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Precessing vortex breakdown mode in an enclosed cylinder fl ow

Precessing vortex breakdown mode in an enclosed cylinder fl ow,F. Marques,J. M. Lopez

Precessing vortex breakdown mode in an enclosed cylinder fl ow   (Citations: 15)
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    • ...The transitions from a steady axisymmetric base state to an unsteady and/or three dimensional ow of the swirling uid inside a cylinder have been much debated and the bifurcation properties of the ow in an enclosed cylinder are well documented [1, 3, 4, 7, 9]. However, the same cannot be said for the bifurcations of the ow in an open cylinder with a free surface...

    S. J. Coganet al. Axisymmetric Hopf bifurcation in a free surface rotating cylinder ow

    • ...Some of the results reported here are in excellent agreement with the results of Blackburn and Lopez (2000), Lopez et al. (2001a, b), Marques and Lopez (2001)) and Nore et al. (2003), so they can be considered as the results of benchmark quality...
    • ...A pseudospectral method, like the one used by Marques and Lopez (2001) and Lopez et al. (2002) yields good accuracy with fewer number of degrees of freedom (than the ® nite difference method), but uses a pressure-correction procedure for time-marching and therefore does not seem to be suitable for the stability analysis...
    • ...2.5:0 2,706 2,707 (Lopez et al., 2001b) 30£30 140 £350 uniform grid, ® nite difference 1:2 2,471 2,473 (Nore et al., 2003) 40 £40 200 £200 uniform grid, ® nite difference 3:4 2,839 , 2,850 (Marques and Lopez, 2001) 40 £40 64 £64 Legendre pseudospectral 3.5:3 2,132 , 2,150 (Marques and Lopez, 2001) 40 £40 64 £64 Legendre pseudospectral Table I. Critical Reynolds number for swirling ¯ ow ...
    • ...2.5:0 2,706 2,707 (Lopez et al., 2001b) 30£30 140 £350 uniform grid, ® nite difference 1:2 2,471 2,473 (Nore et al., 2003) 40 £40 200 £200 uniform grid, ® nite difference 3:4 2,839 , 2,850 (Marques and Lopez, 2001) 40 £40 64 £64 Legendre pseudospectral 3.5:3 2,132 , 2,150 (Marques and Lopez, 2001) 40 £40 64 £64 Legendre pseudospectral Table I. Critical Reynolds number for swirling ¯ ow ...

    Alexander Yu. Gelfgatet al. Multiple solutions and stability of con® ned convective and swirlingow...

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