dimension split element-free Galerkin (DSEFG) method for three-dimensional potential problems, and the corresponding formulae are obtained. The main idea of the DSEFG method is that a three-dimensional potential problem can be transformed into a series of two-dimensional problems. For these two-dimensional problems, the improved moving least-squares (IMLS) approximation is applied to construct the shape function, which uses an orthogonal function system with a weight function as the basis functions. The Galerkin weak form is applied to obtain a discretized system equation, and the penalty method is employed to impose the essential boundary condition. The finite difference method is selected in the splitting direction. For the purposes of demonstration, some selected numerical examples are solved using the DSEFG method. The convergence study and error analysis of the DSEFG method are presented. The numerical examples show that the DSEFG method has greater computational precision and computational efficiency than the IEFG method.
Vorheriger Artikel The spanwise spectra in wall-bounded turbulence
Nächster Artikel Zero group velocity longitudinal modes in an isotropic cylinder

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Metadaten
Titel
The dimension split element-free Galerkin method for three-dimensional potential problems
verfasst von
Z. J. Meng
H. Cheng
L. D. Ma
Y. M. Cheng
Publikationsdatum
02.02.2018
Verlag
The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Erschienen in
Acta Mechanica Sinica / Ausgabe 3/2018
Print ISSN: 0567-7718
Elektronische ISSN: 1614-3116
DOI
https://doi.org/10.1007/s10409-017-0747-7

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