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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
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References:
[1] Brandt, A.; Gillis, J., Phys. fluids, 9, 690, (1966)
[2] Chandrasekhar, S., Hydrodynamic and hydromagnetic stability, (1961), The Clarendon Press Oxford, England · Zbl 0142.44103
[3] Chorin, A.J., ()
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[6] Veronis, G., J. fluid mech., 26, 49, (1966)
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