A sub-cell discretization method for the convective terms in the incompressible navier-stokes equations

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Abstract

In this contribution we present a sub-cell discretization method for the computation of the interface velocities involved in the convective terms of the incompressible Navier-Stokes equations. We compute an interface velocity by solving a local two-point boundary value problem (BVP) iteratively. To account for the two-dimensionality of the interface velocity we introduce a constant cross-flux term in our computation. The discretization scheme is used to simulate the flow in a lid-driven cavity.

Original languageEnglish
Title of host publicationSpectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014
Subtitle of host publicationSelected papers from the ICOSAHOM conference, June 23-27, 2014, Salt Lake City, Utah, USA
EditorsR.M. Kirby, M. Berzins, J.S. Hesthaven
Place of PublicationDordrecht
PublisherSpringer
Pages295-303
Number of pages9
ISBN (Electronic)978-3-319-19800-2
ISBN (Print)978-3-319-19799-9
DOIs
Publication statusPublished - 2015
Event10th International Conference on Spectral and High-Order Methods (ICOSAHOM 2014) - Salt Lake City, United States
Duration: 23 Jun 201427 Jun 2014
Conference number: 10

Publication series

NameLecture Notes in Computational Science and Engineering
Volume106
ISSN (Print)1439-7358

Conference

Conference10th International Conference on Spectral and High-Order Methods (ICOSAHOM 2014)
Abbreviated titleICOSAHOM 2014
CountryUnited States
CitySalt Lake City
Period23/06/1427/06/14

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  • Cite this

    Kumar, N., ten Thije Boonkkamp, J. H. M., & Koren, B. (2015). A sub-cell discretization method for the convective terms in the incompressible navier-stokes equations. In R. M. Kirby, M. Berzins, & J. S. Hesthaven (Eds.), Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014: Selected papers from the ICOSAHOM conference, June 23-27, 2014, Salt Lake City, Utah, USA (pp. 295-303). (Lecture Notes in Computational Science and Engineering; Vol. 106). Dordrecht: Springer. https://doi.org/10.1007/978-3-319-19800-2_26