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A NUMERICAL PROCEDURE FOR PREDICTING MULTIPLE SOLUTIONS OF A SPHERICAL TAYLOR–COUETTE FLOW
Author(s) -
Yang R.J.
Publication year - 1996
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19960615)22:11<1135::aid-fld431>3.0.co;2-n
Subject(s) - taylor–couette flow , mathematics , flow (mathematics) , convergence (economics) , rotational symmetry , incompressible flow , couette flow , vortex , taylor series , compressibility , rate of convergence , navier–stokes equations , computational fluid dynamics , finite difference method , mathematical analysis , mechanics , classical mechanics , physics , geometry , computer science , computer network , channel (broadcasting) , economics , economic growth
A new numerical procedure for predicting multiple solutions of Taylor vortices in a spherical gap is presented. The steady incompressible Navier–Stokes equations in primitive variables are solved by a finite‐ difference method using a matrix preconditioning technique. Routes leading to multiple flow states are designed heuristically by imposing symmetric properties. Both symmetric and asymmetric solutions can be predicted in a deterministic way. The current procedure gives very fast convergence rate to the desired flow modes. This procedure provides an alternative way of finding all possible stable steady axisymmetric flow modes.