Numerical study of the three-dimensional incompressible flow between closed rotating cylinders
A new method for the solution of the vector potential — vorticity formulation of the equations of a fluid motion is presented in this paper. The fully coupled finite difference approximations to these equations have been solved using a general block tri - diagonal scheme. New boundary conditions for the vector potential are also presented. These conditions enables to satisfy exactly the conditions at the boundaries of the solution domain, like the mass flow through the boundaries. The method is found to converge more rapidly, and to be more accurate than previous solutions of the three dimensional vector potential - vorticity equations.
KeywordsVector Potential Outer Cylinder Finite Difference Approximation Vorticity Component Boundary Condition Formulation
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