Two-Level Finite Element Method with a Stabilizng Subgrid for the Natural Convention Flow Simulation in Different Geometries

被引：7

作者：

Aydin, S. H. ^{[1
]}

机构：

[1] Karadeniz Tech Univ, Dept Math, TR-61080 Trabzon, Turkey

来源：

NUMERICAL HEAT TRANSFER PART A-APPLICATIONS | 2011年 / 59卷 / 10期

关键词：

SQUARE CAVITY; CONVECTION FLOW; HEAT-TRANSFER; FORMULATIONS; ENCLOSURE;

D O I：

10.1080/10407782.2011.572764

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The present numerical study deals with the stabilized finite element solution of the steady natural convection flow in terms of primitive variables. The domain is discretized into a set of regular linear triangular elements for all unknowns containing a single subgrid node, which has a crucial effect in the stabilization with a cheap computational cost. The proposed stabilized finite element method enables obtainment of a stable solution and avoids oscillations, especially in the pressure. The algorithm is presented for different benchmark problems considered in different geometries and the solutions are obtained for high values of Rayleigh number (Ra) (103Ra106). Furthermore, the solutions show the well-known characteristics of the natural convection flow and agree well with the results in the literature.

引用

页码：799 / 813

页数：15

共 22 条

[1] Two-level finite element method with a stabilizing subgrid for the incompressible MHD equations [J].

Aydin, S. H. ;

Nesliturk, A. I. ;

Tezer-Sezgin, M. .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2010, 62 (02) :188-210

[2] FINITE-ELEMENT METHOD WITH LAGRANGIAN MULTIPLIERS [J].

BABUSKA, I .

NUMERISCHE MATHEMATIK, 1973, 20 (03) :179-192

[3] Natural convection flow simulation for various angles in a trapezoidal enclosure with linearly heated side wall(s) [J].

Basak, Tanmay ;

Roy, S. ;

Singh, Amit ;

Pandey, Bishun D. .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2009, 52 (19-20) :4413-4425

[4] A RELATIONSHIP BETWEEN STABILIZED FINITE-ELEMENT METHODS AND THE GALERKIN METHOD WITH BUBBLE FUNCTIONS [J].

BREZZI, F ;

BRISTEAU, MO ;

FRANCA, LP ;

MALLET, M ;

ROGE, G .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 96 (01) :117-129

[5] On the choice of a stabilizing subgrid for convection-diffusion problems [J].

Brezzi, F ;

Marini, LD ;

Russo, A .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (2-5) :127-148

[6] A priori error analysis of residual-free bubbles for advection-diffusion problems [J].

Brezzi, F ;

Hughes, TJR ;

Marini, LD ;

Russo, A ;

Süli, E .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1999, 36 (06) :1933-1948

[7]

BREZZI F, 1974, REV FR AUTOMAT INFOR, V8, P129

[8] Augmented spaces, two-level methods, and stabilizing subgrids [J].

Brezzi, F ;

Marini, LD .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2002, 40 (1-2) :31-46

[9] STREAMLINE UPWIND PETROV-GALERKIN FORMULATIONS FOR CONVECTION DOMINATED FLOWS WITH PARTICULAR EMPHASIS ON THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].

BROOKS, AN ;

HUGHES, TJR .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1982, 32 (1-3) :199-259

[10] Natural convection heat transfer in an enclosure with a heated backward step [J].

Chang, TS ;

Tsay, YL .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2001, 44 (20) :3963-3971

← 1 2 3 →