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Modified Method of Regularized Sources for potential flow
ID
Rek, Zlatko
(
Avtor
),
ID
Zahoor, Rizwan
(
Avtor
),
ID
Šarler, Božidar
(
Avtor
)
PDF - Predstavitvena datoteka,
prenos
(1,10 MB)
MD5: 2E384B8DD984E95C88C19D2C4FCE7F04
URL - Izvorni URL, za dostop obiščite
https://www.sciencedirect.com/science/article/pii/S0898122120302443
Galerija slik
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
Tipologija:
1.01 - Izvirni znanstveni članek
Organizacija:
FS - Fakulteta za strojništvo
Status publikacije:
Objavljeno
Različica publikacije:
Objavljena publikacija
Leto izida:
2021
Št. strani:
Str. 110-119
Številčenje:
Vol. 88
PID:
20.500.12556/RUL-137772
UDK:
519.61(045)
ISSN pri članku:
0898-1221
DOI:
10.1016/j.camwa.2020.05.022
COBISS.SI-ID:
20067843
Datum objave v RUL:
30.06.2022
Število ogledov:
908
Število prenosov:
92
Metapodatki:
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Objavi na:
Gradivo je del revije
Naslov:
Computers & mathematics with applications
Skrajšan naslov:
Comput. math. appl.
Založnik:
Elsevier
ISSN:
0898-1221
COBISS.SI-ID:
15336965
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
Opis:
Najbolj omejujoča licenca Creative Commons. Uporabniki lahko prenesejo in delijo delo v nekomercialne namene in ga ne smejo uporabiti za nobene druge namene.
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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