×

A numerical method for solving incompressible viscous flow problems. (English) Zbl 0149.44802

Summary: We present a method which uses the velocities and the pressure as variables and is equally applicable to problems in two and three space dimensions. The principle of the method lies in the introduction of an artificial compressibility \(\delta\) into the equations of motion, in such a way that the final results do not depend on \(\delta\). An application to thermal convection problems is presented.

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
76R10 Free convection

Keywords:

fluid mechanics
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Brandt, A.; Gillis, J., Phys. Fluids, 9, 690 (1966) · Zbl 0139.22601
[2] Chandrasekhar, S., Hydrodynamic and Hydromagnetic Stability (1961), The Clarendon Press: The Clarendon Press Oxford, England · Zbl 0142.44103
[3] Chorin, A. J., (AEC Research and Development Report No. NYO-1480-61 (1966), New York University)
[4] Harlow, F. H.; Welch, J. E., Phys. Fluids, 8, 2182 (1965) · Zbl 1180.76043
[5] Schneck, P.; Veronis, G., Phys. Fluids, 10, 927 (1967)
[6] Veronis, G., J. Fluid Mech., 26, 49 (1966) · Zbl 0147.45901
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.