Automated　vehicles　(AVs)　are　widely　considered　to　play　a　crucial　role　in　future　transportation　systems　because　of　their　speculated　capabilities　in　improving　road　safety,　saving　energy　consumption,　reducing　vehicle　emissions,　increasing　road　capacity,　and　stabilizing　traffic.　To　materialize　these　widely　expected　potentials　of　AVs,　a　sound　understanding　of　AVs’　impacts　on　traffic　flow　is　essential.　Not　surprisingly,　despite　the　relatively　short　history　of　AVs,　there　have　been　numerous　studies　in　the　literature　focusing　on　understanding　and　modeling　various　aspects　of　AV-involved　traffic　flow　and　significant　progresses　have　already　been　made.　To　understand　the　recent　development　and　ultimately　inspire　new　research　ideas　on　this　important　topic,　this　survey　systematically　and　comprehensively　reviews　the　existing　AV-involved　traffic　flow　models　with　different　levels　of　details,　and　examines　the　relationship　among　the　design　of　AV-based　driving　strategies,　the　management　of　transportation　systems,　and　the　resulting　traffic　dynamics.　The　pros　and　cons　of　the　existing　models　and　approaches　are　critically　discussed,　and　future　research　directions　are　also　provided.　©　2021　The　Author(s)