The present invention is a compression-ignition direct-injection internal-combustion engine comprising at least a cylinder (10), a cylinder head (12) carrying fuel injection means (14), a piston (16) sliding in this cylinder, a combustion chamber (34) having on one side an upper face (44) of the piston comprising a projection (48) extending in the direction of the cylinder head and located at the center of a concave bowl (46). The engine comprises an injector projecting fuel in at least two fuel jet sheets with sheet injection angles (A1, A2), a lower sheet (36) of jet axis C1 and an upper sheet (38) of jet axis C2, at least two mixing zones (Z1, Z2) of the combustion chamber. According to the invention, one of the zones comprises a toroidal volume (64) of center B into which fuel jets (40) of the lower jet are injected in such a way that axis C1 of the lower jet is contained between center B and projection (48).