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NIEDOBA, P. ČERMÁK, L. JÍCHA, M.
Original Title
Meshfree methods for computational fluid dynamics
Type
conference paper
Language
English
Original Abstract
The paper deals with the convergence problem of the SPH (Smoothed Particle Hydrodynamics) meshfree method for the solution of fluid dynamics tasks. In the introductory part, fundamental aspects of meshfree methods, their definition, computational approaches and classification are discussed. In the following part, the methods of local integral representation, where SPH belongs are analyzed and specifically the method RKPM (Reproducing Kernel Particle Method) is described. In the contribution, also the influence of boundary conditions on the SPH approximation consistence is analyzed, which has a direct impact on the convergence of the method. A classical boundary condition in the form of virtual particles does not ensure a sufficient order of consistence near the boundary of the definition domain of the task. This problem is solved by using ghost particles as a boundary condition, which was implemented into the SPH code as part of this work. Further, several numerical aspects linked with the SPH method are described. In the concluding part, results are presented of the application of the SPH method with ghost particles to the 2D shock tube example. Also results of tests of several parameters and modifications of the SPH code are shown.
Keywords
Meshfree methods, SPH method, consistency, convergence, ghost particles, virtual particles, shock tube
Authors
NIEDOBA, P.; ČERMÁK, L.; JÍCHA, M.
RIV year
2012
Released
20. 11. 2012
Publisher
EDP Sciences
Location
Hradec Králové
ISBN
978-80-7372-912-7
Book
EPJ Web of Conferences
2100-014X
Periodical
Year of study
45
Number
1
State
French Republic
Pages from
506
Pages to
511
Pages count
6
URL
https://www.epj-conferences.org/articles/epjconf/abs/2013/06/epjconf_efm2013_01068/epjconf_efm2013_01068.html
Full text in the Digital Library
http://hdl.handle.net/11012/193658
BibTex
@inproceedings{BUT95356, author="Pavel {Niedoba} and Libor {Čermák} and Miroslav {Jícha}", title="Meshfree methods for computational fluid dynamics", booktitle="EPJ Web of Conferences", year="2012", journal="EPJ Web of Conferences", volume="45", number="1", pages="506--511", publisher="EDP Sciences", address="Hradec Králové", doi="10.1051/epjconf/20134501068", isbn="978-80-7372-912-7", issn="2100-014X", url="https://www.epj-conferences.org/articles/epjconf/abs/2013/06/epjconf_efm2013_01068/epjconf_efm2013_01068.html" }