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Modified Method of Regularized Sources for potential flow
ID Rek, Zlatko (Avtor), ID Zahoor, Rizwan (Avtor), ID Šarler, Božidar (Avtor)

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Izvleček
This paper describes the development of the Method of Regularized Sources for potential flow problems. It is based on the modification of the fundamental solution near the source point by replacing the singularity with a blob in form of a steep rational function. This allows to solve the problems in the same way as with Method of Fundamental Solutions, however without an artificial boundary. Method of Regularized Sources gives excellent results for Dirichlet boundary conditions, however it fails for Neumann boundary conditions. To overcome this problem are the source point positions on the segments of the boundary with Neumann boundary positions placed close to the collocation points. This approach somehow represents a blending of the Method of Regularized Sources and the classical Method of Fundamental Solutions. The novel approach is characterized by two free parameters; the blob thickness and the artificial boundary displacement position. A two-dimensional numerical example of potential flow around circle is analyzed in detail regarding these two free parameters. The modified Method of Regularized Sources gives even more accurate results for potential and derivatives than the Method of Fundamental Solutions. The source point can be placed 2–25 times closer to the boundary collocation points than with the classical Method of Fundamental Solutions and thus reduces the problem of the placement of the artificial boundary.

Jezik:Angleški jezik
Ključne besede:Method of Fundamental Solutions, Method of Regularized Sources, potential flow, Neumann boundary conditions
Vrsta gradiva:Članek v reviji (dk_c)
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FS - Fakulteta za strojništvo
Leto izida:2021
Status objave pri reviji:Objavljeno
Verzija članka:Založnikova različica članka
Št. strani:Str. 110-119
Številčenje:Vol. 88
PID:20.500.12556/RUL-137772 Povezava se odpre v novem oknu
UDK:519.61(045)
ISSN pri članku:0898-1221
DOI:10.1016/j.camwa.2020.05.022 Povezava se odpre v novem oknu
COBISS.SI-ID:20067843 Povezava se odpre v novem oknu
Datum objave v RUL:30.06.2022
Število ogledov:94
Število prenosov:38
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Gradivo je del revije

Naslov:Computers & Mathematics with Applications
Skrajšan naslov:Comput. math. appl.
Založnik:Pergamon Press
ISSN:0898-1221
COBISS.SI-ID:15336965 Povezava se odpre v novem oknu

Licence

Licenca:CC BY-NC-ND 4.0, Creative Commons Priznanje avtorstva-Nekomercialno-Brez predelav 4.0 Mednarodna
Povezava:http://creativecommons.org/licenses/by-nc-nd/4.0/deed.sl
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Sekundarni jezik

Jezik:Slovenski jezik
Ključne besede:metoda temeljnih rešitev, metoda regulariziranih izvorov, potencialni tok, Neumannovi robni pogoji

Projekti

Financer:Drugi - Drug financer ali več financerjev
Program financ.:DESY
Naslov:Innovative Methods for the Imaging with the Use of X-ray Free Electron Laser (XFEL) and Synchrotron Sources

Financer:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Številka projekta:J2-1718
Naslov:Napredno brezmrežno modeliranje in simulacija večfaznih sistemov

Financer:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Številka projekta:P2-0162
Naslov:Tranzientni dvofazni tokovi

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