A new discretization method for the convective terms in the incompressible Navier-Stokes equations

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Abstract

n this contribution we present the use of local one-dimensional boundary value problems (BVPs) to compute the interface velocities in the convective terms of the incompressible Navier-Stokes equations. This technique provides us with a better estimate for the interface velocities than linear interpolants.
Original languageEnglish
Title of host publicationFinite Volumes for Complex Applications VII - Methods and Theoretical Aspects (FVCA 7, Berlin, Germany, June 15-20, 2014)
EditorsJ. Fuhrmann, M. Ohlberger, C. Rohde
PublisherSpringer
Pages363-371
ISBN (Print)978-3-319-05684-5
DOIs
Publication statusPublished - 2014

Publication series

NameSpringer Proceedings in Mathematics & Statistics
Volume77
ISSN (Print)2194-1009

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  • Cite this

    Kumar, N., Thije Boonkkamp, ten, J. H. M., & Koren, B. (2014). A new discretization method for the convective terms in the incompressible Navier-Stokes equations. In J. Fuhrmann, M. Ohlberger, & C. Rohde (Eds.), Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects (FVCA 7, Berlin, Germany, June 15-20, 2014) (pp. 363-371). (Springer Proceedings in Mathematics & Statistics; Vol. 77). Springer. https://doi.org/10.1007/978-3-319-05684-5_35