Generation of large-scale vortex dislocations in a three-dimensional wake-type flow

Low-dimensional dynamical systems for a wake-type shear flow with vortex dislocations

“…The ow ÿeld and the vortex dislocations obtained in the present work are speciÿed by the inlet ow with stepped variation in velocity defect. When the width between the discontinuity is decreased as a(z) = 1:1 + 0:4e −z 2 (Ling and Xiong, 2001), a systematic vortex dislocation is also generated, while the ow pattern and the frequency variation in downstream are not the same as the ow presented here. Various vortex dislocation modes and three-dimensionality could be produced.…”

“…They play an important role in the ow transition and are considered to be a new kind of the mechanism for the transition. Recently, Ling and Xiong (2001) and Braza et al (2001) have made numerical exploration on the vortex dislocations in a wake-type ow and a cylinder wake. The generation of forced vortex dislocations and natural vortex dislocations and their in uences on the ow were reported.…”

Vortex dislocation in wake-type flow caused by local spanwise nonuniformity

“…A detailed presentation of these equations and the numerical method can be found in Xiong & Ling (1996) and Ling & Xiong (2001).…”

“…For solving Helmholtz equations for pressure and velocity, a nine-point compact scheme of forth-order accuracy is derived and sixth-order central compact scheme is used for non-homogeneous term calculations. For the details of the parameter values in the equation (3) and the particular representation of numerical schemes, readers may refer to Ling & Xiong (2001).…”