| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5128011 | Mathematics and Computers in Simulation | 2017 | 15 Pages |
As the Reynolds number Reâ¶â the primary eddy switches from clockwise- to counterclockwise-rotating, a switching repeatedly reversing as the time tâ¶â. The primary eddy is the eddy leading the dynamics. Marking the genesis of chaos, the switching first is observed at Re=307,000 at the upper side of the total kinetic energy range. But then, it is observed at Re=310,000 at the lower side of the total kinetic energy range and unexpectedly relies upon the occurrence of a unique lowest spike in the total kinetic energy range. However, this reliance is not observed at Re=307,000, even when the lowest spike is more pronounced herein, but continues occurring systematically beyond Re=310,000. At extreme Reynolds numbers Re=O(1eps)=O(1015), where eps is the machine epsilon in double precision, as the time tâ¶â, an interesting dynamics still endures where the switching repeatedly reverses or where it stays put, the primary eddy rotating solely counterclockwise.
