Petrov-Galerkin finite element stabilization for two-phase flows

被引：1

作者：

Giordano, Michele ^{[1
]}

Magi, Vinicio ^{[1
]}

机构：

[1] Univ Basilicata, Dept Environm Engn & Phys, I-85100 Potenza, Italy

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2006年 / 51卷 / 9-10期

关键词：

finite element; SUPG; two-fluid model;

D O I：

10.1002/fld.1187

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A finite element model for incompressible laminar two-phase flows is presented. A two-fluid model, describing the laminar non-equilibrium flow of two incompressible phases, is discretized by means of a properly designed streamline upwind Petrov-Galerkin (SUPG) finite element procedure. Such a procedure is consistent with a continuous pressure equation. The design and the implementation of the algorithm are presented together with its validation throughout a comparison with simulations available in the literature. Copyright C 2006 John Wiley & Sons, Ltd.

引用

页码：1117 / 1129

页数：13

共 50 条

[31] A PETROV-GALERKIN TECHNIQUE FOR THE SOLUTION OF TRANSONIC AND SUPERSONIC FLOWS
BAUMANN, CE
STORTI, MA
IDELSOHN, SR
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 95 (01) : 49 - 70
[32] Meshless local Petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches
Liu, GR
Gu, YT
COMPUTATIONAL MECHANICS, 2000, 26 (06) : 536 - 546
[33] Finite element computations of viscoelastic two-phase flows using local projection stabilization
Venkatesan, Jagannath
Ganesan, Sashikumaar
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2020, 92 (08) : 825 - 854
[34] The moving finite element method with streamline-upwind Petrov-Galerkin for magnetohydrodynamic flows problems at high Hartmann numbers
Zhang, Xiaohua
Xu, Xinmeng
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2023, 157 : 400 - 412
[35] Immersed-interface finite element method based on a nonconformal Petrov-Galerkin formulation
Patil, Mayuresh J.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 122 (15) : 3824 - 3844
[36] Moving element free Petrov-Galerkin viscous method
Ghorbany, M
Soheili, AR
JOURNAL OF THE CHINESE INSTITUTE OF ENGINEERS, 2004, 27 (04) : 473 - 479
[37] THE DEFECT ITERATION OF THE FINITE ELEMENT FOR ELLIPTIC BOUNDARY VALUE PROBLEMS AND PETROV-GALERKIN APPROXIMATION
Jun-bin Gao (Department of Mathematics
Journal of Computational Mathematics, 1998, (02) : 152 - 164
[38] Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods
Bertrand, Fleurianne
Demkowicz, Leszek
Gopalakrishnan, Jay
Heuer, Norbert
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2019, 19 (03) : 395 - 397
[39] The defect iteration of the finite element for elliptic boundary value problems and Petrov-Galerkin approximation
Gao, JB
Yang, YD
Shih, TM
JOURNAL OF COMPUTATIONAL MATHEMATICS, 1998, 16 (02) : 152 - 164
[40] A Bilinear Petrov-Galerkin Finite Element Method for Solving Elliptic Equation with Discontinuous Coefficients
Wang, Liqun
Hou, Songming
Shi, Liwei
Zhang, Ping
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2019, 11 (01) : 216 - 240

← 1 2 3 4 5 →