Abstract
An algorithm which brings together the techniques of multigrid and deferred correction through their common relationship with imperfect Newton iteration manages to combine the ease of calculation of a low-order with the accuracy of a high-order difference approximation of any given differential-equation problem. A stable explicit Gauss-Seidel relaxation algorithm for the ψ-ζ Navier-Stokes equations based on an appropriate kind of “upwinding” of ψ- as well as ζ-derivatives, especially developed for use as a multigrid smoother in this context, is presented and the complete algorithm is tested on the standard conservative second-order discretization of the driven-cavity problem.
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