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A meshless solution of the compressible viscous flow in axisymmetric tubes with varying cross-sections
ID
Rana, Khush Bakhat
(
Author
),
ID
Mavrič, Boštjan
(
Author
),
ID
Zahoor, Rizwan
(
Author
),
ID
Šarler, Božidar
(
Author
)
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https://www.sciencedirect.com/science/article/pii/S0955799722002260
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Abstract
The meshless Diffuse Approximate Method (DAM) is for the first time formulated and applied to simulate the compressible Newtonian flow of an ideal gas in an axisymmetric tube with varying cross-sections. The problem is structured by coupled partial differential equations for conservation of mass, momentum and energy, and the equation of state closure. These equations are solved in primitive variables and strong form. DAM is formulated on irregular node arrangement by using the second and third-order polynomial shape functions and Gaussian weights, leading to weighted least squares approximation on overlapping local subdomains. Pressure-velocity coupling is performed by the Pressure Implicit with Splitting of Operators (PISO) scheme. The solution of the represented novel application of DAM is verified by matching the meshless results with the fine-mesh finite-volume method results. The characteristics of meshless DAM for this kind of problem are systematically assessed by a detailed investigation of the varying node density, shape function order, Gaussian weight's shape, and the number of nodes in a local subdomain. The sensitivity study of DAM parameters shows that for the tested problems, the most suitable values of the Gaussian weight function and the number of nodes in a local subdomain are 5.0 and 13, respectively. Third-order convergence rate with better results is observed while using third-order polynomial shape functions.
Language:
English
Keywords:
compressible flow
,
ideal gas
,
axisymmetry
,
diffuse approximate method
,
PISO
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
FS - Faculty of Mechanical Engineering
Publication status:
Published
Publication version:
Version of Record
Year:
2022
Number of pages:
Str. 340-352
Numbering:
Vol. 143
PID:
20.500.12556/RUL-138374
UDC:
532:544.27:004.94
ISSN on article:
0955-7997
DOI:
10.1016/j.enganabound.2022.06.029
COBISS.SI-ID:
114950915
Publication date in RUL:
18.07.2022
Views:
572
Downloads:
110
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Record is a part of a journal
Title:
Engineering analysis with boundary elements
Shortened title:
Eng. anal. bound. elem.
Publisher:
Elsevier
ISSN:
0955-7997
COBISS.SI-ID:
5605380
Licences
License:
CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Link:
http://creativecommons.org/licenses/by-nc-nd/4.0/
Description:
The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Secondary language
Language:
Slovenian
Keywords:
stisljiv tok
,
idealni plin
,
osnosimetričnost
,
razpršena približna metoda
,
PISO
Projects
Funder:
ARRS - Slovenian Research Agency
Funding programme:
Young researchers
Funder:
ARRS - Slovenian Research Agency
Project number:
P2-0162
Name:
Večfazni sistemi
Funder:
ARRS - Slovenian Research Agency
Project number:
J2-1718
Name:
Napredno brezmrežno modeliranje in simulacija večfaznih sistemov
Funder:
Other - Other funder or multiple funders
Funding programme:
Centre of Free Electron Laser
Name:
Innovative methods for imaging with the use of X-ray Free Electron Laser (XFEL) and synchrotron sources: simulation of gas-focused microjets
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