Intro; 1. Introduction; 2. Fundamentals of reactive flows, turbulence and premixed flames; 3. Flame -- wall interaction: a literature-based analysis; 4. Experimental and simulative analysis of flame-wall interactions in a spark-ignition engine; 5. Modelling premixed flame-wall interactions using a level-set flamelet approach; 6. Application to combustion simulation in a direct-injection SI engine; 7. Summary and conclusion