To lie or crawl abjectly on the ground with one's face downward. The prisoner was forced to grovel before the king, begging for mercy.
To act in an obsequious manner in order to obtain someone's forgiveness or favor. He had to grovel to his boss to keep his job after the mistake.
To dwell on or indulge in something base, unpleasant, or unworthy. After losing the match, he preferred to grovel in self-pity rather than try again.