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An improved unsteady, unstructured, artificial compressibility, finite volume scheme for viscous incompressible flows. II: Application. (English) Zbl 1098.76582

Summary: In Part I of this paper, a preconditioned artificial compressibility scheme was developed for modelling laminar steady-state and transient, incompressible flows for a wide range of Reynolds and Rayleigh numbers. In this part, several examples of laminar incompressible problems are solved and discussed. The influence of various AC parameters on robustness and convergence rates are assessed for a complex category of problems. It is shown that the scheme developed in Part I is an accurate, robust and easy to use method for solving incompressible laminar flow problems over a wide range of flow regimes.

MSC:

76M12 Finite volume methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
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[1] Malan, International Journal for Numerical Methods in Engineering 54 pp 695– (2002) · Zbl 1098.76581
[2] Chorin, Journal of Computational Physics 2 pp 12– (1967) · Zbl 0149.44802
[3] Rizzi, Journal of Fluid Mechanics 153 pp 275– (1985) · Zbl 0585.76158
[4] The Finite Element Method, Fluid Dynamics, vol. 3. Butterworth-Heinemann: Oxford, 2000.
[5] Nithiarasu, International Journal for Numerical Methods in Engineering 47 pp 629– (2000) · Zbl 0986.76045
[6] Simo, Computer Methods in Applied Mechanics and Engineering 111 pp 111– (1994) · Zbl 0846.76075
[7] Ghia, Journal of Computational Physics 48 pp 387– (1982) · Zbl 0511.76031
[8] Turkel, Applied Numerical Mathematics 12 pp 257– (1993) · Zbl 0770.76048
[9] Michelassi, International Journal of Computational Fluid Dynamics 7 pp 311– (1996) · Zbl 0902.76066
[10] Armaly, Journal of Fluid Mechanics 127 pp 473– (1983)
[11] Denham, Transactions of the Institution of Chemical Engineers 52 pp 361– (1974)
[12] Brandt, Mathematics of Computation 21 pp 333– (1977)
[13] Weiss, AIAA Journal 33 pp 2050– (1995) · Zbl 0849.76072
[14] Private communication, 2001.
[15] Incompressible Flow. Wiley: New York, 1984.
[16] de Sampaio, Computer Methods in Applied Mechanics and Engineering 106 pp 143– (1993) · Zbl 0783.76053
[17] Nithiarasu, Heat and Mass Transfer 38 (2002)
[18] de Vahl Davis, International Journal for Numerical Methods in Fluids 3 pp 249– (1983)
[19] Le Quere, Journal of Computational Physics 57 pp 210– (1985) · Zbl 0585.76128
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