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Mixed cover with linear polynomial function for velocity and constant function for pressure was employed in finite element cover system. As an application, mixed cover 4\u2010node rectangular manifold element has been used to simulate the incompressible viscous flow around a square cylinder in a channel. Numerical tests illustrate that NMM is an effective and high\u2010order accurate numerical method for incompressible viscous flow N\u2010S equations.<\/jats:p>","DOI":"10.1155\/2012\/465972","type":"journal-article","created":{"date-parts":[[2012,10,2]],"date-time":"2012-10-02T23:27:50Z","timestamp":1349220470000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Direct Simulation of Low\u2010Re Flow around a Square Cylinder by Numerical Manifold Method for Navier\u2010Stokes Equations"],"prefix":"10.1155","volume":"2012","author":[{"given":"Zhengrong","family":"Zhang","sequence":"first","affiliation":[]},{"given":"Xiangwei","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,10,2]]},"reference":[{"doi-asserted-by":"publisher","key":"e_1_2_7_1_2","DOI":"10.1007\/978-3-642-97651-3"},{"doi-asserted-by":"publisher","key":"e_1_2_7_2_2","DOI":"10.1016\/j.jcp.2009.09.005"},{"doi-asserted-by":"publisher","key":"e_1_2_7_3_2","DOI":"10.1155\/2011\/129724"},{"doi-asserted-by":"publisher","key":"e_1_2_7_4_2","DOI":"10.1016\/S1290-0729(00)00276-3"},{"doi-asserted-by":"publisher","key":"e_1_2_7_5_2","DOI":"10.1155\/2012\/545120"},{"unstructured":"ShiG. 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