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

[21] The R-function method in the investigation of the problems of diffraction of the electromagnetic waves on a system of bodies
Kravchenko, V. F.
Sizova, N. D.
SIXTH INT KHARKOV SYMPOSIUM ON PHYSICS AND ENGINEERING OF MICROWAVES, MILLIMETER AND SUBMILLIMETER WAVES/WORKSHOP ON TERAHERTZ TECHNOLOGIES, VOLS 1 AND 2, 2007, : 929 - +
[22] Application of the R-function method to nonlinear vibrations of thin plates of arbitrary shape
Kurpa, L
Pilgun, G
Ventsel, E
JOURNAL OF SOUND AND VIBRATION, 2005, 284 (1-2) : 379 - 392
[23] The r-function method in boundary-value problems with geometric and physical symmetry
Rvachev V.L.
Sheiko T.I.
Shapiro V.
Journal of Mathematical Sciences, 1999, 97 (1) : 3888 - 3899
[24] Nonlinear modes of cylindrical panels with complex boundaries. R-function method
I. D. Breslavsky
K. V. Avramov
Meccanica, 2011, 46 : 817 - 832
[25] Method of R-function for investigation of parametric vibrations of orthotropic plates of complex shape
Kurpa L.V.
Mazur O.S.
Journal of Mathematical Sciences, 2011, 174 (3) : 269 - 282
[26] APPLICATION OF R-FUNCTION METHOD FOR SOLVING STATIONARY PROBLEMS OF HEAT CONDUCTION AND ELECTRODYNAMICS
YARMOLYUK, VK
RVACHOV, VL
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR, 1971, (11): : 1003 - +
[27] Nonlinear modes of cylindrical panels with complex boundaries. R-function method
Breslavsky, I. D.
Avramov, K. V.
MECCANICA, 2011, 46 (04) : 817 - 832
[28] Solving an arbitrarily shaped flat radiator synthesis problem by the R-function method
Basarab, MA
IVTH INTERNATIONAL CONFERENCE ON ANTENNA THEORY AND TECHNIQUES, VOLS 1 AND 2, PROCEEDINGS, 2003, : 196 - 198
[29] R-FUNCTION METHOD FOR CALCULATING THE CONDUCTIVITY OF AN INHOMOGENEOUS MEDIUM IN A MAGNETIC FIELD.
Sheiko, T.I.
Soviet physics. Technical physics, 1979, 24 (12): : 1429 - 1433
[30] Solution of vibration problems for shallow shells of arbitrary form by the R-function method
Kurpa, LV
Lyubitska, KI
Shmatko, AV
JOURNAL OF SOUND AND VIBRATION, 2005, 279 (3-5) : 1071 - 1084

← 1 2 3 4 5 →