A compression-ignition direct-injection internal-combustion engine comprising a cylinder, a fuel injection system including fuel injectors, a cylinder head carrying the fuel injectors, a piston sliding in the cylinder, a combustion chamber limited on one side by an upper face of the piston comprising a projection extending toward the cylinder head and located in a center of a concave bowl with at least two mixing zones, the first mixing zone comprising a torus and the second mixing zone comprising a concave surface, the fuel injection system projecting fuel in at least two fuel jet sheets with respectively different conical sheet angles, a lower fuel jet sheet having a jet axis extending toward and into the first mixing zone and an upper fuel jet sheet having a jet axis extending toward and into the second mixing zone, wherein the fuel injection system controls the fuel injectors to inject fuel into the combustion chamber with a first flow rate of fuel injection into the first zone and with a second flow rate of fuel injection into the second zone with the second flow rate of fuel injection being different than the first flow rate of fuel injection.