Security updates in modern web browsers can prevent the GlobalSearch Grid View from receiving the refresh message after you update and close a document.
The GlobalSearch Web client is slated for deprecation and will not receive further fixes or updates. To resolve this issue, migrate to the GlobalSearch GO client; its architecture avoids the browser security limitation.
More information about the upcoming GlobalSearch Web client deprecation and the new GlobalSearch GO client is available at the links below:
As a workaround, use the “Refresh” button shown in the screenshot whenever you return to the grid view after saving a document.