A STREAMFUNCTION-VORTICITY-BASED FINITE-ELEMENT FORMULATION FOR LAMINAR-CONVECTION PROBLEMS

被引：26

作者：

COMINI, G

CORTELLA, G

MANZAN, M

机构：

[1] Università degli Studi di Udine, Istituto di Fisica Tecnica e di Tecnologie Industriali, Udine, 33100

来源：

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS | 1995年 / 28卷 / 01期

关键词：

D O I：

10.1080/10407799508928818

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The finite-element method is used to solve mixed-, forced-, and natural-convection problems in two-dimensional incompressible laminar flows. The streamfunction-vorticity equations are uncoupled and solved in sequence with the energy equation. The wall vorticity is evaluated in the framework of the streamfunction equation, and particular care is taken to specify inflow and outflow boundary conditions properly. The resulting scheme achieves convergence without the traditional need for upwinding, even for very high values of the Reynolds and the Rayleigh numbers. Stability and accuracy of the approach are demonstrated by the solution of three well-known test problems concerning mixed and forced convection downstream of a backward-facing step, and natural convection in a heated square cavity.

引用

页码：1 / 22

页数：22

共 23 条

[11] SOLUTION OF FLUID-FLOW PROBLEMS WITH THE VORTICITY-STREAMFUNCTION FORMULATION AND THE CONTROL-VOLUME-BASED FINITE-ELEMENT METHOD [J].

KETTLEBOROUGH, CF ;

HUSAIN, SR ;

PRAKASH, C .

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 1989, 16 (01) :31-58

[12] COMPUTATIONAL STUDY OF LAMINAR HEAT-TRANSFER DOWNSTREAM OF A BACKWARD-FACING STEP [J].

KONDOH, T ;

NAGANO, Y ;

TSUJI, T .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1993, 36 (03) :577-591

[13] CONJUGATE-GRADIENT METHODS AND ILU PRECONDITIONING OF NON-SYMMETRIC MATRIX SYSTEMS WITH ARBITRARY SPARSITY PATTERNS [J].

LANGTANGEN, HP .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1989, 9 (02) :213-233

[14] OPEN BOUNDARY-CONDITION SYMPOSIUM BENCHMARK SOLUTION - STRATIFIED FLOW OVER A BACKWARD-FACING STEP [J].

LEONE, JM .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1990, 11 (07) :969-984

[15] ACCURATE SOLUTIONS TO THE SQUARE THERMALLY DRIVEN CAVITY AT HIGH RAYLEIGH NUMBER [J].

LEQUERE, P .

COMPUTERS & FLUIDS, 1991, 20 (01) :29-41

[16] A PROCEDURE FOR CALCULATING VORTICITY BOUNDARY-CONDITIONS IN THE STREAM-FUNCTION VORTICITY METHOD [J].

MACKINNON, RJ ;

CAREY, GF ;

MURRAY, P .

COMMUNICATIONS IN APPLIED NUMERICAL METHODS, 1990, 6 (01) :47-48

[17] INFLOW AND OUTFLOW BOUNDARY-CONDITIONS IN THE FINITE-ELEMENT SOLUTION OF THE STREAMFUNCTION VORTICITY EQUATIONS [J].

MANZAN, M ;

COMINI, G .

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1995, 11 (01) :33-40

[18]

Morgan K., 1984, NOTES NUMERICAL FLUI, V9

[19] FINITE-ELEMENT STREAM FUNCTION VORTICITY SOLUTIONS OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].

PEETERS, MF ;

HABASHI, WG ;

DUECK, EG .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1987, 7 (01) :17-27

[20]

Roache P.J., 1982, COMPUTATIONAL FLUID

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