### 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 language | English |
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Title of host publication | Numerical Mathematics and Advanced Applications - ENUMATH 2015 |

Editors | B. Karasozen, M. Manguoglu, M. Tezer-Sezgin, S. Goktepe, O. Ugur |

Publisher | Springer |

Pages | 43-51 |

Number of pages | 9 |

Volume | 112 |

ISBN (Electronic) | 978-3-319-39929-4 |

ISBN (Print) | 978-3-319-39927-0 |

DOIs | |

Publication status | Published - 2016 |

Event | 2015 European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2015) - Middle East Technical University, Ankara, Turkey Duration: 14 Sep 2015 → 18 Sep 2015 |

### Publication series

Name | Lecture Notes in Computational Science and Engineering |
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Volume | 112 |

ISSN (Print) | 1439-7358 |

### Conference

Conference | 2015 European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2015) |
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Abbreviated title | ENUMATH 2015 |

Country | Turkey |

City | Ankara |

Period | 14/09/15 → 18/09/15 |

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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