### 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 the 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 square cavity.

Original language | English |
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Place of Publication | Eindhoven |

Publisher | Technische Universiteit Eindhoven |

Number of pages | 8 |

Publication status | Published - 2014 |

### Publication series

Name | CASA-report |
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Volume | 1430 |

ISSN (Print) | 0926-4507 |

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## Cite this

Kumar, N., Thije Boonkkamp, ten, J. H. M., & Koren, B. (2014).

*A sub-cell discretization method for the convective terms in the incompressible Navier-Stokes equations*. (CASA-report; Vol. 1430). Technische Universiteit Eindhoven.