Adjust your pool's pH to 7.0 to 7.2, the alkalinity to 85 to 100 ppm and hardness to 150 to 250 ppm. This will give your pool the correct environment in which to neutralize the black algae.
Add a poly quat algaecide to the pool weekly. A poly quat algaecide will break through the black algae's water-repellent outer surface, allowing the other chemicals to destroy the exposed algae membrane.
Use granular pool chlorine to shock the pool. Granular chlorine has a pH of 12, which is ideal for killing black algae.
Scrub the bottom and side of the pool, using a pool brush. Skim out the loose debris.
Run the pool filter every day, and do not turn it off until you've removed all the black algae.
Backwash the pool twice a day to remove black algae from the filter.