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.


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


fluid mechanics
Full Text: DOI


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