Article | REF: AF1404 V1

Numerical Solution of the Navier-Stokes Equations by the Finite Difference Method

Author: Pierre SPITERI

Publication date: December 10, 2022

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2. Formulation of incompressible Navier-Stokes equations in terms of current-vorticity (current-vortex)

In the previous sections, we saw the formulation of the Navier-Stokes equations in velocity-pressure form. This formulation complicates the resolution of the equations because of the constraint which translates the conservation of mass. In this section, we will transform the Navier-Stokes equations into a form that no longer includes this constraint. Such a formulation is made possible by the introduction of vorticity using the vortex vector

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Formulation of incompressible Navier-Stokes equations in terms of current-vorticity (current-vortex)