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Both the momentum and continuity equations are approximated in a flux-conservative fashion, <jats:italic>i.e<\/jats:italic>. the conservation for both quantities is discretely exact. The attractive side of the method is a simple flux-based finite-volume construction of the scheme. Applicability of the method is demonstrated on several numerical tests using general polyhedral grids.<\/jats:p>","DOI":"10.1515\/jnma-2020-0008","type":"journal-article","created":{"date-parts":[[2020,9,7]],"date-time":"2020-09-07T12:21:41Z","timestamp":1599481301000},"source":"Crossref","is-referenced-by-count":2,"title":["Collocated Finite-Volume Method for the Incompressible Navier-Stokes Problem"],"prefix":"10.1515","volume":"0","author":[{"given":"Kirill M.","family":"Terekhov","sequence":"first","affiliation":[{"name":"Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences , Gubkin str., 8 , Moscow , 119333 , Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2020,9,2]]},"reference":[{"key":"2021021210304521560_j_jnma-2020-0008_ref_001_w2aab3b7ab1b6b1ab2b1aAa","doi-asserted-by":"crossref","unstructured":"L. Ag\u00e9las, R. Eymard, and R. Herbin. 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