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Numerical simulation of three-dimensional Couette-Taylor flows. (English) Zbl 0949.76062
From the summary: To investigate the time-dependent non-axisymmetric flow between two rotating cylinders, or the so-called Couette-Taylor problem, we propose a numerical method to solve three-dimensional Navier-Stokes equations. First, the projection method is employed to obtain the pressure Poisson equation. Then the velocity is solved from the equations of motion by using a semi-implicit finite difference scheme. The numerical solution thus obtained has the accuracy of second-order in both time and space discretizations. We obtain the Couette-Taylor flow patterns from direct numerical simulation for the regimes of steady circular Couette flow, steady Taylor vortices, and for their intermediate processes, as well as the onset of periodic spiral vortices.

76M20 Finite difference methods applied to problems in fluid mechanics
76U05 General theory of rotating fluids
76D05 Navier-Stokes equations for incompressible viscous fluids
Full Text: DOI
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