Direct-injection engine with turbocharger and method of controlling the same

The invention relates to a direct-injection engine (1) incorporating a turbocharger (31, 32), fuel combustion is improved to enhance fuel economy within the high-load range of engine torque, and furthermore to control occurrence of smoke in the range of great load within the lean-burn range. Scavenging acceleration control is conducted to scavenge the exhaust gases in the combustion chamber (22) by using at least one of the intake pipe pressure, the combustion chamber pressure, and the exhaust pipe pressure, and the fuel is injected twice during the intake stroke and the compression stroke.