Abstract Flow around a circular cylinder is ubiquitous in nature and industrial applications. In marine, coastal and bridge engineering, undesirable vortex-induced vibrations (VIVs) of structural components are common, and the periodic vortex shedding (von Ka´documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$acute{a}$$end{document}rmen vortex streets) of the cylinder plays a crucial role in the VIVs. Therefore, it makes sense to consider approaches to suppress vortex shedding and improve the surrounding flow of the cylinder. Two categories of flow control methods, i.e., passive and active strategies, effectively handled this problem. Compared to active control, the passive control method does not require additional energy input to maintain the process and is easier and more cost-effective to implement, making it worth investigating. This selective literature review gives academic frontiers on passive control of flow past a circular cylinder, including splitter plate, groove, screen, rough surfaces, spirals and helical plates, slit passive jets, control rods, porous media coating and vortex generators. Finally, we give a brief outlook on the application of machine deep learning methods in the passive control of flow around a circular cylinder.Graphical abstract
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