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Abs ract : For the detailed investigation of the 3D unsteady incompressible viscous separated fluid flows around a sphere (for 200dRed700) and a circular cylinder (for 200dRed400) the direct numerical simulation and 3D visualization are used. For 3D visualization of the fluid flows around a sphere the definition of vortex core as a connected region containing two negative eigenvalues of the S S t 2 +: 2 tensor is used (where S Si,j and :i,j are the rate of strain and the rate of rotation tensors). The formation mechanism of vortices in the sphere wake for Re=500 is described in detail. For 3D visualization of the fluid flows around a circular cylinder the 3D isosurfaces of the streamwise component of vorticity Zx are used.

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