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A vorticity-velocity method for the numerical solution of 3D incompressible flows. (English) Zbl 0770.76045
A new method for the numerical solution of the 3D Navier-Stokes equations written in terms of vorticity-velocity is presented. The advantages of this formulation with respect to primitive variables and vorticity- vector-potential ones are discussed in view of physical as well as engineering applications. A suitable form of the continuum equations, the most appropriate discretization scheme, and variable location in order to guarantee the solenoidality of the velocity and vorticity fields are introduced and justified. A 3D lid driven cavity problem is chosen as test case for comparison and validation purposes.

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