NOTE ON FINITE-DIFFERENCE APPROXIMATIONS FOR THE VISCOUS GENERATION OF VORTICITY AT A BOUNDARY

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Abstract
The viscous decay of a fluid in solid body rotation in a circular two-dimensional container is studied using a vorticity finite-difference scheme. A comparison is made with the well-known analytic solution to determine the accuracy of several finite-difference expressions for the wall vorticity. The most accurate results are obtained with a first-order scheme that conserves the net integrated vorticity.