Modeling duct flow by the R-function method

被引：0

作者：

Proskurin A.V. ^{[1
]}

Sagalakov A.M. ^{[1
]}

机构：

[1] Altai State University, pr. Lenina 61, Barnaul

来源：

Journal of Applied and Industrial Mathematics | 2016年 / 10卷 / 3期

关键词：

duct flow; meshfree method; R-functions;

D O I：

10.1134/S1990478916030133

中图分类号：

学科分类号：

摘要：

The article deals with a flow in the tube of rectangular cross-section with an inner circular cylindrical element. We use the numerical method basing on R-functions. This method is meshfree and therefore more efficient than the finite element method that requires remeshing when the geometry of problem is changed. The dependence of the flow on the diameter of the central cylinder and its position in the duct is investigated under constant pressure gradient. It was found that the resistance decreases if the inner element is moved from the center of the duct. © 2016, Pleiades Publishing, Ltd.

引用

页码：429 / 434

页数：5

共 50 条

[31] Some new properties of the beta function and Ramanujan R-function
Yang, Zhen-Hang
Wang, Miao-Kun
Zhao, Tie-Hong
RAMANUJAN JOURNAL, 2025, 67 (01):
[32] R-function method for the study of elastic waves diffraction on a rigid inclussion of arbitrary form
Gulyaev, YV
Kravchenko, VF
Rvachev, VL
Sizova, ND
DOKLADY AKADEMII NAUK, 1995, 344 (04) : 457 - 459
[33] The R-function method for the free vibration analysis of thin orthotropic plates of arbitrary shape
Kurpa, L
Rvachev, V
Ventsel, E
JOURNAL OF SOUND AND VIBRATION, 2003, 261 (01) : 109 - 122
[34] THE CALCULATION AND APPLICATION OF R-FUNCTION IN TERNARY-SYSTEMS
CHOU, KC
CALPHAD-COMPUTER COUPLING OF PHASE DIAGRAMS AND THERMOCHEMISTRY, 1987, 11 (03): : 287 - 292
[35] Numerical analysis of the external slow flows of a viscous fluid using the R-function method
Lamtyugova, S. N.
Sidorov, M. V.
JOURNAL OF ENGINEERING MATHEMATICS, 2015, 91 (01) : 59 - 79
[36] R-Function and variation method for bending problem of clamped thin plate with complex shape
Xia, Fengfei
Li, Shanqing
ADVANCES IN MECHANICAL ENGINEERING, 2021, 13 (07)
[37] Analytical Representation of ZED-2 Reactor Geometry by Means of the R-Function Method
Altiparmakov, D.
CNL NUCLEAR REVIEW, 2013, 2 (01) : 27 - 37
[38] Numerical analysis of the external slow flows of a viscous fluid using the R-function method
S. N. Lamtyugova
M. V. Sidorov
Journal of Engineering Mathematics, 2015, 91 : 59 - 79
[39] Different representations of R-function and parameterized quantization scheme
Wang, Qi
Hu, Li-Yun
Wang, Zi-Sheng
Ye, Zhi-Qing
OPTIK, 2012, 123 (21): : 2002 - 2009
[40] R-function method for simulating thermal processes in the case of radiating complex-shaped bodies
V. F. Kravchenko
V. I. Pustovoit
V. L. Rvachev
N. D. Sizova
Doklady Physics, 2001, 46 : 21 - 25

← 1 2 3 4 5 →