
Summary: In this paper the high-order formulations described earlier by the first author [Int. J. Numer. Methods Fluids 15, No. 5, 595-612 (1992; Zbl 0762.76063)] are proved to be stable for viscous flow at high Reynolds numbers. As an example, some results for shear-driven flow in a square cavity at Reynolds numbers up to 10,000 are given.
convergence, square cavity, shear-driven flow, Navier-Stokes equations for incompressible viscous fluids, homotopy, Finite difference methods applied to problems in fluid mechanics
convergence, square cavity, shear-driven flow, Navier-Stokes equations for incompressible viscous fluids, homotopy, Finite difference methods applied to problems in fluid mechanics
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