When scrolling through the Time Browser, the color coding and annotations do not change. However, the values in the Properties display or the element FlexTables do change.
First, if you are only looking at the colors and annotations in the drawing pane, make sure the calculation was completed successfully. Check your user notifications list, and the Calculation Summary.
If the calculations completed and you see the results changing in graphs and in the property grid/flextables, this may be due to auto-refresh being turned off. Go to the View menu and make sure that the Auto-Refresh option has a check mark beside it. When Auto-Refresh is checked, element symbology (color coding and annotations) should change as you step through the Time Browser.
If that doesn't help, try going to File > Database Utilities > Synchronize Drawing. (or for V8i, Tools > Database Utilities > Synchronize Drawing)
You can also try deleting the model's associated .DWH file (which will be regenerated upon reopening the model), or try moving just the starter file (.WTG for WaterGEMS/WaterCAD, .STSW for the storm and sewer products) and the database file (.SQLITE) to a new folder location and recompute the model.