A cylinder head arrangement is provided for an internal combustion engine of a motor vehicle. The cylinder head arrangement includes, but is not limited to a combustion chamber, a first intake valve in a first intake port, as well as a first exhaust valve in a first exhaust port and a second exhaust valve in a second exhaust port (19). The second exhaust port is realized in such a way that a gas flow from the second exhaust port back into the combustion chamber results in an at least partially swirling flow in the combustion chamber.