Velocity-vorticity formulation for 3D natural convection in an inclined cavity by DQ method

International Journal of Heat and Mass Transfer

Volumn 50, Issue 3-4, 2007, Pages 479-491

  Lo, D C ^a   Young, D L ^b   Murugesan, K ^c   Tsai, C C ^d   Gou, M H ^b  

^a NATIONAL KAOHSIUNG UNIVERSITY OF APPLIED SCIENCES   (Taiwan)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^c INDIAN INSTITUTE OF TECHNOLOGY ROORKEE   (India)

^d TOKO UNIVERSITY   (Taiwan)

Author keywords

Differential quadrature method; Inclined cubic cavity; Natural convection; Velocity vorticity formulation

Indexed keywords

ALGORITHMS; COMPUTATION THEORY; NAVIER STOKES EQUATIONS; POLYNOMIALS; VORTEX FLOW;

DIFFERENTIAL QUADRATURE METHOD; INCLINED CUBIC CAVITY; RAYLEIGH NUMBER; VELOCITY VORTICITY FORMULATION;

NATURAL CONVECTION;

ALGORITHMS; COMPUTATION THEORY; NATURAL CONVECTION; NAVIER STOKES EQUATIONS; POLYNOMIALS; VORTEX FLOW;

EID: 33845312665     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2006.07.025     Document Type: Article

References (14)

1. Fasel H. Investigation of the stability of boundary layers by a finite-difference model of the Navier-Stokes equations. J. Fluid Mech. 78 (1976) 355-383
2. Daube O. Resolution of the 2D Navier-Stokes equations in velocity-vorticity form by means of an influence matrix technique. J. Comput. Phys. 103 (1992) 402-414
3. Guj G., and Stella F. A vorticity-velocity method for the numerical solution of 3D incompressible flows. J. Comput. Phys. 106 (1993) 286-298
4. Lo D.C., Young D.L., and Murugesan K. GDQ method for natural convection in a square cavity using a velocity-vorticity formulation. Numer. Heat Transfer, Part B 48 (2005) 363-386
5. Lo D.C., Murugesan K., and Young D.L. Numerical solution of three-dimensional velocity-vorticity Navier-Stokes equations by finite difference method. Int. J. Numer. Methods Fluids 47 (2005) 1469-1487
6. Wong K.L., and Baker A.J. A 3D incompressible Navier-Stokes velocity-vorticity weak form finite element algorithm. Int. J. Numer. Methods Fluids 38 (2002) 99-123
7. Wu X.H., Wu J.Z., and Wu J.M. Effective vorticity-velocity formulations for three-dimensional incompressible viscous flows. J. Comput. Phys. 122 (1995) 68-82
8. Bellman R.E., Kashef B.G., and Casti J. Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations. J. Comput. Phys. 10 (1972) 40-52
9. Shu C., and Richards B.E. Application of generalized differential quadrature to solve 2-dimensional incompressible Navier-Stokes equations. Int. J. Numer. Methods Fluids 15 (1992) 791-798
10. Shu C., and Xue H. Comparison of two approaches for implementing stream function boundary conditions in DQ simulation of natural convection in a square cavity. Int. J. Heat Fluid Flow 19 (1998) 59-68
11. Liew K.M., and Teo T.M. Modeling via differential quadrature method: three-dimensional solutions for rectangular plates. Comput. Methods Appl. Mech. Eng. 159 (1998) 369-381
12. Shu C. Differential Quadrature and its Application in Engineering (2000), Springer, London
13. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical Recipes in Fortran 90. 2nd ed. (1996), Cambridge University Press, New York
14. Tric E., Labrosse G., and Betrouni M. A first incursion into the 3D structure of natural convection of air in a differentially heated cubic cavity, from accurate numerical solutions. Int. J. Heat Mass Transfer 43 (2000) 4043-4056