advance on

advance (up)on (something or some place)

To move forward or maneuver toward a location or goal, such as in a military offensive or a similarly coordinated march or effort. The army advanced upon the enemy capital. After gathering at city hall, the protesters advanced on the senator's office.
See also: advance
Farlex Dictionary of Idioms.

advance (up)on someone or something

to move toward someone or something. (Typically in military maneuvers or in team sports, such as American football. Upon is more formal and less commonly used than on.) They advanced upon the town, firing their rifles and shouting.
See also: advance, on
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs.

advance on

or advance upon
v.
To move increasingly closer to someone or something: On the last lap of the race, I looked back and saw the other runners advancing on me. The army advanced upon the enemy's position.
See also: advance, on
The American Heritage® Dictionary of Phrasal Verbs.
See also:
  • advance (up)on (something or some place)
  • advance toward (something or some place)
  • go toward
  • go toward (someone or something)
  • maneuver
  • manoeuvre
  • room for/to maneuver
  • freedom
  • freedom of maneuver
  • freedom of/room for manoeuvre