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A numerical study of the axisymmetric Couette–Taylor problem using a fast high-resolution second-order central scheme. (English) Zbl 0922.76256
The author presents a numerical study of the axisymmetric Couette-Taylor problem using a staggered version of a second-order control differencing method combined with the discrete Hodge projection. The results show that the proposed scheme makes possible the computation of flow problems with significantly less effort than upwind schemes.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76U05 General theory of rotating fluids
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
76E17 Interfacial stability and instability in hydrodynamic stability
76E99 Hydrodynamic stability
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