A method and apparatus, for improving the control and the efficiency of in-situ combustion (i.e. burning of oil spills atop bodies of water) of combustible waste materials on land or sea to cleanup such waste, that is also less complex than similar apparatuses, whereby the apparatus traverses over a surface containing combustible material, allowing for vortex flow incineration of the material to occur inside a combustion chamber, aided by a vortical flow of air which is controlled for greater combustion efficiency. Compared with current methods and apparatuses to cleanup similar waste, the present method requires minimal moving parts, is mobile, is low cost, is easy to construct, enables high-quality combustion, burns faster and more complete, produces low emissions, incinerates waste material on land and water, and mitigates the creation of combustion residue which thereby mitigates the adverse effects of such combustion residue that smothers ocean life.