“…In rivers and lakes, vegetation characteristics and layout, river and lake bottom form, degree of bending of the river course, sediments, and suspended solids all have an effect on the characteristics of water flow (Jiang et al., 2022; C. Liu, Shan, et al., 2020; S. Li & Katul, 2020; Li et al., 2023; C. Liu et al., 2021; Shan et al., 2020; Sun et al., 2022; Yang et al., 2023; Zhan et al., 2024; Zhang et al., 2020, 2024). Among them, the velocity distribution is the focus of research of rivers and the basis of aquatic environments, water ecology, and water–sediment movement (Cheng, 2015; G. Katul et al., 2002; S. Li et al., 2019; Z. Liu et al., 2011, 2012; Pan et al., 2020; Stoesser et al., 2010). Methods for solving the velocity distribution primarily include numerical solution models and analytical solution models (Finnigan & Belcher, 2004; Huai et al., 2009, 2019; Z. Liu et al., 2012; Stoesser et al., 2006, 2009; C. Liu & Shan, 2022; Shan et al., 2023).…”