An apparatus for combustion steam generation is provided, which includes a combustion chamber having an inlet end and an outlet end; a manifold at the inlet end configured to introduce a fuel and an oxidizer into the combustion chamber; an outer casing defining a coolant chamber between the outer casing and the combustion chamber; and a plurality of converging coolant inlets for conducting coolant from the coolant chamber into the combustion chamber at or near the outlet end of the combustion chamber. The converging coolant inlets are radially disposed around the combustion chamber and preferably configured to produce a converging-diverging nozzle from the coolant conducted into the combustion chamber. The device may be used in systems and methods for enhanced recovery of subterranean hydrocarbons, by deployment into and operation in a wellbore, where the produced steam and combustion gases are injected into a hydrocarbon formation to enhance hydrocarbon recovery.