The present invention relates to a method of scavenging the residual burnt gas of a direct-injection multi-cylinder internal-combustion engine (10), notably of diesel type, with a piston moving in a reciprocating motion between a top dead center (PMH) and a bottom dead center (PMB), wherein a burnt gas scavenging stage is carried out by means of a sequence of opening/closing at least one exhaust valve (18) during exhaust phase (E) of the engine and of at least one sequence of opening/closing at least one intake valve (28) during this exhaust valve opening/closing sequence.;According to the invention, the method consists in starting the sequence of opening/closing exhaust valve (18) at a crank angle (e1) located after the bottom dead center (PMBe) of the exhaust phase and in ending this sequence at most at the next top dead center (PMHa).
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