Flesch received a 43-place bump to No. 87 this week, while Westwood moved up 13 spaces to 35th in the new rankings.
Ahead of them, there were no big changes to the top of the rankings. Tiger Woods remained No. 1 and was again followed by Phil Mickelson and Jim Furyk.
Steve Stricker inched up a spot to fourth, while Ernie Els slipped one to fifth. Adam Scott held steady at No. 6 and was trailed by Padraig Harrington.
Rory Sabbatini and Sergio Garcia exchanged places with the South African up to eighth. K.J. Choi, Geoff Ogilvy, Vijay Singh and Justin Rose held steady at 10th through 13th.
Zach Johnson and Luke Donald were each up one, while Henrik Stenson dropped two places to 16th and was followed by Retief Goosen and Trevor Immelman.
Angel Cabrera moved up a notch to 19th and bumped Aaron Baddeley to 20th.