Abstract

A new numerical algorithm for incompressible fluid flow subjected to strong system rotation is proposed. The Coriolis term in the Navier-Stokes equation is diagonalized by introducing a complex velocity and the term is advanced implicitly. Two examples of numerical simulation are presented. The first example is the source-sink flow between rotating disks and it is proved that the computational cost of the present algorithm is ten times cheeper than the previous one. The second example is the source-sink flow between the rotating housing with a spherical wall and the rotating core with combined spherical and cylindrical walls, which is the flow field applied to a particle classification system. The second example indicates the applicability of the present algorithm to complex geometry.

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