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A finite difference solver for incompressible Navier–Stokes flows in complex domains

Kozyrakis Georgios, Delis Anargyros, Kampanis, Nikolaos A

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URIhttp://purl.tuc.gr/dl/dias/860C9A41-0C97-44E4-90C3-3D2E7A452210-
Identifierhttps://www.sciencedirect.com/science/article/pii/S0168927416301374?via%3Dihub-
Identifierhttps://doi.org/10.1016/j.apnum.2016.07.010-
Languageen-
Extent24 pagesen
TitleA finite difference solver for incompressible Navier–Stokes flows in complex domainsen
CreatorKozyrakis Georgiosen
CreatorDelis Anargyrosen
CreatorΔελης Αναργυροςel
CreatorKampanis, Nikolaos Aen
PublisherElsevieren
Content SummaryModern CFD applications require the treatment of general complex domains to accurately model the emerging flow patterns. In the present work, a new low order finite difference scheme is employed and tested for the numerical solution of the incompressible Navier–Stokes equations in a complex domain described in curvilinear coordinates. A staggered grid discretization is used on both the physical and computational domains. A subgrid based computation of the Jacobian and the metric coefficients of the transformation is used. The incompressibility condition, properly transformed in curvilinear coordinates, is enforced by an iterative procedure employing either a modified local pressure correction technique or the globally defined numerical solution of a general elliptic BVP. Results obtained by the proposed overall solution technique, exhibit very good agreement with other experimental and numerical calculations for a variety of domains and grid configurations. The overall numerical solver effectively treats the general complex domains.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2018-05-14-
Date of Publication2017-
SubjectCurvilinear coordinatesen
SubjectFinite differencesen
SubjectGeneral elliptic BVPen
SubjectMetric coefficientsen
SubjectNavier–Stokes equationsen
SubjectPressure correctionen
SubjectStaggered griden
Bibliographic CitationG. V. Kozyrakis, A. I. Delis and N. A. Kampanis, "A finite difference solver for incompressible Navier–Stokes flows in complex domains," Appl. Numer. Math., vol. 115, pp. 275-298, May 2017. doi: 10.1016/j.apnum.2016.07.010en

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