{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,14]],"date-time":"2026-03-14T08:32:45Z","timestamp":1773477165164,"version":"3.50.1"},"reference-count":34,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2022,1,4]],"date-time":"2022-01-04T00:00:00Z","timestamp":1641254400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100014219","name":"National Science Fund for Distinguished Young Scholars","doi-asserted-by":"publisher","award":["51625901"],"award-info":[{"award-number":["51625901"]}],"id":[{"id":"10.13039\/501100014219","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The water flow characteristics over an interval-pooled stepped spillway are investigated by combining the renormalization group (RNG) k-\u03b5 turbulence model with the volume of fluid (VOF) interface capture technique in the present study. The results show that the energy dissipation performance of the interval-pooled stepped spillway was generally better than that of the pooled, stepped spillways and the traditional flat-panel stepped spillway. The omega vortex intensity identification method is introduced to evaluate the energy dissipation. Due to the formation of \u201cpseudo-weir\u201d, the energy dissipation did not increase with the growth of the pool\u2019s height. In addition, the average vortex intensity can characterize the dissipation rate to some extent.<\/jats:p>","DOI":"10.3390\/e24010085","type":"journal-article","created":{"date-parts":[[2022,1,6]],"date-time":"2022-01-06T03:41:32Z","timestamp":1641440492000},"page":"85","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Analysis of Energy Dissipation of Interval-Pooled Stepped Spillways"],"prefix":"10.3390","volume":"24","author":[{"given":"Xin","family":"Ma","sequence":"first","affiliation":[{"name":"State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, China"},{"name":"State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Nanjing Hydraulic Research Institute, Nanjing 210029, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianmin","family":"Zhang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yaan","family":"Hu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Nanjing Hydraulic Research Institute, Nanjing 210029, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1061\/(ASCE)0733-9429(2003)129:9(671)","article-title":"Hydraulic Design of Stepped Spillways","volume":"129","author":"Boes","year":"2003","journal-title":"J. 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