{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T18:34:02Z","timestamp":1787337242431,"version":"build-2736575974"},"reference-count":28,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2001,1]]},"abstract":"<jats:p>We describe and illustrate numerical procedures that combine grid and particle solvers for the solution of the incompressible Navier--Stokes equations. These procedures include vortex in cell (VIC) and domain decomposition schemes. Numerical comparisons with pure finite-difference methods demonstrate the effectiveness of these techniques for various flow geometries, bounded or unbounded.<\/jats:p>","DOI":"10.1137\/s1064827599350769","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"1655-1674","source":"Crossref","is-referenced-by-count":63,"title":["Blending Finite-Difference and Vortex Methods for Incompressible Flow Computations"],"prefix":"10.1137","volume":"22","author":[{"given":"M. L.","family":"Ould-Salihi","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"G. H.","family":"Cottet","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M.","family":"El Hamraoui","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,25]]},"reference":[{"key":"R1","unstructured":"J. Beale, On the accuracy of vortex methods at large times, IMA Vol. Math. Appl., Vol. 12, Springer, New York, 1988, 19\u20133291a:76070"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1968-0242392-2"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(80)90040-6"},{"key":"R4","unstructured":"G.\u2010H. Cottet, Particle\u2010grid domain decomposition methods for the Navier\u2010Stokes equations in exterior domains, Lectures in Appl. Math., Vol. 28, Amer. Math. Soc., Providence, RI, 1991, 103\u20131171146470"},{"key":"R5","unstructured":"G.\u2010H. Cottet, A vorticity creation algorithm for the Navier\u2010Stokes equations in arbitrary domain, Plenum, New York, 1995, 335\u201334996j:76036"},{"key":"R6","unstructured":"G.\u2010H. Cottet and P. Koumoutsakos,\n                      Vortex Methods\n                      , Cambridge University Press, Cambridge, 2000."},{"key":"R7","first-page":"164","volume":"7","author":"Cottet G.\u2010H.","year":"1999","journal-title":"J. Comput. Phys.","ISSN":"https:\/\/id.crossref.org\/issn\/0021-9991","issn-type":"print"},{"key":"R8","unstructured":"G.\u2010H. Cottet, B. Michaux, S. Ossia, and G. VanderLinden,\n                      A comparison of spectral and vortex methods in three dimensional incompressible flows\n                      , J. Comput. 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Ould\u2010Salihi,\n                      Couplage des m\u00e9thodes num\u00e9riques en simulation directe d\u2018\u00e9coulements incompressibles\n                      , Th\u00e8se de doctorat, Universit\u00e9 Joseph Fourier, Grenoble, 1998."},{"key":"R19","unstructured":"R. Mittal,\n                      Large\u2010eddy simulation of flow past a circular cylinder\n                      , in CTR Annual Research Briefs, 1995, pp. 107\u2013116."},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(85)90006-3"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1063\/1.857591"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(81)90222-9"},{"key":"R23","unstructured":"I. J. Schoenberg,\n                      Cardinal Spline Interpolation\n                      , SIAM, Philadelphia, 1973."},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.1051\/proc:1999038"},{"key":"R24","unstructured":"also available online from http:\/\/www.emath.fr\/proc\/Vol.7."},{"key":"R25","doi-asserted-by":"publisher","DOI":"10.1007\/BF00987573"},{"key":"R26","unstructured":"C. H. K. Williamson, 2D\n                      and\n                      3D\n                      aspects of the wake of a cylinder and their relation with wake computation\n                      , in Vortex Dynamics and Vortex Methods, Lectures in Appl. Math. 28, AMS, Providence, RI, 1991, pp. 719\u2013751."}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S1064827599350769","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T17:51:46Z","timestamp":1787334706000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S1064827599350769"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,1]]},"references-count":28,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2001,1]]}},"alternative-id":["10.1137\/S1064827599350769"],"URL":"https:\/\/doi.org\/10.1137\/s1064827599350769","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,1]]}}}