CoolSculpting is designed to be placed on pinch able fat especially on the abdomen and each session results in 30% reduction of fat targeted. Liposuction can take out as much fat as the operator seems necessary.
There is no reason why the CoolSmooth applicator can't be used on the abdomen. How effective it will be depends on the amount of fat you are trying to treat. Because the CoolSmooth lies on the surface of the skin and the fat is still in contact with the warmth of the underlying muscles, it cannot treat as much fat at once as the original, sucking applicator can. Please consult a board-certified dermatologist to find out which technique and applicator is best to help you sculpt the body shape you desire.