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

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 resu...

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Bibliographic Details
Published in:Computers & fluids 1997, Vol.26 (2), p.193-216
Main Authors: Shen, Wen-Zhong, Loc, Ta-Phuoc
Format: Article
Language:English
Subjects:
Computational methods in fluid dynamics
Exact sciences and technology
Finite difference method
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
Pressure
Spheres
Three dimensional
Velocity
Vortex flow
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Summary: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.
ISSN:0045-7930
1879-0747
DOI:10.1016/S0045-7930(96)00040-0