Numerical simulation of three-dimensional incompressible flow by a new formulation

International Journal for Numerical Methods in Fluids

Volumn 23, Issue 10, 1996, Pages 1073-1084

  Ho, C J ^a   Lin, F H ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Lid driven cavity flow; Pseudovorticity velociry formulation; Three dimensional incompressible flow

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; VORTEX FLOW;

DIVERGENCE FREE CONDITION; INCOMPRESSIBLE FLOW; PSEUDOVORTICITY-VELOCITY FORMULATION; VORTICITY VELOCITY APPROACH;

VISCOUS FLOW;

INCOMPRESSIBLE FLOW; NAVIER-STOKES EQUATIONS; SIMULATION-NUMERICAL;

EID: 0030294702     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(19961130)23:10<1073::AID-FLD464>3.0.CO;2-F     Document Type: Article

References (12)

1. H. C. Ku, R. S. Hirsh and T. D. Taylor, 'A pseudospectral method for solution of the three-dimensional incompressible Navier-Stokes equations', J. Comput. Phys., 70, 439-462 (1987).
2. K. Aziz and J. D. Hellums, 'Numerical solution of the three-dimensional equations of motion of laminar natural convection', Phys. Fluids, 10, 314-324 (1967).
3. G. D. Mallinson and G. de Vahl Davis, 'Three-dimensional natural convection in a box: a numerical study', J. Fluid Mech., 83, 1-31 (1977).
4. S. C. R. Dennis, D. B. Ingham and R. W. Cook, 'Finite difference methods for calculating steady incompressible flows in three dimensions', J. Comput. Phys., 33, 325-339 (1979).
5. P. M. Gresho, 'Incompressible fluid dynamics: some fundamental formulation issues', Ann. Rev. Fluid Mech., 23, 413-453 (1991).
6. M. Napolitano and G. Pascazio, 'A numerical method for the vorticity-velocity Navier-Stokes equations in two and three dimensions', Comput. Fluids, 19, 489-495 (1991).
7. W. Jia and Y. Nakamura, 'A new formulation for incompressible viscous flow', in Ch. Hirsch, J. Périaux and W. Kordulla. (eds), Computational Fluid Dynamics '92, Elsevier, Amsterdam, 1992, pp. 383-390.
8. H. A. Van der Vorst, 'Bi-CGSTAB: a fast and smoothly converging variant of BCG for the solution of nonsymmetric linear systems', SIAM J. Sci. Stat. Comput., 13, 631-644 (1990).
9. U. Ghia, K. N. Ghia and C. T. Shin, 'High-Re solutions for incompressible flow using the Navier-Stokes equations and a multi-grid method', J. Comput. Phys., 48, 387-411 (1982).
10. G. Guj and F. Stella, 'A vorticity-velocity method for the numerical solution of 3D incompressible flows', J. Comput. Phys., 106, 286-298 (1993).
11. S. Fujima, M. Tabata and Y. Fukasawa, 'Extension to three-dimensional problems of the upwind finite element scheme based on the choice of up- and downwind points', Comput. Methods Appl. Mech. Eng., 112, 109-131 (1994).
12. B. N. Jiang, T. L. Lin and L. A. Povinelli, 'Large-scale computation of incompressible Navier-Stokes equations by leastsquares finite element method', Comput. Methods Appl. Mech. Eng., 114, 213-231 (1994).