Numerical method for unsteady 3D Navier-Stokes equations in velocity-vorticity form

Abstract A finite difference method is presented to solve the 3D Navier-Stokes equations in velocity-vorticity form. Several systems of equations in velocity-vorticity form have been discussed. Applications of the method for flows around both a cube and a sphere are realized. The comparisons between the results of the present formulation and those of the velocity-pressure formulation or the experimental data show that the present method is consistent.

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