Hmmmmm... Well, lets assume this is happening. First, you must learn the basics of what a zombie is....
Modern zombies, as portrayed in books, films, and haunted attractions, are quite different from both voodoo zombies and those of folklore. Modern zombies are typically depicted in popular culture as mindless, unfeeling monsters with a hunger for human flesh, a prototype established in the seminal 1968 film Night of the Living Dead. Typically, these creatures can sustain damage far beyond that of a normal, living human and can pass whatever syndrome that causes their condition onto others.
Usually, zombies are not thralls to masters, as in White Zombie or the spirit-cult myths. Rather, modern zombies come in mobs and waves, seeking either flesh to eat or people to kill. Typically, they show signs of physical decomposition such as rotting flesh, discolored eyes, and open wounds, and move in fairly stylized, abnormal ways. They are generally incapable of communication, showing no signs of personality, rationality or any ability to reason or organize or the abillity to run/sprint or swim.
Ok, this now means they WILL seek you out and eat you. They will appear in large groups, cannot be reasoned with, and can turn you into a zombie....
so
1. keep a set distance.
2. do not allow yourself to be cornered...know your area and stay out of low vizibillity areas
3. reliable FAST escape vehicle if available would be usefull.
4.and personall protection like welding leathers, helmet, and stuff. if they cannot penetrate, they cannot eat you... BUT REMEMBER mobility and visibillity are key
5. well lit area
6. AVOID hand to hand combat, because hand will meet stomach.
Now, you can't shoot them, no matter what your packing.. rocket launchers included, you can only hit so many at once. Fire may deter, but they will keep coming, cook you and eat you.
So, i believe explosives are the answer. you can keep your distance, plant them ahead of time, select area of impact, and can destroy and immobilize large groups all at once. REMEMBER, Don't get cornered, be in a hi visibility area, and have a back up plan and escape route.
on the fly, that's what i got