Flux approximation scheme for the incompressible Navier-Stokes equations using local boundary value problems

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Abstract

We present a flux approximation scheme for the incompressible Navier- Stokes equations, that is based on a flux approximation scheme for the scalar advection-diffusion-reaction equation that we developed earlier. The flux is computed from local boundary value problems (BVPs) and is expressed as a sum of a homogeneous and an inhomogeneous part. The homogeneous part depends on the balance of the convective and viscous forces and the inhomogeneous part depends on source terms included in the local BVP.

Original languageEnglish
Title of host publicationNumerical Mathematics and Advanced Applications - ENUMATH 2015
EditorsB. Karasozen, M. Manguoglu, M. Tezer-Sezgin, S. Goktepe, O. Ugur
PublisherSpringer
Pages43-51
Number of pages9
Volume112
ISBN (Electronic)978-3-319-39929-4
ISBN (Print)978-3-319-39927-0
DOIs
Publication statusPublished - 2016
Event2015 European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2015) - Middle East Technical University, Ankara, Turkey
Duration: 14 Sep 201518 Sep 2015

Publication series

NameLecture Notes in Computational Science and Engineering
Volume112
ISSN (Print)1439-7358

Conference

Conference2015 European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2015)
Abbreviated titleENUMATH 2015
CountryTurkey
CityAnkara
Period14/09/1518/09/15

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  • Cite this

    Kumar, N., ten Thije Boonkkamp, J. H. M., & Koren, B. (2016). Flux approximation scheme for the incompressible Navier-Stokes equations using local boundary value problems. In B. Karasozen, M. Manguoglu, M. Tezer-Sezgin, S. Goktepe, & O. Ugur (Eds.), Numerical Mathematics and Advanced Applications - ENUMATH 2015 (Vol. 112, pp. 43-51). (Lecture Notes in Computational Science and Engineering; Vol. 112). Springer. https://doi.org/10.1007/978-3-319-39929-4_5